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1 | 4390-4393 | 5)
Rationalised 2023-24
141
Magnetism and
Matter
Equation (5 8) is just Eq (5 2) in the vector form |
1 | 4391-4394 | 8) is just Eq (5 2) in the vector form Table 5 |
1 | 4392-4395 | (5 2) in the vector form Table 5 1 summarises
the analogy between electric and magnetic dipoles |
1 | 4393-4396 | 2) in the vector form Table 5 1 summarises
the analogy between electric and magnetic dipoles Electrostatics
Magnetism
1/e0
m0
Dipole moment
p
m
Equatorial Field for a short dipole
–p/4pe0r 3
– m0 m / 4p r 3
Axial Field for a short dipole
2p/4pe0r 3
m0 2m / 4p r 3
External Field: torque
p × E
m × B
External Field: Energy
–p |
1 | 4394-4397 | Table 5 1 summarises
the analogy between electric and magnetic dipoles Electrostatics
Magnetism
1/e0
m0
Dipole moment
p
m
Equatorial Field for a short dipole
–p/4pe0r 3
– m0 m / 4p r 3
Axial Field for a short dipole
2p/4pe0r 3
m0 2m / 4p r 3
External Field: torque
p × E
m × B
External Field: Energy
–p E
–m |
1 | 4395-4398 | 1 summarises
the analogy between electric and magnetic dipoles Electrostatics
Magnetism
1/e0
m0
Dipole moment
p
m
Equatorial Field for a short dipole
–p/4pe0r 3
– m0 m / 4p r 3
Axial Field for a short dipole
2p/4pe0r 3
m0 2m / 4p r 3
External Field: torque
p × E
m × B
External Field: Energy
–p E
–m B
TABLE 5 |
1 | 4396-4399 | Electrostatics
Magnetism
1/e0
m0
Dipole moment
p
m
Equatorial Field for a short dipole
–p/4pe0r 3
– m0 m / 4p r 3
Axial Field for a short dipole
2p/4pe0r 3
m0 2m / 4p r 3
External Field: torque
p × E
m × B
External Field: Energy
–p E
–m B
TABLE 5 1 THE DIPOLE ANALOGY
EXAMPLE 5 |
1 | 4397-4400 | E
–m B
TABLE 5 1 THE DIPOLE ANALOGY
EXAMPLE 5 2
Example 5 |
1 | 4398-4401 | B
TABLE 5 1 THE DIPOLE ANALOGY
EXAMPLE 5 2
Example 5 2 Figure 5 |
1 | 4399-4402 | 1 THE DIPOLE ANALOGY
EXAMPLE 5 2
Example 5 2 Figure 5 4 shows a small magnetised needle P placed at
a point O |
1 | 4400-4403 | 2
Example 5 2 Figure 5 4 shows a small magnetised needle P placed at
a point O The arrow shows the direction of its magnetic moment |
1 | 4401-4404 | 2 Figure 5 4 shows a small magnetised needle P placed at
a point O The arrow shows the direction of its magnetic moment The
other arrows show different positions (and orientations of the magnetic
moment) of another identical magnetised needle Q |
1 | 4402-4405 | 4 shows a small magnetised needle P placed at
a point O The arrow shows the direction of its magnetic moment The
other arrows show different positions (and orientations of the magnetic
moment) of another identical magnetised needle Q (a) In which configuration the system is not in equilibrium |
1 | 4403-4406 | The arrow shows the direction of its magnetic moment The
other arrows show different positions (and orientations of the magnetic
moment) of another identical magnetised needle Q (a) In which configuration the system is not in equilibrium (b) In which configuration is the system in (i) stable, and (ii) unstable
equilibrium |
1 | 4404-4407 | The
other arrows show different positions (and orientations of the magnetic
moment) of another identical magnetised needle Q (a) In which configuration the system is not in equilibrium (b) In which configuration is the system in (i) stable, and (ii) unstable
equilibrium (c) Which configuration corresponds to the lowest potential energy
among all the configurations shown |
1 | 4405-4408 | (a) In which configuration the system is not in equilibrium (b) In which configuration is the system in (i) stable, and (ii) unstable
equilibrium (c) Which configuration corresponds to the lowest potential energy
among all the configurations shown FIGURE 5 |
1 | 4406-4409 | (b) In which configuration is the system in (i) stable, and (ii) unstable
equilibrium (c) Which configuration corresponds to the lowest potential energy
