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1 | 3990-3993 | [4 31(a)] is very similar to an expression obtained
earlier for the electric field of a dipole The similarity may be seen if we
substitute,
0
1/0
µ
ε
→
Rationalised 2023-24
129
Moving Charges and
Magnetism
e
m→
p (electrostatic dipole)
B→
E (electrostatic field)
We then obtain,
3
0
2
4
e
εx
=
π
p
E
which is precisely the field for an electric dipole at a point on its axis considered in Chapter 1, Section 1 |
1 | 3991-3994 | 31(a)] is very similar to an expression obtained
earlier for the electric field of a dipole The similarity may be seen if we
substitute,
0
1/0
µ
ε
→
Rationalised 2023-24
129
Moving Charges and
Magnetism
e
m→
p (electrostatic dipole)
B→
E (electrostatic field)
We then obtain,
3
0
2
4
e
εx
=
π
p
E
which is precisely the field for an electric dipole at a point on its axis considered in Chapter 1, Section 1 10 [Eq |
1 | 3992-3995 | The similarity may be seen if we
substitute,
0
1/0
µ
ε
→
Rationalised 2023-24
129
Moving Charges and
Magnetism
e
m→
p (electrostatic dipole)
B→
E (electrostatic field)
We then obtain,
3
0
2
4
e
εx
=
π
p
E
which is precisely the field for an electric dipole at a point on its axis considered in Chapter 1, Section 1 10 [Eq (1 |
1 | 3993-3996 | considered in Chapter 1, Section 1 10 [Eq (1 20)] |
1 | 3994-3997 | 10 [Eq (1 20)] It can be shown that the above analogy can be carried further |
1 | 3995-3998 | (1 20)] It can be shown that the above analogy can be carried further We
had found in Chapter 1 that the electric field on the perpendicular bisector
of the dipole is given by [See Eq |
1 | 3996-3999 | 20)] It can be shown that the above analogy can be carried further We
had found in Chapter 1 that the electric field on the perpendicular bisector
of the dipole is given by [See Eq (1 |
1 | 3997-4000 | It can be shown that the above analogy can be carried further We
had found in Chapter 1 that the electric field on the perpendicular bisector
of the dipole is given by [See Eq (1 21)],
E ≃
pe
x
4
0
3
πε
where x is the distance from the dipole |
1 | 3998-4001 | We
had found in Chapter 1 that the electric field on the perpendicular bisector
of the dipole is given by [See Eq (1 21)],
E ≃
pe
x
4
0
3
πε
where x is the distance from the dipole If we replace p à m and
0
1/0
µ
ε
→
in the above expression, we obtain the result for B for a point in the
plane of the loop at a distance x from the centre |
1 | 3999-4002 | (1 21)],
E ≃
pe
x
4
0
3
πε
where x is the distance from the dipole If we replace p à m and
0
1/0
µ
ε
→
in the above expression, we obtain the result for B for a point in the
plane of the loop at a distance x from the centre For x >>R,
B
m
≃ µ0
4π x3
x
R
;
>>
[4 |
1 | 4000-4003 | 21)],
E ≃
pe
x
4
0
3
πε
where x is the distance from the dipole If we replace p à m and
0
1/0
µ
ε
→
in the above expression, we obtain the result for B for a point in the
plane of the loop at a distance x from the centre For x >>R,
B
m
≃ µ0
4π x3
x
R
;
>>
[4 31(b)]
The results given by Eqs |
1 | 4001-4004 | If we replace p à m and
0
1/0
µ
ε
→
in the above expression, we obtain the result for B for a point in the
plane of the loop at a distance x from the centre For x >>R,
B
m
≃ µ0
4π x3
x
R
;
>>
[4 31(b)]
The results given by Eqs [4 |
1 | 4002-4005 | For x >>R,
B
m
≃ µ0
4π x3
x
R
;
>>
[4 31(b)]
The results given by Eqs [4 31(a)] and [4 |
1 | 4003-4006 | 31(b)]
The results given by Eqs [4 31(a)] and [4 31(b)] become exact for a
point magnetic dipole |
1 | 4004-4007 | [4 31(a)] and [4 31(b)] become exact for a
point magnetic dipole The results obtained above can be shown to apply to any planar loop:
a planar current loop is equivalent to a magnetic dipole of dipole moment
m = I A, which is the analogue of electric dipole moment p |
1 | 4005-4008 | 31(a)] and [4 31(b)] become exact for a
point magnetic dipole The results obtained above can be shown to apply to any planar loop:
a planar current loop is equivalent to a magnetic dipole of dipole moment
