Consider a thick conducting shell of outer radius 2 R and inner radius R as shown in figure- Shell is neutral and a point charge Q is kept at O- Point A and C distance and R -0 from O -O is center- Then choose correct options-B- Potential at A changes if charge is shifted to B from O- C- Potential at C is 3-2 KQ - RD- Potential at C changes if charge is shifted to B from O-

The correct options are A Potential at A is KQ/2R C Potential at C is 3/2KQ/R D Potential at C changes if charge is shifted to B from O.V_A=KQ/3R/2 KQ/3R/2+KQ/2 ...

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Byju's Answer

Standard XII

Physics

Charges on Conductors

Consider a th...

Question

Consider a thick conducting shell of outer radius 2R and inner radius R as shown in figure. Shell is neutral and a point charge Q is kept at O. Point A and C are at distance $\frac{3}{2} R$ and $\frac{R}{2}$ from O [O is center]. Then choose correct options.

Potential at A is

\frac{K Q}{2 R}

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Potential at A changes if charge is shifted to B from O.

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Potential at C is

\frac{3}{2} \frac{K Q}{R}

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Potential at C changes if charge is shifted to B from O.

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Solution

The correct options are
A Potential at A is $\frac{K Q}{2 R}$
C Potential at C is $\frac{3}{2} \frac{K Q}{R}$
D Potential at C changes if charge is shifted to B from O.
$V_{A} = \frac{K Q}{\frac{3 R}{2}} - \frac{K Q}{\frac{3 R}{2}} + \frac{K Q}{2 R} = \frac{K Q}{2 R}$
$V_{C} = \frac{K Q}{\frac{R}{2}} - \frac{K Q}{R} + \frac{K Q}{2 R} = \frac{3}{2} \frac{K Q}{R}$
Field at A is always zero and charge distribution on outer surface is independent of shift in charge Q so potential at A remains constant.
Also field at C depends on position of charge Q.

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