among all the configurations shown FIGURE 5 4
Solution
Potential energy of the configuration arises due to the potential energy of
one dipole (say, Q) in the magnetic field due to other (P) |
1 | 4407-4410 | (c) Which configuration corresponds to the lowest potential energy
among all the configurations shown FIGURE 5 4
Solution
Potential energy of the configuration arises due to the potential energy of
one dipole (say, Q) in the magnetic field due to other (P) Use the result
that the field due to P is given by the expression [Eqs |
1 | 4408-4411 | FIGURE 5 4
Solution
Potential energy of the configuration arises due to the potential energy of
one dipole (say, Q) in the magnetic field due to other (P) Use the result
that the field due to P is given by the expression [Eqs (5 |
1 | 4409-4412 | 4
Solution
Potential energy of the configuration arises due to the potential energy of
one dipole (say, Q) in the magnetic field due to other (P) Use the result
that the field due to P is given by the expression [Eqs (5 7) and (5 |
1 | 4410-4413 | Use the result
that the field due to P is given by the expression [Eqs (5 7) and (5 8)]:
0
P
P
3
4
r
µ
π
= −
m
B
(on the normal bisector)
0
P
P
3
42
r
µ
π
=
m
B
(on the axis)
where mP is the magnetic moment of the dipole P |
1 | 4411-4414 | (5 7) and (5 8)]:
0
P
P
3
4
r
µ
π
= −
m
B
(on the normal bisector)
0
P
P
3
42
r
µ
π
=
m
B
(on the axis)
where mP is the magnetic moment of the dipole P Equilibrium is stable when mQ is parallel to BP, and unstable when it
is anti-parallel to BP |
1 | 4412-4415 | 7) and (5 8)]:
0
P
P
3
4
r
µ
π
= −
m
B
(on the normal bisector)
0
P
P
3
42
r
µ
π
=
m
B
(on the axis)
where mP is the magnetic moment of the dipole P Equilibrium is stable when mQ is parallel to BP, and unstable when it
is anti-parallel to BP Rationalised 2023-24
Physics
142
KARL FRIEDRICH GAUSS (1777 – 1855)
Karl Friedrich Gauss
(1777 – 1855) He was a
child prodigy and was gifted
in mathematics, physics,
engineering, astronomy
and even land surveying |
1 | 4413-4416 | 8)]:
0
P
P
3
4
r
µ
π
= −
m
B
(on the normal bisector)
0
P
P
3
42
r
µ
π
=
m
B
(on the axis)
where mP is the magnetic moment of the dipole P Equilibrium is stable when mQ is parallel to BP, and unstable when it
is anti-parallel to BP Rationalised 2023-24
Physics
142
KARL FRIEDRICH GAUSS (1777 – 1855)
Karl Friedrich Gauss
(1777 – 1855) He was a
child prodigy and was gifted
in mathematics, physics,
engineering, astronomy
and even land surveying The properties of numbers
fascinated him, and in his
work he anticipated major
mathematical development
of later times |
1 | 4414-4417 | Equilibrium is stable when mQ is parallel to BP, and unstable when it
is anti-parallel to BP Rationalised 2023-24
Physics
142
KARL FRIEDRICH GAUSS (1777 – 1855)
Karl Friedrich Gauss
(1777 – 1855) He was a
child prodigy and was gifted
in mathematics, physics,
engineering, astronomy
and even land surveying The properties of numbers
fascinated him, and in his
work he anticipated major
mathematical development
of later times Along with
Wilhelm Welser, he built the
first electric telegraph in
1833 |
1 | 4415-4418 | Rationalised 2023-24
Physics
142
KARL FRIEDRICH GAUSS (1777 – 1855)
Karl Friedrich Gauss
(1777 – 1855) He was a
child prodigy and was gifted
in mathematics, physics,
engineering, astronomy
and even land surveying The properties of numbers
fascinated him, and in his
work he anticipated major
mathematical development
of later times Along with
Wilhelm Welser, he built the
first electric telegraph in
1833 His mathematical
theory of curved surface
laid the foundation for the
later work of Riemann |
1 | 4416-4419 | The properties of numbers
fascinated him, and in his
work he anticipated major
mathematical development
of later times Along with
Wilhelm Welser, he built the
first electric telegraph in
1833 His mathematical
