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Physics
Physics
Problem
Three concentric metal shells A, B and C of respective radii
a
,
b
a, b
a
,
b
and
c
c
c
(
a
<
b
<
c
a < b < c
a
<
b
<
c
) have surface charge densities
+
σ
,
−
σ
+\sigma, -\sigma
+
σ
,
−
σ
and
+
σ
+\sigma
+
σ
respectively. The potential of shell B is: a.
σ
ϵ
0
[
a
2
−
b
2
a
+
c
]
\frac{\sigma}{\epsilon_0} \left[ \frac{a^2 - b^2}{a} + c \right]
ϵ
0
σ
[
a
a
2
−
b
2
+
c
]
b.
σ
ϵ
0
[
a
2
−
b
2
b
+
c
]
\frac{\sigma}{\epsilon_0} \left[ \frac{a^2 - b^2}{b} + c \right]
ϵ
0
σ
[
b
a
2
−
b
2
+
c
]
c.
σ
ϵ
0
[
b
2
−
c
2
b
+
a
]
\frac{\sigma}{\epsilon_0} \left[ \frac{b^2 - c^2}{b} + a \right]
ϵ
0
σ
[
b
b
2
−
c
2
+
a
]
d.
σ
ϵ
0
[
b
2
−
c
2
c
+
a
]
\frac{\sigma}{\epsilon_0} \left[ \frac{b^2 - c^2}{c} + a \right]
ϵ
0
σ
[
c
b
2
−
c
2
+
a
]
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