m = I A, which is the analogue of electric dipole moment p Note, however,
a fundamental difference: an electric dipole is built up of two elementary
units — the charges (or electric monopoles) |
1 | 4006-4009 | 31(b)] become exact for a
point magnetic dipole The results obtained above can be shown to apply to any planar loop:
a planar current loop is equivalent to a magnetic dipole of dipole moment
m = I A, which is the analogue of electric dipole moment p Note, however,
a fundamental difference: an electric dipole is built up of two elementary
units — the charges (or electric monopoles) In magnetism, a magnetic
dipole (or a current loop) is the most elementary element |
1 | 4007-4010 | The results obtained above can be shown to apply to any planar loop:
a planar current loop is equivalent to a magnetic dipole of dipole moment
m = I A, which is the analogue of electric dipole moment p Note, however,
a fundamental difference: an electric dipole is built up of two elementary
units — the charges (or electric monopoles) In magnetism, a magnetic
dipole (or a current loop) is the most elementary element The equivalent
of electric charges, i |
1 | 4008-4011 | Note, however,
a fundamental difference: an electric dipole is built up of two elementary
units — the charges (or electric monopoles) In magnetism, a magnetic
dipole (or a current loop) is the most elementary element The equivalent
of electric charges, i e |
1 | 4009-4012 | In magnetism, a magnetic
dipole (or a current loop) is the most elementary element The equivalent
of electric charges, i e , magnetic monopoles, are not known to exist |
1 | 4010-4013 | The equivalent
of electric charges, i e , magnetic monopoles, are not known to exist We have shown that a current loop (i) produces a magnetic field and
behaves like a magnetic dipole at large distances, and
(ii) is subject to torque like a magnetic needle |
1 | 4011-4014 | e , magnetic monopoles, are not known to exist We have shown that a current loop (i) produces a magnetic field and
behaves like a magnetic dipole at large distances, and
(ii) is subject to torque like a magnetic needle This led Ampere to suggest
that all magnetism is due to circulating currents |
1 | 4012-4015 | , magnetic monopoles, are not known to exist We have shown that a current loop (i) produces a magnetic field and
behaves like a magnetic dipole at large distances, and
(ii) is subject to torque like a magnetic needle This led Ampere to suggest
that all magnetism is due to circulating currents This seems to be partly
true and no magnetic monopoles have been seen so far |
1 | 4013-4016 | We have shown that a current loop (i) produces a magnetic field and
behaves like a magnetic dipole at large distances, and
(ii) is subject to torque like a magnetic needle This led Ampere to suggest
that all magnetism is due to circulating currents This seems to be partly
true and no magnetic monopoles have been seen so far However,
elementary particles such as an electron or a proton also carry an intrinsic
magnetic moment, not accounted by circulating currents |
1 | 4014-4017 | This led Ampere to suggest
that all magnetism is due to circulating currents This seems to be partly
true and no magnetic monopoles have been seen so far However,
elementary particles such as an electron or a proton also carry an intrinsic
magnetic moment, not accounted by circulating currents 4 |
1 | 4015-4018 | This seems to be partly
true and no magnetic monopoles have been seen so far However,
elementary particles such as an electron or a proton also carry an intrinsic
magnetic moment, not accounted by circulating currents 4 10 THE MOVING COIL GALVANOMETER
Currents and voltages in circuits have been discussed extensively in
Chapters 3 |
1 | 4016-4019 | However,
elementary particles such as an electron or a proton also carry an intrinsic
magnetic moment, not accounted by circulating currents 4 10 THE MOVING COIL GALVANOMETER
Currents and voltages in circuits have been discussed extensively in
Chapters 3 But how do we measure them |
