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1 | 2390-2393 | 8
In a parallel plate capacitor with air between the plates, each plate
has an area of 6 × 10–3 m2 and the distance between the plates is 3 mm Calculate the capacitance of the capacitor If this capacitor is
connected to a 100 V supply, what is the charge on each plate of the
capacitor Rationalised 2023-24
Physics
80
2 |
1 | 2391-2394 | Calculate the capacitance of the capacitor If this capacitor is
connected to a 100 V supply, what is the charge on each plate of the
capacitor Rationalised 2023-24
Physics
80
2 9
Explain what would happen if in the capacitor given in Exercise
2 |
1 | 2392-2395 | If this capacitor is
connected to a 100 V supply, what is the charge on each plate of the
capacitor Rationalised 2023-24
Physics
80
2 9
Explain what would happen if in the capacitor given in Exercise
2 8, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted
between the plates,
(a)
while the voltage supply remained connected |
1 | 2393-2396 | Rationalised 2023-24
Physics
80
2 9
Explain what would happen if in the capacitor given in Exercise
2 8, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted
between the plates,
(a)
while the voltage supply remained connected (b)
after the supply was disconnected |
1 | 2394-2397 | 9
Explain what would happen if in the capacitor given in Exercise
2 8, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted
between the plates,
(a)
while the voltage supply remained connected (b)
after the supply was disconnected 2 |
1 | 2395-2398 | 8, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted
between the plates,
(a)
while the voltage supply remained connected (b)
after the supply was disconnected 2 10
A 12pF capacitor is connected to a 50V battery |
1 | 2396-2399 | (b)
after the supply was disconnected 2 10
A 12pF capacitor is connected to a 50V battery How much
electrostatic energy is stored in the capacitor |
1 | 2397-2400 | 2 10
A 12pF capacitor is connected to a 50V battery How much
electrostatic energy is stored in the capacitor 2 |
1 | 2398-2401 | 10
A 12pF capacitor is connected to a 50V battery How much
electrostatic energy is stored in the capacitor 2 11
A 600pF capacitor is charged by a 200V supply |
1 | 2399-2402 | How much
electrostatic energy is stored in the capacitor 2 11
A 600pF capacitor is charged by a 200V supply It is then
disconnected from the supply and is connected to another
uncharged 600 pF capacitor |
1 | 2400-2403 | 2 11
A 600pF capacitor is charged by a 200V supply It is then
disconnected from the supply and is connected to another
uncharged 600 pF capacitor How much electrostatic energy is lost
in the process |
1 | 2401-2404 | 11
A 600pF capacitor is charged by a 200V supply It is then
disconnected from the supply and is connected to another
uncharged 600 pF capacitor How much electrostatic energy is lost
in the process Rationalised 2023-24
3 |
1 | 2402-2405 | It is then
disconnected from the supply and is connected to another
uncharged 600 pF capacitor How much electrostatic energy is lost
in the process Rationalised 2023-24
3 1 INTRODUCTION
In Chapter 1, all charges whether free or bound, were considered to be at
rest |
1 | 2403-2406 | How much electrostatic energy is lost
in the process Rationalised 2023-24
3 1 INTRODUCTION
In Chapter 1, all charges whether free or bound, were considered to be at
rest Charges in motion constitute an electric current |
1 | 2404-2407 | Rationalised 2023-24
3 1 INTRODUCTION
In Chapter 1, all charges whether free or bound, were considered to be at
rest Charges in motion constitute an electric current Such currents occur
naturally in many situations |
1 | 2405-2408 | 1 INTRODUCTION
In Chapter 1, all charges whether free or bound, were considered to be at
rest Charges in motion constitute an electric current Such currents occur
naturally in many situations Lightning is one such phenomenon in
which charges flow from the clouds to the earth through the atmosphere,
sometimes with disastrous results |
1 | 2406-2409 | Charges in motion constitute an electric current Such currents occur
naturally in many situations Lightning is one such phenomenon in
which charges flow from the clouds to the earth through the atmosphere,
sometimes with disastrous results The flow of charges in lightning is not
steady, but in our everyday life we see many devices where charges flow
in a steady manner, like water flowing smoothly in a river |
1 | 2407-2410 | Such currents occur
naturally in many situations Lightning is one such phenomenon in
which charges flow from the clouds to the earth through the atmosphere,
sometimes with disastrous results The flow of charges in lightning is not
steady, but in our everyday life we see many devices where charges flow