theory of curved surface
laid the foundation for the
later work of Riemann For instance for the configuration Q3 for which Q is along the
perpendicular bisector of the dipole P, the magnetic moment of Q is
parallel to the magnetic field at the position 3 |
1 | 4417-4420 | Along with
Wilhelm Welser, he built the
first electric telegraph in
1833 His mathematical
theory of curved surface
laid the foundation for the
later work of Riemann For instance for the configuration Q3 for which Q is along the
perpendicular bisector of the dipole P, the magnetic moment of Q is
parallel to the magnetic field at the position 3 Hence Q3 is stable |
1 | 4418-4421 | His mathematical
theory of curved surface
laid the foundation for the
later work of Riemann For instance for the configuration Q3 for which Q is along the
perpendicular bisector of the dipole P, the magnetic moment of Q is
parallel to the magnetic field at the position 3 Hence Q3 is stable Thus,
(a) PQ1 and PQ2
(b) (i) PQ3, PQ6 (stable); (ii) PQ5, PQ4 (unstable)
(c) PQ6
5 |
1 | 4419-4422 | For instance for the configuration Q3 for which Q is along the
perpendicular bisector of the dipole P, the magnetic moment of Q is
parallel to the magnetic field at the position 3 Hence Q3 is stable Thus,
(a) PQ1 and PQ2
(b) (i) PQ3, PQ6 (stable); (ii) PQ5, PQ4 (unstable)
(c) PQ6
5 3 MAGNETISM AND GAUSS’S LAW
In Chapter 1, we studied Gauss’s law for electrostatics |
1 | 4420-4423 | Hence Q3 is stable Thus,
(a) PQ1 and PQ2
(b) (i) PQ3, PQ6 (stable); (ii) PQ5, PQ4 (unstable)
(c) PQ6
5 3 MAGNETISM AND GAUSS’S LAW
In Chapter 1, we studied Gauss’s law for electrostatics In Fig 5 |
1 | 4421-4424 | Thus,
(a) PQ1 and PQ2
(b) (i) PQ3, PQ6 (stable); (ii) PQ5, PQ4 (unstable)
(c) PQ6
5 3 MAGNETISM AND GAUSS’S LAW
In Chapter 1, we studied Gauss’s law for electrostatics In Fig 5 3(c), we see that for a closed surface represented
by i , the number of lines leaving the surface is equal to
the number of lines entering it |
1 | 4422-4425 | 3 MAGNETISM AND GAUSS’S LAW
In Chapter 1, we studied Gauss’s law for electrostatics In Fig 5 3(c), we see that for a closed surface represented
by i , the number of lines leaving the surface is equal to
the number of lines entering it This is consistent with the
fact that no net charge is enclosed by the surface |
1 | 4423-4426 | In Fig 5 3(c), we see that for a closed surface represented
by i , the number of lines leaving the surface is equal to
the number of lines entering it This is consistent with the
fact that no net charge is enclosed by the surface However,
in the same figure, for the closed surface ii , there is a net
outward flux, since it does include a net (positive) charge |
1 | 4424-4427 | 3(c), we see that for a closed surface represented
by i , the number of lines leaving the surface is equal to
the number of lines entering it This is consistent with the
fact that no net charge is enclosed by the surface However,
in the same figure, for the closed surface ii , there is a net
outward flux, since it does include a net (positive) charge The situation is radically different for magnetic fields
which are continuous and form closed loops |
1 | 4425-4428 | This is consistent with the
fact that no net charge is enclosed by the surface However,
in the same figure, for the closed surface ii , there is a net
outward flux, since it does include a net (positive) charge The situation is radically different for magnetic fields
which are continuous and form closed loops Examine the
Gaussian surfaces represented by i or ii in Fig 5 |
1 | 4426-4429 | However,
in the same figure, for the closed surface ii , there is a net
outward flux, since it does include a net (positive) charge The situation is radically different for magnetic fields
which are continuous and form closed loops Examine the
Gaussian surfaces represented by i or ii in Fig 5 3(a) or