1 | 4017-4020 | 4 10 THE MOVING COIL GALVANOMETER
Currents and voltages in circuits have been discussed extensively in
Chapters 3 But how do we measure them How do we claim that
current in a circuit is 1 |
1 | 4018-4021 | 10 THE MOVING COIL GALVANOMETER
Currents and voltages in circuits have been discussed extensively in
Chapters 3 But how do we measure them How do we claim that
current in a circuit is 1 5 A or the voltage drop across a resistor is 1 |
1 | 4019-4022 | But how do we measure them How do we claim that
current in a circuit is 1 5 A or the voltage drop across a resistor is 1 2 V |
1 | 4020-4023 | How do we claim that
current in a circuit is 1 5 A or the voltage drop across a resistor is 1 2 V Figure 4 |
1 | 4021-4024 | 5 A or the voltage drop across a resistor is 1 2 V Figure 4 20 exhibits a very useful instrument for this purpose: the moving
coil galvanometer (MCG) |
1 | 4022-4025 | 2 V Figure 4 20 exhibits a very useful instrument for this purpose: the moving
coil galvanometer (MCG) It is a device whose principle can be understood
on the basis of our discussion in Section 4 |
1 | 4023-4026 | Figure 4 20 exhibits a very useful instrument for this purpose: the moving
coil galvanometer (MCG) It is a device whose principle can be understood
on the basis of our discussion in Section 4 10 |
1 | 4024-4027 | 20 exhibits a very useful instrument for this purpose: the moving
coil galvanometer (MCG) It is a device whose principle can be understood
on the basis of our discussion in Section 4 10 The galvanometer consists of a coil, with many turns, free to rotate
about a fixed axis (Fig |
1 | 4025-4028 | It is a device whose principle can be understood
on the basis of our discussion in Section 4 10 The galvanometer consists of a coil, with many turns, free to rotate
about a fixed axis (Fig 4 |
1 | 4026-4029 | 10 The galvanometer consists of a coil, with many turns, free to rotate
about a fixed axis (Fig 4 20), in a uniform radial magnetic field |
1 | 4027-4030 | The galvanometer consists of a coil, with many turns, free to rotate
about a fixed axis (Fig 4 20), in a uniform radial magnetic field There is
a cylindrical soft iron core which not only makes the field radial but also
increases the strength of the magnetic field |
1 | 4028-4031 | 4 20), in a uniform radial magnetic field There is
a cylindrical soft iron core which not only makes the field radial but also
increases the strength of the magnetic field When a current flows through
the coil, a torque acts on it |
1 | 4029-4032 | 20), in a uniform radial magnetic field There is
a cylindrical soft iron core which not only makes the field radial but also
increases the strength of the magnetic field When a current flows through
the coil, a torque acts on it This torque is given by Eq |
1 | 4030-4033 | There is
a cylindrical soft iron core which not only makes the field radial but also
increases the strength of the magnetic field When a current flows through
the coil, a torque acts on it This torque is given by Eq (4 |
1 | 4031-4034 | When a current flows through
the coil, a torque acts on it This torque is given by Eq (4 26) to be
t = NI AB
Rationalised 2023-24
Physics
130
where the symbols have their usual meaning |
1 | 4032-4035 | This torque is given by Eq (4 26) to be
t = NI AB
Rationalised 2023-24
Physics
130
where the symbols have their usual meaning Since
the field is radial by design, we have taken sin q = 1 in
the above expression for the torque |
1 | 4033-4036 | (4 26) to be
t = NI AB
Rationalised 2023-24
Physics
130
where the symbols have their usual meaning Since
the field is radial by design, we have taken sin q = 1 in
the above expression for the torque The magnetic
torque NIAB tends to rotate the coil |
1 | 4034-4037 | 26) to be
t = NI AB
Rationalised 2023-24
Physics
130
where the symbols have their usual meaning Since
the field is radial by design, we have taken sin q = 1 in
the above expression for the torque The magnetic
torque NIAB tends to rotate the coil A spring Sp
provides a counter torque kf that balances the