in a steady manner, like water flowing smoothly in a river A torch and a
cell-driven clock are examples of such devices |
1 | 2408-2411 | Lightning is one such phenomenon in
which charges flow from the clouds to the earth through the atmosphere,
sometimes with disastrous results The flow of charges in lightning is not
steady, but in our everyday life we see many devices where charges flow
in a steady manner, like water flowing smoothly in a river A torch and a
cell-driven clock are examples of such devices In the present chapter, we
shall study some of the basic laws concerning steady electric currents |
1 | 2409-2412 | The flow of charges in lightning is not
steady, but in our everyday life we see many devices where charges flow
in a steady manner, like water flowing smoothly in a river A torch and a
cell-driven clock are examples of such devices In the present chapter, we
shall study some of the basic laws concerning steady electric currents 3 |
1 | 2410-2413 | A torch and a
cell-driven clock are examples of such devices In the present chapter, we
shall study some of the basic laws concerning steady electric currents 3 2 ELECTRIC CURRENT
Imagine a small area held normal to the direction of flow of charges |
1 | 2411-2414 | In the present chapter, we
shall study some of the basic laws concerning steady electric currents 3 2 ELECTRIC CURRENT
Imagine a small area held normal to the direction of flow of charges Both
the positive and the negative charges may flow forward and backward
across the area |
1 | 2412-2415 | 3 2 ELECTRIC CURRENT
Imagine a small area held normal to the direction of flow of charges Both
the positive and the negative charges may flow forward and backward
across the area In a given time interval t, let q+ be the net amount (i |
1 | 2413-2416 | 2 ELECTRIC CURRENT
Imagine a small area held normal to the direction of flow of charges Both
the positive and the negative charges may flow forward and backward
across the area In a given time interval t, let q+ be the net amount (i e |
1 | 2414-2417 | Both
the positive and the negative charges may flow forward and backward
across the area In a given time interval t, let q+ be the net amount (i e ,
forward minus backward) of positive charge that flows in the forward
direction across the area |
1 | 2415-2418 | In a given time interval t, let q+ be the net amount (i e ,
forward minus backward) of positive charge that flows in the forward
direction across the area Similarly, let q– be the net amount of negative
charge flowing across the area in the forward direction |
1 | 2416-2419 | e ,
forward minus backward) of positive charge that flows in the forward
direction across the area Similarly, let q– be the net amount of negative
charge flowing across the area in the forward direction The net amount
of charge flowing across the area in the forward direction in the time
interval t, then, is q = q+– q– |
1 | 2417-2420 | ,
forward minus backward) of positive charge that flows in the forward
direction across the area Similarly, let q– be the net amount of negative
charge flowing across the area in the forward direction The net amount
of charge flowing across the area in the forward direction in the time
interval t, then, is q = q+– q– This is proportional to t for steady current
Chapter Three
CURRENT
ELECTRICITY
Rationalised 2023-24
Physics
82
and the quotient
q
I
=t
(3 |
1 | 2418-2421 | Similarly, let q– be the net amount of negative
charge flowing across the area in the forward direction The net amount
of charge flowing across the area in the forward direction in the time
interval t, then, is q = q+– q– This is proportional to t for steady current
Chapter Three
CURRENT
ELECTRICITY
Rationalised 2023-24
Physics
82
and the quotient
q
I
=t
(3 1)
is defined to be the current across the area in the forward direction |
1 | 2419-2422 | The net amount
of charge flowing across the area in the forward direction in the time
interval t, then, is q = q+– q– This is proportional to t for steady current
Chapter Three
CURRENT
ELECTRICITY
Rationalised 2023-24
Physics
82
and the quotient
q
I
=t
(3 1)
is defined to be the current across the area in the forward direction (If it
turn out to be a negative number, it implies a current in the backward
direction |
1 | 2420-2423 | This is proportional to t for steady current
Chapter Three
CURRENT
ELECTRICITY
Rationalised 2023-24
Physics
82
and the quotient
q
I
=t
(3 1)
is defined to be the current across the area in the forward direction (If it
turn out to be a negative number, it implies a current in the backward
direction )
Currents are not always steady and hence more generally, we define
the current as follows |
1 | 2421-2424 | 1)