Fig |
1 | 4427-4430 | The situation is radically different for magnetic fields
which are continuous and form closed loops Examine the
Gaussian surfaces represented by i or ii in Fig 5 3(a) or
Fig 5 |
1 | 4428-4431 | Examine the
Gaussian surfaces represented by i or ii in Fig 5 3(a) or
Fig 5 3(b) |
1 | 4429-4432 | 3(a) or
Fig 5 3(b) Both cases visually demonstrate that the
number of magnetic field lines leaving the surface is
balanced by the number of lines entering it |
1 | 4430-4433 | 5 3(b) Both cases visually demonstrate that the
number of magnetic field lines leaving the surface is
balanced by the number of lines entering it The net
magnetic flux is zero for both the surfaces |
1 | 4431-4434 | 3(b) Both cases visually demonstrate that the
number of magnetic field lines leaving the surface is
balanced by the number of lines entering it The net
magnetic flux is zero for both the surfaces This is true
for any closed surface |
1 | 4432-4435 | Both cases visually demonstrate that the
number of magnetic field lines leaving the surface is
balanced by the number of lines entering it The net
magnetic flux is zero for both the surfaces This is true
for any closed surface FIGURE 5 |
1 | 4433-4436 | The net
magnetic flux is zero for both the surfaces This is true
for any closed surface FIGURE 5 5
Consider a small vector area element DS of a closed surface S as in
Fig |
1 | 4434-4437 | This is true
for any closed surface FIGURE 5 5
Consider a small vector area element DS of a closed surface S as in
Fig 5 |
1 | 4435-4438 | FIGURE 5 5
Consider a small vector area element DS of a closed surface S as in
Fig 5 5 |
1 | 4436-4439 | 5
Consider a small vector area element DS of a closed surface S as in
Fig 5 5 The magnetic flux through ÄS is defined as DfB = B |
1 | 4437-4440 | 5 5 The magnetic flux through ÄS is defined as DfB = B DS, where B
is the field at DS |
1 | 4438-4441 | 5 The magnetic flux through ÄS is defined as DfB = B DS, where B
is the field at DS We divide S into many small area elements and calculate
the individual flux through each |
1 | 4439-4442 | The magnetic flux through ÄS is defined as DfB = B DS, where B
is the field at DS We divide S into many small area elements and calculate
the individual flux through each Then, the net flux fB is,
φ
φ
B
B
all
all
=
=
=
∑
∑
∆
∆
’
’
’
’
B |
1 | 4440-4443 | DS, where B
is the field at DS We divide S into many small area elements and calculate
the individual flux through each Then, the net flux fB is,
φ
φ
B
B
all
all
=
=
=
∑
∑
∆
∆
’
’
’
’
B S
0
(5 |
1 | 4441-4444 | We divide S into many small area elements and calculate
the individual flux through each Then, the net flux fB is,
φ
φ
B
B
all
all
=
=
=
∑
∑
∆
∆
’
’
’
’
B S
0
(5 6)
where ‘all’ stands for ‘all area elements DS¢ |
1 | 4442-4445 | Then, the net flux fB is,
φ
φ
B
B
all
all
=
=
=
∑
∑
∆
∆
’
’
’
’
B S
0
(5 6)
where ‘all’ stands for ‘all area elements DS¢ Compare this with the Gauss’s
law of electrostatics |
1 | 4443-4446 | S
0
(5 6)
where ‘all’ stands for ‘all area elements DS¢ Compare this with the Gauss’s
law of electrostatics The flux through a closed surface in that case is
given by
E |
1 | 4444-4447 | 6)
where ‘all’ stands for ‘all area elements DS¢ Compare this with the Gauss’s
law of electrostatics The flux through a closed surface in that case is
given by
E ∆S
=
∑
q
ε0
EXAMPLE 5 |
1 | 4445-4448 | Compare this with the Gauss’s
law of electrostatics The flux through a closed surface in that case is
given by
E ∆S
=
∑
q
ε0
EXAMPLE 5 2
Rationalised 2023-24
143
Magnetism and
Matter
where q is the electric charge enclosed by the surface |
1 | 4446-4449 | The flux through a closed surface in that case is
given by
E ∆S
=
∑
q
ε0
EXAMPLE 5 2
Rationalised 2023-24
143
Magnetism and
Matter
where q is the electric charge enclosed by the surface The difference between the Gauss’s law of magnetism and that for