magnetic torque NIAB; resulting in a steady angular
deflection f |
1 | 4035-4038 | Since
the field is radial by design, we have taken sin q = 1 in
the above expression for the torque The magnetic
torque NIAB tends to rotate the coil A spring Sp
provides a counter torque kf that balances the
magnetic torque NIAB; resulting in a steady angular
deflection f In equilibrium
kf = NI AB
where k is the torsional constant of the spring; i |
1 | 4036-4039 | The magnetic
torque NIAB tends to rotate the coil A spring Sp
provides a counter torque kf that balances the
magnetic torque NIAB; resulting in a steady angular
deflection f In equilibrium
kf = NI AB
where k is the torsional constant of the spring; i e |
1 | 4037-4040 | A spring Sp
provides a counter torque kf that balances the
magnetic torque NIAB; resulting in a steady angular
deflection f In equilibrium
kf = NI AB
where k is the torsional constant of the spring; i e the
restoring torque per unit twist |
1 | 4038-4041 | In equilibrium
kf = NI AB
where k is the torsional constant of the spring; i e the
restoring torque per unit twist The deflection f is
indicated on the scale by a pointer attached to the
spring |
1 | 4039-4042 | e the
restoring torque per unit twist The deflection f is
indicated on the scale by a pointer attached to the
spring We have
φ =
NAB
k
I
(4 |
1 | 4040-4043 | the
restoring torque per unit twist The deflection f is
indicated on the scale by a pointer attached to the
spring We have
φ =
NAB
k
I
(4 38)
The quantity in brackets is a constant for a given
galvanometer |
1 | 4041-4044 | The deflection f is
indicated on the scale by a pointer attached to the
spring We have
φ =
NAB
k
I
(4 38)
The quantity in brackets is a constant for a given
galvanometer The galvanometer can be used in a number of ways |
1 | 4042-4045 | We have
φ =
NAB
k
I
(4 38)
The quantity in brackets is a constant for a given
galvanometer The galvanometer can be used in a number of ways It can be used as a detector to check if a current is
flowing in the circuit |
1 | 4043-4046 | 38)
The quantity in brackets is a constant for a given
galvanometer The galvanometer can be used in a number of ways It can be used as a detector to check if a current is
flowing in the circuit We have come across this usage
in the Wheatstone’s bridge arrangement |
1 | 4044-4047 | The galvanometer can be used in a number of ways It can be used as a detector to check if a current is
flowing in the circuit We have come across this usage
in the Wheatstone’s bridge arrangement In this usage
the neutral position of the pointer (when no current is
flowing through the galvanometer) is in the middle of
the scale and not at the left end as shown in Fig |
1 | 4045-4048 | It can be used as a detector to check if a current is
flowing in the circuit We have come across this usage
in the Wheatstone’s bridge arrangement In this usage
the neutral position of the pointer (when no current is
flowing through the galvanometer) is in the middle of
the scale and not at the left end as shown in Fig 4 |
1 | 4046-4049 | We have come across this usage
in the Wheatstone’s bridge arrangement In this usage
the neutral position of the pointer (when no current is
flowing through the galvanometer) is in the middle of
the scale and not at the left end as shown in Fig 4 20 |
1 | 4047-4050 | In this usage
the neutral position of the pointer (when no current is
flowing through the galvanometer) is in the middle of
the scale and not at the left end as shown in Fig 4 20 Depending on the direction of the current, the pointer’s
deflection is either to the right or the left |
1 | 4048-4051 | 4 20 Depending on the direction of the current, the pointer’s
deflection is either to the right or the left The galvanometer cannot as such be used as an
ammeter to measure the value of the current in a given circuit |
1 | 4049-4052 | 20 Depending on the direction of the current, the pointer’s
deflection is either to the right or the left The galvanometer cannot as such be used as an