is defined to be the current across the area in the forward direction (If it
turn out to be a negative number, it implies a current in the backward
direction )
Currents are not always steady and hence more generally, we define
the current as follows Let DQ be the net charge flowing across a cross-
section of a conductor during the time interval Dt [i |
1 | 2422-2425 | (If it
turn out to be a negative number, it implies a current in the backward
direction )
Currents are not always steady and hence more generally, we define
the current as follows Let DQ be the net charge flowing across a cross-
section of a conductor during the time interval Dt [i e |
1 | 2423-2426 | )
Currents are not always steady and hence more generally, we define
the current as follows Let DQ be the net charge flowing across a cross-
section of a conductor during the time interval Dt [i e , between times t
and (t + Dt)] |
1 | 2424-2427 | Let DQ be the net charge flowing across a cross-
section of a conductor during the time interval Dt [i e , between times t
and (t + Dt)] Then, the current at time t across the cross-section of the
conductor is defined as the value of the ratio of DQ to Dt in the limit of Dt
tending to zero,
( )
lim0
t
Q
I t
t
∆ →
∆
≡
∆
(3 |
1 | 2425-2428 | e , between times t
and (t + Dt)] Then, the current at time t across the cross-section of the
conductor is defined as the value of the ratio of DQ to Dt in the limit of Dt
tending to zero,
( )
lim0
t
Q
I t
t
∆ →
∆
≡
∆
(3 2)
In SI units, the unit of current is ampere |
1 | 2426-2429 | , between times t
and (t + Dt)] Then, the current at time t across the cross-section of the
conductor is defined as the value of the ratio of DQ to Dt in the limit of Dt
tending to zero,
( )
lim0
t
Q
I t
t
∆ →
∆
≡
∆
(3 2)
In SI units, the unit of current is ampere An ampere is defined
through magnetic effects of currents that we will study in the following
chapter |
1 | 2427-2430 | Then, the current at time t across the cross-section of the
conductor is defined as the value of the ratio of DQ to Dt in the limit of Dt
tending to zero,
( )
lim0
t
Q
I t
t
∆ →
∆
≡
∆
(3 2)
In SI units, the unit of current is ampere An ampere is defined
through magnetic effects of currents that we will study in the following
chapter An ampere is typically the order of magnitude of currents in
domestic appliances |
1 | 2428-2431 | 2)
In SI units, the unit of current is ampere An ampere is defined
through magnetic effects of currents that we will study in the following
chapter An ampere is typically the order of magnitude of currents in
domestic appliances An average lightning carries currents of the order
of tens of thousands of amperes and at the other extreme, currents in
our nerves are in microamperes |
1 | 2429-2432 | An ampere is defined
through magnetic effects of currents that we will study in the following
chapter An ampere is typically the order of magnitude of currents in
domestic appliances An average lightning carries currents of the order
of tens of thousands of amperes and at the other extreme, currents in
our nerves are in microamperes 3 |
1 | 2430-2433 | An ampere is typically the order of magnitude of currents in
domestic appliances An average lightning carries currents of the order
of tens of thousands of amperes and at the other extreme, currents in
our nerves are in microamperes 3 3 ELECTRIC CURRENTS IN CONDUCTORS
An electric charge will experience a force if an electric field is applied |
1 | 2431-2434 | An average lightning carries currents of the order
of tens of thousands of amperes and at the other extreme, currents in
our nerves are in microamperes 3 3 ELECTRIC CURRENTS IN CONDUCTORS
An electric charge will experience a force if an electric field is applied If it is
free to move, it will thus move contributing to a current |
1 | 2432-2435 | 3 3 ELECTRIC CURRENTS IN CONDUCTORS
An electric charge will experience a force if an electric field is applied If it is
free to move, it will thus move contributing to a current In nature, free
charged particles do exist like in upper strata of atmosphere called the
ionosphere |
1 | 2433-2436 | 3 ELECTRIC CURRENTS IN CONDUCTORS
An electric charge will experience a force if an electric field is applied If it is
free to move, it will thus move contributing to a current In nature, free
charged particles do exist like in upper strata of atmosphere called the
ionosphere However, in atoms and molecules, the negatively charged
electrons and the positively charged nuclei are bound to each other and
are thus not free to move |
1 | 2434-2437 | If it is
free to move, it will thus move contributing to a current In nature, free
charged particles do exist like in upper strata of atmosphere called the
ionosphere However, in atoms and molecules, the negatively charged