electrostatics is a reflection of the fact that isolated magnetic poles (also
called monopoles) are not known to exist |
1 | 4447-4450 | ∆S
=
∑
q
ε0
EXAMPLE 5 2
Rationalised 2023-24
143
Magnetism and
Matter
where q is the electric charge enclosed by the surface The difference between the Gauss’s law of magnetism and that for
electrostatics is a reflection of the fact that isolated magnetic poles (also
called monopoles) are not known to exist There are no sources or sinks
of B; the simplest magnetic element is a dipole or a current loop |
1 | 4448-4451 | 2
Rationalised 2023-24
143
Magnetism and
Matter
where q is the electric charge enclosed by the surface The difference between the Gauss’s law of magnetism and that for
electrostatics is a reflection of the fact that isolated magnetic poles (also
called monopoles) are not known to exist There are no sources or sinks
of B; the simplest magnetic element is a dipole or a current loop All
magnetic phenomena can be explained in terms of an arrangement of
dipoles and/or current loops |
1 | 4449-4452 | The difference between the Gauss’s law of magnetism and that for
electrostatics is a reflection of the fact that isolated magnetic poles (also
called monopoles) are not known to exist There are no sources or sinks
of B; the simplest magnetic element is a dipole or a current loop All
magnetic phenomena can be explained in terms of an arrangement of
dipoles and/or current loops Thus, Gauss’s law for magnetism is:
The net magnetic flux through any closed surface is zero |
1 | 4450-4453 | There are no sources or sinks
of B; the simplest magnetic element is a dipole or a current loop All
magnetic phenomena can be explained in terms of an arrangement of
dipoles and/or current loops Thus, Gauss’s law for magnetism is:
The net magnetic flux through any closed surface is zero Example 5 |
1 | 4451-4454 | All
magnetic phenomena can be explained in terms of an arrangement of
dipoles and/or current loops Thus, Gauss’s law for magnetism is:
The net magnetic flux through any closed surface is zero Example 5 3 Many of the diagrams given in Fig |
1 | 4452-4455 | Thus, Gauss’s law for magnetism is:
The net magnetic flux through any closed surface is zero Example 5 3 Many of the diagrams given in Fig 5 |
1 | 4453-4456 | Example 5 3 Many of the diagrams given in Fig 5 7 show magnetic
field lines (thick lines in the figure) wrongly |
1 | 4454-4457 | 3 Many of the diagrams given in Fig 5 7 show magnetic
field lines (thick lines in the figure) wrongly Point out what is wrong
with them |
1 | 4455-4458 | 5 7 show magnetic
field lines (thick lines in the figure) wrongly Point out what is wrong
with them Some of them may describe electrostatic field lines correctly |
1 | 4456-4459 | 7 show magnetic
field lines (thick lines in the figure) wrongly Point out what is wrong
with them Some of them may describe electrostatic field lines correctly Point out which ones |
1 | 4457-4460 | Point out what is wrong
with them Some of them may describe electrostatic field lines correctly Point out which ones FIGURE 5 |
1 | 4458-4461 | Some of them may describe electrostatic field lines correctly Point out which ones FIGURE 5 6
EXAMPLE 5 |
1 | 4459-4462 | Point out which ones FIGURE 5 6
EXAMPLE 5 3
Rationalised 2023-24
Physics
144
EXAMPLE 5 |
1 | 4460-4463 | FIGURE 5 6
EXAMPLE 5 3
Rationalised 2023-24
Physics
144
EXAMPLE 5 4
EXAMPLE 5 |
1 | 4461-4464 | 6
EXAMPLE 5 3
Rationalised 2023-24
Physics
144
EXAMPLE 5 4
EXAMPLE 5 3
Solution
(a) Wrong |
1 | 4462-4465 | 3
Rationalised 2023-24
Physics
144
EXAMPLE 5 4
EXAMPLE 5 3
Solution
(a) Wrong Magnetic field lines can never emanate from a point, as
shown in figure |
1 | 4463-4466 | 4
EXAMPLE 5 3
Solution
(a) Wrong Magnetic field lines can never emanate from a point, as