ammeter to measure the value of the current in a given circuit This is for
two reasons: (i) Galvanometer is a very sensitive device, it gives a full-
scale deflection for a current of the order of mA |
1 | 4050-4053 | Depending on the direction of the current, the pointer’s
deflection is either to the right or the left The galvanometer cannot as such be used as an
ammeter to measure the value of the current in a given circuit This is for
two reasons: (i) Galvanometer is a very sensitive device, it gives a full-
scale deflection for a current of the order of mA (ii) For measuring currents,
the galvanometer has to be connected in series, and as it has a large
resistance, this will change the value of the current in the circuit |
1 | 4051-4054 | The galvanometer cannot as such be used as an
ammeter to measure the value of the current in a given circuit This is for
two reasons: (i) Galvanometer is a very sensitive device, it gives a full-
scale deflection for a current of the order of mA (ii) For measuring currents,
the galvanometer has to be connected in series, and as it has a large
resistance, this will change the value of the current in the circuit To
overcome these difficulties, one attaches a small resistance rs, called shunt
resistance, in parallel with the galvanometer coil; so that most of the
current passes through the shunt |
1 | 4052-4055 | This is for
two reasons: (i) Galvanometer is a very sensitive device, it gives a full-
scale deflection for a current of the order of mA (ii) For measuring currents,
the galvanometer has to be connected in series, and as it has a large
resistance, this will change the value of the current in the circuit To
overcome these difficulties, one attaches a small resistance rs, called shunt
resistance, in parallel with the galvanometer coil; so that most of the
current passes through the shunt The resistance of this arrangement is,
RG rs / (RG + rs) ≃ rs if RG >> rs
If rs has small value, in relation to the resistance of the rest of the
circuit Rc, the effect of introducing the measuring instrument is also small
and negligible |
1 | 4053-4056 | (ii) For measuring currents,
the galvanometer has to be connected in series, and as it has a large
resistance, this will change the value of the current in the circuit To
overcome these difficulties, one attaches a small resistance rs, called shunt
resistance, in parallel with the galvanometer coil; so that most of the
current passes through the shunt The resistance of this arrangement is,
RG rs / (RG + rs) ≃ rs if RG >> rs
If rs has small value, in relation to the resistance of the rest of the
circuit Rc, the effect of introducing the measuring instrument is also small
and negligible This arrangement is schematically shown in Fig |
1 | 4054-4057 | To
overcome these difficulties, one attaches a small resistance rs, called shunt
resistance, in parallel with the galvanometer coil; so that most of the
current passes through the shunt The resistance of this arrangement is,
RG rs / (RG + rs) ≃ rs if RG >> rs
If rs has small value, in relation to the resistance of the rest of the
circuit Rc, the effect of introducing the measuring instrument is also small
and negligible This arrangement is schematically shown in Fig 4 |
1 | 4055-4058 | The resistance of this arrangement is,
RG rs / (RG + rs) ≃ rs if RG >> rs
If rs has small value, in relation to the resistance of the rest of the
circuit Rc, the effect of introducing the measuring instrument is also small
and negligible This arrangement is schematically shown in Fig 4 21 |
1 | 4056-4059 | This arrangement is schematically shown in Fig 4 21 The scale of this ammeter is calibrated and then graduated to read off
the current value with ease |
1 | 4057-4060 | 4 21 The scale of this ammeter is calibrated and then graduated to read off
the current value with ease We define the current sensitivity of the
galvanometer as the deflection per unit current |
1 | 4058-4061 | 21 The scale of this ammeter is calibrated and then graduated to read off