electrons and the positively charged nuclei are bound to each other and
are thus not free to move Bulk matter is made up of many molecules, a
gram of water, for example, contains approximately 1022 molecules |
1 | 2435-2438 | In nature, free
charged particles do exist like in upper strata of atmosphere called the
ionosphere However, in atoms and molecules, the negatively charged
electrons and the positively charged nuclei are bound to each other and
are thus not free to move Bulk matter is made up of many molecules, a
gram of water, for example, contains approximately 1022 molecules These
molecules are so closely packed that the electrons are no longer attached
to individual nuclei |
1 | 2436-2439 | However, in atoms and molecules, the negatively charged
electrons and the positively charged nuclei are bound to each other and
are thus not free to move Bulk matter is made up of many molecules, a
gram of water, for example, contains approximately 1022 molecules These
molecules are so closely packed that the electrons are no longer attached
to individual nuclei In some materials, the electrons will still be bound,
i |
1 | 2437-2440 | Bulk matter is made up of many molecules, a
gram of water, for example, contains approximately 1022 molecules These
molecules are so closely packed that the electrons are no longer attached
to individual nuclei In some materials, the electrons will still be bound,
i e |
1 | 2438-2441 | These
molecules are so closely packed that the electrons are no longer attached
to individual nuclei In some materials, the electrons will still be bound,
i e , they will not accelerate even if an electric field is applied |
1 | 2439-2442 | In some materials, the electrons will still be bound,
i e , they will not accelerate even if an electric field is applied In other
materials, notably metals, some of the electrons are practically free to move
within the bulk material |
1 | 2440-2443 | e , they will not accelerate even if an electric field is applied In other
materials, notably metals, some of the electrons are practically free to move
within the bulk material These materials, generally called conductors,
develop electric currents in them when an electric field is applied |
1 | 2441-2444 | , they will not accelerate even if an electric field is applied In other
materials, notably metals, some of the electrons are practically free to move
within the bulk material These materials, generally called conductors,
develop electric currents in them when an electric field is applied If we consider solid conductors, then of course the atoms are tightly
bound to each other so that the current is carried by the negatively
charged electrons |
1 | 2442-2445 | In other
materials, notably metals, some of the electrons are practically free to move
within the bulk material These materials, generally called conductors,
develop electric currents in them when an electric field is applied If we consider solid conductors, then of course the atoms are tightly
bound to each other so that the current is carried by the negatively
charged electrons There are, however, other types of conductors like
electrolytic solutions where positive and negative charges both can move |
1 | 2443-2446 | These materials, generally called conductors,
develop electric currents in them when an electric field is applied If we consider solid conductors, then of course the atoms are tightly
bound to each other so that the current is carried by the negatively
charged electrons There are, however, other types of conductors like
electrolytic solutions where positive and negative charges both can move In our discussions, we will focus only on solid conductors so that the
current is carried by the negatively charged electrons in the background
of fixed positive ions |
1 | 2444-2447 | If we consider solid conductors, then of course the atoms are tightly
bound to each other so that the current is carried by the negatively
charged electrons There are, however, other types of conductors like
electrolytic solutions where positive and negative charges both can move In our discussions, we will focus only on solid conductors so that the
current is carried by the negatively charged electrons in the background
of fixed positive ions Consider first the case when no electric field is present |
1 | 2445-2448 | There are, however, other types of conductors like
electrolytic solutions where positive and negative charges both can move In our discussions, we will focus only on solid conductors so that the
current is carried by the negatively charged electrons in the background
of fixed positive ions Consider first the case when no electric field is present The electrons
will be moving due to thermal motion during which they collide with the