shown in figure Over any closed surface, the net flux of B must
always be zero, i |
1 | 4464-4467 | 3
Solution
(a) Wrong Magnetic field lines can never emanate from a point, as
shown in figure Over any closed surface, the net flux of B must
always be zero, i e |
1 | 4465-4468 | Magnetic field lines can never emanate from a point, as
shown in figure Over any closed surface, the net flux of B must
always be zero, i e , pictorially as many field lines should seem to
enter the surface as the number of lines leaving it |
1 | 4466-4469 | Over any closed surface, the net flux of B must
always be zero, i e , pictorially as many field lines should seem to
enter the surface as the number of lines leaving it The field lines
shown, in fact, represent electric field of a long positively charged
wire |
1 | 4467-4470 | e , pictorially as many field lines should seem to
enter the surface as the number of lines leaving it The field lines
shown, in fact, represent electric field of a long positively charged
wire The correct magnetic field lines are circling the straight
conductor, as described in Chapter 4 |
1 | 4468-4471 | , pictorially as many field lines should seem to
enter the surface as the number of lines leaving it The field lines
shown, in fact, represent electric field of a long positively charged
wire The correct magnetic field lines are circling the straight
conductor, as described in Chapter 4 (b) Wrong |
1 | 4469-4472 | The field lines
shown, in fact, represent electric field of a long positively charged
wire The correct magnetic field lines are circling the straight
conductor, as described in Chapter 4 (b) Wrong Magnetic field lines (like electric field lines) can never cross
each other, because otherwise the direction of field at the point of
intersection is ambiguous |
1 | 4470-4473 | The correct magnetic field lines are circling the straight
conductor, as described in Chapter 4 (b) Wrong Magnetic field lines (like electric field lines) can never cross
each other, because otherwise the direction of field at the point of
intersection is ambiguous There is further error in the figure |
1 | 4471-4474 | (b) Wrong Magnetic field lines (like electric field lines) can never cross
each other, because otherwise the direction of field at the point of
intersection is ambiguous There is further error in the figure Magnetostatic field lines can never form closed loops around empty
space |
1 | 4472-4475 | Magnetic field lines (like electric field lines) can never cross
each other, because otherwise the direction of field at the point of
intersection is ambiguous There is further error in the figure Magnetostatic field lines can never form closed loops around empty
space A closed loop of static magnetic field line must enclose a
region across which a current is passing |
1 | 4473-4476 | There is further error in the figure Magnetostatic field lines can never form closed loops around empty
space A closed loop of static magnetic field line must enclose a
region across which a current is passing By contrast, electrostatic
field lines can never form closed loops, neither in empty space,
nor when the loop encloses charges |
1 | 4474-4477 | Magnetostatic field lines can never form closed loops around empty
space A closed loop of static magnetic field line must enclose a
region across which a current is passing By contrast, electrostatic
field lines can never form closed loops, neither in empty space,
nor when the loop encloses charges (c) Right |
1 | 4475-4478 | A closed loop of static magnetic field line must enclose a
region across which a current is passing By contrast, electrostatic
field lines can never form closed loops, neither in empty space,
nor when the loop encloses charges (c) Right Magnetic lines are completely confined within a toroid |
1 | 4476-4479 | By contrast, electrostatic