the current value with ease We define the current sensitivity of the
galvanometer as the deflection per unit current From Eq |
1 | 4059-4062 | The scale of this ammeter is calibrated and then graduated to read off
the current value with ease We define the current sensitivity of the
galvanometer as the deflection per unit current From Eq (4 |
1 | 4060-4063 | We define the current sensitivity of the
galvanometer as the deflection per unit current From Eq (4 38) this
current sensitivity is,
NAB
I
k
φ =
(4 |
1 | 4061-4064 | From Eq (4 38) this
current sensitivity is,
NAB
I
k
φ =
(4 39)
A convenient way for the manufacturer to increase the sensitivity is
to increase the number of turns N |
1 | 4062-4065 | (4 38) this
current sensitivity is,
NAB
I
k
φ =
(4 39)
A convenient way for the manufacturer to increase the sensitivity is
to increase the number of turns N We choose galvanometers having
sensitivities of value, required by our experiment |
1 | 4063-4066 | 38) this
current sensitivity is,
NAB
I
k
φ =
(4 39)
A convenient way for the manufacturer to increase the sensitivity is
to increase the number of turns N We choose galvanometers having
sensitivities of value, required by our experiment FIGURE 4 |
1 | 4064-4067 | 39)
A convenient way for the manufacturer to increase the sensitivity is
to increase the number of turns N We choose galvanometers having
sensitivities of value, required by our experiment FIGURE 4 20 The moving coil
galvanometer |
1 | 4065-4068 | We choose galvanometers having
sensitivities of value, required by our experiment FIGURE 4 20 The moving coil
galvanometer Its elements are
described in the text |
1 | 4066-4069 | FIGURE 4 20 The moving coil
galvanometer Its elements are
described in the text Depending on
the requirement, this device can be
used as a current detector or for
measuring the value of the current
(ammeter) or voltage (voltmeter) |
1 | 4067-4070 | 20 The moving coil
galvanometer Its elements are
described in the text Depending on
the requirement, this device can be
used as a current detector or for
measuring the value of the current
(ammeter) or voltage (voltmeter) FIGURE 4 |
1 | 4068-4071 | Its elements are
described in the text Depending on
the requirement, this device can be
used as a current detector or for
measuring the value of the current
(ammeter) or voltage (voltmeter) FIGURE 4 21
Conversion of a
galvanometer (G) to
an ammeter by the
introduction of a
shunt resistance rs of
very small value in
parallel |
1 | 4069-4072 | Depending on
the requirement, this device can be
used as a current detector or for
measuring the value of the current
(ammeter) or voltage (voltmeter) FIGURE 4 21
Conversion of a
galvanometer (G) to
an ammeter by the
introduction of a
shunt resistance rs of
very small value in
parallel Rationalised 2023-24
131
Moving Charges and
Magnetism
The galvanometer can also be used as a voltmeter to measure the
voltage across a given section of the circuit |
1 | 4070-4073 | FIGURE 4 21
Conversion of a
galvanometer (G) to
an ammeter by the
introduction of a
shunt resistance rs of
very small value in
parallel Rationalised 2023-24
131
Moving Charges and
Magnetism
The galvanometer can also be used as a voltmeter to measure the
voltage across a given section of the circuit For this it must be connected
in parallel with that section of the circuit |
1 | 4071-4074 | 21
Conversion of a
galvanometer (G) to
an ammeter by the
introduction of a
shunt resistance rs of
very small value in
parallel Rationalised 2023-24
131
Moving Charges and
Magnetism
The galvanometer can also be used as a voltmeter to measure the
voltage across a given section of the circuit For this it must be connected
in parallel with that section of the circuit Further, it must draw a very
small current, otherwise the voltage measurement will disturb the original
set up by an amount which is very large |
1 | 4072-4075 | Rationalised 2023-24
131
Moving Charges and
Magnetism
The galvanometer can also be used as a voltmeter to measure the
voltage across a given section of the circuit For this it must be connected