fixed ions |
1 | 2446-2449 | In our discussions, we will focus only on solid conductors so that the
current is carried by the negatively charged electrons in the background
of fixed positive ions Consider first the case when no electric field is present The electrons
will be moving due to thermal motion during which they collide with the
fixed ions An electron colliding with an ion emerges with the same speed
as before the collision |
1 | 2447-2450 | Consider first the case when no electric field is present The electrons
will be moving due to thermal motion during which they collide with the
fixed ions An electron colliding with an ion emerges with the same speed
as before the collision However, the direction of its velocity after the
collision is completely random |
1 | 2448-2451 | The electrons
will be moving due to thermal motion during which they collide with the
fixed ions An electron colliding with an ion emerges with the same speed
as before the collision However, the direction of its velocity after the
collision is completely random At a given time, there is no preferential
direction for the velocities of the electrons |
1 | 2449-2452 | An electron colliding with an ion emerges with the same speed
as before the collision However, the direction of its velocity after the
collision is completely random At a given time, there is no preferential
direction for the velocities of the electrons Thus on the average, the
Rationalised 2023-24
Current
Electricity
83
number of electrons travelling in any direction will be equal to the number
of electrons travelling in the opposite direction |
1 | 2450-2453 | However, the direction of its velocity after the
collision is completely random At a given time, there is no preferential
direction for the velocities of the electrons Thus on the average, the
Rationalised 2023-24
Current
Electricity
83
number of electrons travelling in any direction will be equal to the number
of electrons travelling in the opposite direction So, there will be no net
electric current |
1 | 2451-2454 | At a given time, there is no preferential
direction for the velocities of the electrons Thus on the average, the
Rationalised 2023-24
Current
Electricity
83
number of electrons travelling in any direction will be equal to the number
of electrons travelling in the opposite direction So, there will be no net
electric current Let us now see what happens to such a
piece of conductor if an electric field is applied |
1 | 2452-2455 | Thus on the average, the
Rationalised 2023-24
Current
Electricity
83
number of electrons travelling in any direction will be equal to the number
of electrons travelling in the opposite direction So, there will be no net
electric current Let us now see what happens to such a
piece of conductor if an electric field is applied To focus our thoughts, imagine the conductor
in the shape of a cylinder of radius R (Fig |
1 | 2453-2456 | So, there will be no net
electric current Let us now see what happens to such a
piece of conductor if an electric field is applied To focus our thoughts, imagine the conductor
in the shape of a cylinder of radius R (Fig 3 |
1 | 2454-2457 | Let us now see what happens to such a
piece of conductor if an electric field is applied To focus our thoughts, imagine the conductor
in the shape of a cylinder of radius R (Fig 3 1) |
1 | 2455-2458 | To focus our thoughts, imagine the conductor
in the shape of a cylinder of radius R (Fig 3 1) Suppose we now take two thin circular discs
of a dielectric of the same radius and put
positive charge +Q distributed over one disc
and similarly –Q at the other disc |
1 | 2456-2459 | 3 1) Suppose we now take two thin circular discs
of a dielectric of the same radius and put
positive charge +Q distributed over one disc
and similarly –Q at the other disc We attach
the two discs on the two flat surfaces of the
cylinder |
1 | 2457-2460 | 1) Suppose we now take two thin circular discs
of a dielectric of the same radius and put
positive charge +Q distributed over one disc
and similarly –Q at the other disc We attach
the two discs on the two flat surfaces of the
cylinder An electric field will be created and
is directed from the positive towards the
negative charge |
1 | 2458-2461 | Suppose we now take two thin circular discs
of a dielectric of the same radius and put
positive charge +Q distributed over one disc
and similarly –Q at the other disc We attach
the two discs on the two flat surfaces of the
cylinder An electric field will be created and
is directed from the positive towards the
negative charge The electrons will be accelerated due to this field towards
+Q |
1 | 2459-2462 | We attach
the two discs on the two flat surfaces of the
