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JEE Main Physics Class 12 Moving Charges and Magnetism Part 1 Questions
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© examsnet.com
Question : 39
Total: 100
Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed 'v' in a uniform magnetic field B going into the plane of the paper (See figure). If charge densities
σ
1
and
σ
2
are induced on the left and right surfaces, respectively, of the sheet then (ignore fringe effects):
[Online April 10, 2016]
σ
1
=
−
∈
0
v
B
2
,
σ
2
=
∈
0
v
B
2
σ
1
=
∈
0
v
B
,
σ
2
=
−
∈
0
v
B
σ
1
=
∈
0
v
B
2
,
σ
2
=
−
∈
0
v
B
2
σ
1
=
σ
2
=
∈
0
vB
Validate
Solution:
∵
F
=
q
E
and
F
=
q
v
B
∴
E
=
v
B
And Gauss's law in Electrostatics
E
=
σ
ε
0
E
=
σ
ε
0
=
v
B
⇒
σ
=
ε
0
v
B
σ
1
=
−
σ
2
© examsnet.com
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