in parallel with that section of the circuit Further, it must draw a very
small current, otherwise the voltage measurement will disturb the original
set up by an amount which is very large Usually we like to keep the
disturbance due to the measuring device below one per cent |
1 | 4073-4076 | For this it must be connected
in parallel with that section of the circuit Further, it must draw a very
small current, otherwise the voltage measurement will disturb the original
set up by an amount which is very large Usually we like to keep the
disturbance due to the measuring device below one per cent To ensure
this, a large resistance R is connected in series with the galvanometer |
1 | 4074-4077 | Further, it must draw a very
small current, otherwise the voltage measurement will disturb the original
set up by an amount which is very large Usually we like to keep the
disturbance due to the measuring device below one per cent To ensure
this, a large resistance R is connected in series with the galvanometer This arrangement is schematically depicted in Fig |
1 | 4075-4078 | Usually we like to keep the
disturbance due to the measuring device below one per cent To ensure
this, a large resistance R is connected in series with the galvanometer This arrangement is schematically depicted in Fig 4 |
1 | 4076-4079 | To ensure
this, a large resistance R is connected in series with the galvanometer This arrangement is schematically depicted in Fig 4 22 |
1 | 4077-4080 | This arrangement is schematically depicted in Fig 4 22 Note that the
resistance of the voltmeter is now,
RG + R ≃ R : large
The scale of the voltmeter is calibrated to read off the voltage value
with ease |
1 | 4078-4081 | 4 22 Note that the
resistance of the voltmeter is now,
RG + R ≃ R : large
The scale of the voltmeter is calibrated to read off the voltage value
with ease We define the voltage sensitivity as the deflection per unit
voltage |
1 | 4079-4082 | 22 Note that the
resistance of the voltmeter is now,
RG + R ≃ R : large
The scale of the voltmeter is calibrated to read off the voltage value
with ease We define the voltage sensitivity as the deflection per unit
voltage From Eq |
1 | 4080-4083 | Note that the
resistance of the voltmeter is now,
RG + R ≃ R : large
The scale of the voltmeter is calibrated to read off the voltage value
with ease We define the voltage sensitivity as the deflection per unit
voltage From Eq (4 |
1 | 4081-4084 | We define the voltage sensitivity as the deflection per unit
voltage From Eq (4 38),
Vφ
NAB
k
VI
NAB
k
R
=
=
1
(4 |
1 | 4082-4085 | From Eq (4 38),
Vφ
NAB
k
VI
NAB
k
R
=
=
1
(4 40)
An interesting point to note is that increasing the current sensitivity
may not necessarily increase the voltage sensitivity |
1 | 4083-4086 | (4 38),
Vφ
NAB
k
VI
NAB
k
R
=
=
1
(4 40)
An interesting point to note is that increasing the current sensitivity
may not necessarily increase the voltage sensitivity Let us take Eq |
1 | 4084-4087 | 38),
Vφ
NAB
k
VI
NAB
k
R
=
=
1
(4 40)
An interesting point to note is that increasing the current sensitivity
may not necessarily increase the voltage sensitivity Let us take Eq (4 |
1 | 4085-4088 | 40)
An interesting point to note is that increasing the current sensitivity
may not necessarily increase the voltage sensitivity Let us take Eq (4 39)
which provides a measure of current sensitivity |
1 | 4086-4089 | Let us take Eq (4 39)
which provides a measure of current sensitivity If N ® 2N, i |
1 | 4087-4090 | (4 39)
which provides a measure of current sensitivity If N ® 2N, i e |
1 | 4088-4091 | 39)
which provides a measure of current sensitivity If N ® 2N, i e , we double
the number of turns, then
2
I
I
φ
φ
→
Thus, the current sensitivity doubles |
1 | 4089-4092 | If N ® 2N, i e , we double
the number of turns, then
2
I
I
φ
φ
→
Thus, the current sensitivity doubles However, the resistance of the
galvanometer is also likely to double, since it is proportional to the length
of the wire |
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