cylinder An electric field will be created and
is directed from the positive towards the
negative charge The electrons will be accelerated due to this field towards
+Q They will thus move to neutralise the charges |
1 | 2460-2463 | An electric field will be created and
is directed from the positive towards the
negative charge The electrons will be accelerated due to this field towards
+Q They will thus move to neutralise the charges The electrons, as long
as they are moving, will constitute an electric current |
1 | 2461-2464 | The electrons will be accelerated due to this field towards
+Q They will thus move to neutralise the charges The electrons, as long
as they are moving, will constitute an electric current Hence in the
situation considered, there will be a current for a very short while and no
current thereafter |
1 | 2462-2465 | They will thus move to neutralise the charges The electrons, as long
as they are moving, will constitute an electric current Hence in the
situation considered, there will be a current for a very short while and no
current thereafter We can also imagine a mechanism where the ends of the cylinder are
supplied with fresh charges to make up for any charges neutralised by
electrons moving inside the conductor |
1 | 2463-2466 | The electrons, as long
as they are moving, will constitute an electric current Hence in the
situation considered, there will be a current for a very short while and no
current thereafter We can also imagine a mechanism where the ends of the cylinder are
supplied with fresh charges to make up for any charges neutralised by
electrons moving inside the conductor In that case, there will be a steady
electric field in the body of the conductor |
1 | 2464-2467 | Hence in the
situation considered, there will be a current for a very short while and no
current thereafter We can also imagine a mechanism where the ends of the cylinder are
supplied with fresh charges to make up for any charges neutralised by
electrons moving inside the conductor In that case, there will be a steady
electric field in the body of the conductor This will result in a continuous
current rather than a current for a short period of time |
1 | 2465-2468 | We can also imagine a mechanism where the ends of the cylinder are
supplied with fresh charges to make up for any charges neutralised by
electrons moving inside the conductor In that case, there will be a steady
electric field in the body of the conductor This will result in a continuous
current rather than a current for a short period of time Mechanisms,
which maintain a steady electric field are cells or batteries that we shall
study later in this chapter |
1 | 2466-2469 | In that case, there will be a steady
electric field in the body of the conductor This will result in a continuous
current rather than a current for a short period of time Mechanisms,
which maintain a steady electric field are cells or batteries that we shall
study later in this chapter In the next sections, we shall study the steady
current that results from a steady electric field in conductors |
1 | 2467-2470 | This will result in a continuous
current rather than a current for a short period of time Mechanisms,
which maintain a steady electric field are cells or batteries that we shall
study later in this chapter In the next sections, we shall study the steady
current that results from a steady electric field in conductors 3 |
1 | 2468-2471 | Mechanisms,
which maintain a steady electric field are cells or batteries that we shall
study later in this chapter In the next sections, we shall study the steady
current that results from a steady electric field in conductors 3 4 OHM’S LAW
A basic law regarding flow of currents was discovered by G |
1 | 2469-2472 | In the next sections, we shall study the steady
current that results from a steady electric field in conductors 3 4 OHM’S LAW
A basic law regarding flow of currents was discovered by G S |
1 | 2470-2473 | 3 4 OHM’S LAW
A basic law regarding flow of currents was discovered by G S Ohm in
1828, long before the physical mechanism responsible for flow of currents
was discovered |
1 | 2471-2474 | 4 OHM’S LAW
A basic law regarding flow of currents was discovered by G S Ohm in
1828, long before the physical mechanism responsible for flow of currents
was discovered Imagine a conductor through which a current I is flowing
and let V be the potential difference between the ends of the conductor |
1 | 2472-2475 | S Ohm in
1828, long before the physical mechanism responsible for flow of currents
was discovered Imagine a conductor through which a current I is flowing
and let V be the potential difference between the ends of the conductor Then Ohm’s law states that
V µ I
or, V = R I
(3 |
1 | 2473-2476 | Ohm in