field lines can never form closed loops, neither in empty space,
nor when the loop encloses charges (c) Right Magnetic lines are completely confined within a toroid Nothing wrong here in field lines forming closed loops, since each
loop encloses a region across which a current passes |
1 | 4477-4480 | (c) Right Magnetic lines are completely confined within a toroid Nothing wrong here in field lines forming closed loops, since each
loop encloses a region across which a current passes Note, for
clarity of figure, only a few field lines within the toroid have been
shown |
1 | 4478-4481 | Magnetic lines are completely confined within a toroid Nothing wrong here in field lines forming closed loops, since each
loop encloses a region across which a current passes Note, for
clarity of figure, only a few field lines within the toroid have been
shown Actually, the entire region enclosed by the windings
contains magnetic field |
1 | 4479-4482 | Nothing wrong here in field lines forming closed loops, since each
loop encloses a region across which a current passes Note, for
clarity of figure, only a few field lines within the toroid have been
shown Actually, the entire region enclosed by the windings
contains magnetic field (d) Wrong |
1 | 4480-4483 | Note, for
clarity of figure, only a few field lines within the toroid have been
shown Actually, the entire region enclosed by the windings
contains magnetic field (d) Wrong Field lines due to a solenoid at its ends and outside cannot
be so completely straight and confined; such a thing violates
Ampere’s law |
1 | 4481-4484 | Actually, the entire region enclosed by the windings
contains magnetic field (d) Wrong Field lines due to a solenoid at its ends and outside cannot
be so completely straight and confined; such a thing violates
Ampere’s law The lines should curve out at both ends, and meet
eventually to form closed loops |
1 | 4482-4485 | (d) Wrong Field lines due to a solenoid at its ends and outside cannot
be so completely straight and confined; such a thing violates
Ampere’s law The lines should curve out at both ends, and meet
eventually to form closed loops (e) Right |
1 | 4483-4486 | Field lines due to a solenoid at its ends and outside cannot
be so completely straight and confined; such a thing violates
Ampere’s law The lines should curve out at both ends, and meet
eventually to form closed loops (e) Right These are field lines outside and inside a bar magnet |
1 | 4484-4487 | The lines should curve out at both ends, and meet
eventually to form closed loops (e) Right These are field lines outside and inside a bar magnet Note
carefully the direction of field lines inside |
1 | 4485-4488 | (e) Right These are field lines outside and inside a bar magnet Note
carefully the direction of field lines inside Not all field lines emanate
out of a north pole (or converge into a south pole) |
1 | 4486-4489 | These are field lines outside and inside a bar magnet Note
carefully the direction of field lines inside Not all field lines emanate
out of a north pole (or converge into a south pole) Around both
the N-pole, and the S-pole, the net flux of the field is zero |
1 | 4487-4490 | Note
carefully the direction of field lines inside Not all field lines emanate
out of a north pole (or converge into a south pole) Around both
the N-pole, and the S-pole, the net flux of the field is zero (f ) Wrong |
1 | 4488-4491 | Not all field lines emanate
out of a north pole (or converge into a south pole) Around both
the N-pole, and the S-pole, the net flux of the field is zero (f ) Wrong These field lines cannot possibly represent a magnetic field |
1 | 4489-4492 | Around both
the N-pole, and the S-pole, the net flux of the field is zero (f ) Wrong These field lines cannot possibly represent a magnetic field Look at the upper region |
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