1828, long before the physical mechanism responsible for flow of currents
was discovered Imagine a conductor through which a current I is flowing
and let V be the potential difference between the ends of the conductor Then Ohm’s law states that
V µ I
or, V = R I
(3 3)
where the constant of proportionality R is called the resistance of the
conductor |
1 | 2474-2477 | Imagine a conductor through which a current I is flowing
and let V be the potential difference between the ends of the conductor Then Ohm’s law states that
V µ I
or, V = R I
(3 3)
where the constant of proportionality R is called the resistance of the
conductor The SI units of resistance is ohm, and is denoted by the symbol
W |
1 | 2475-2478 | Then Ohm’s law states that
V µ I
or, V = R I
(3 3)
where the constant of proportionality R is called the resistance of the
conductor The SI units of resistance is ohm, and is denoted by the symbol
W The resistance R not only depends on the material of the conductor
but also on the dimensions of the conductor |
1 | 2476-2479 | 3)
where the constant of proportionality R is called the resistance of the
conductor The SI units of resistance is ohm, and is denoted by the symbol
W The resistance R not only depends on the material of the conductor
but also on the dimensions of the conductor The dependence of R on the
dimensions of the conductor can easily be determined as follows |
1 | 2477-2480 | The SI units of resistance is ohm, and is denoted by the symbol
W The resistance R not only depends on the material of the conductor
but also on the dimensions of the conductor The dependence of R on the
dimensions of the conductor can easily be determined as follows Consider a conductor satisfying Eq |
1 | 2478-2481 | The resistance R not only depends on the material of the conductor
but also on the dimensions of the conductor The dependence of R on the
dimensions of the conductor can easily be determined as follows Consider a conductor satisfying Eq (3 |
1 | 2479-2482 | The dependence of R on the
dimensions of the conductor can easily be determined as follows Consider a conductor satisfying Eq (3 3) to be in the form of a slab of
length l and cross sectional area A [Fig |
1 | 2480-2483 | Consider a conductor satisfying Eq (3 3) to be in the form of a slab of
length l and cross sectional area A [Fig 3 |
1 | 2481-2484 | (3 3) to be in the form of a slab of
length l and cross sectional area A [Fig 3 2(a)] |
1 | 2482-2485 | 3) to be in the form of a slab of
length l and cross sectional area A [Fig 3 2(a)] Imagine placing two such
identical slabs side by side [Fig |
1 | 2483-2486 | 3 2(a)] Imagine placing two such
identical slabs side by side [Fig 3 |
1 | 2484-2487 | 2(a)] Imagine placing two such
identical slabs side by side [Fig 3 2(b)], so that the length of the
combination is 2l |
1 | 2485-2488 | Imagine placing two such
identical slabs side by side [Fig 3 2(b)], so that the length of the
combination is 2l The current flowing through the combination is the
same as that flowing through either of the slabs |
1 | 2486-2489 | 3 2(b)], so that the length of the
combination is 2l The current flowing through the combination is the
same as that flowing through either of the slabs If V is the potential
difference across the ends of the first slab, then V is also the potential
difference across the ends of the second slab since the second slab is
FIGURE 3 |
1 | 2487-2490 | 2(b)], so that the length of the
combination is 2l The current flowing through the combination is the
same as that flowing through either of the slabs If V is the potential
difference across the ends of the first slab, then V is also the potential
difference across the ends of the second slab since the second slab is
FIGURE 3 1 Charges +Q and –Q put at the ends
of a metallic cylinder |
1 | 2488-2491 | The current flowing through the combination is the
same as that flowing through either of the slabs If V is the potential
difference across the ends of the first slab, then V is also the potential
difference across the ends of the second slab since the second slab is
FIGURE 3 1 Charges +Q and –Q put at the ends
of a metallic cylinder The electrons will drift
because of the electric field created to
neutralise the charges |
1 | 2489-2492 | If V is the potential
difference across the ends of the first slab, then V is also the potential
difference across the ends of the second slab since the second slab is
FIGURE 3 1 Charges +Q and –Q put at the ends
of a metallic cylinder The electrons will drift
because of the electric field created to
neutralise the charges The current thus
will stop after a while unless the charges +Q
and –Q are continuously replenished |
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