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Understanding Electrostatic Potential

Three concent...

Question

Three concentric spherical conducting shells A,B and C of radii $R$ , $2 R$ and $4 R$ respectively are shown in figure. A and C are shorted and B is uniformly charged with $+ Q$ . The charge on conductor A is :

\frac{Q}{3}

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- \frac{Q}{3}

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\frac{2 Q}{3}

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None of the above

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Solution

The correct option is B $- \frac{Q}{3}$
The charge distribution of the system is as shown in the figure.
SInce A and C are shorted , they have the same potential.
$k x / R + k Q / 2 R - k x / 4 R = k x / 4 R + k Q / 4 R - k x / 4 R$
$3 x / 4 R = - Q / 4 R \Rightarrow x = - Q / 3$

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Three concentric spherical conducting shells A,B and C of radii R, 2R and 4R respectively are shown in figure. A and C are shorted and B is uniformly charged with +Q. The charge on conductor A is :

The correct option is B −Q3The charge distribution of the system is as shown in the figure.SInce A and C are shorted , they have the same potential.kx/R+kQ/2R−kx/4R=kx/4R+kQ/4R−kx/4R3x/4R=−Q/4R⇒x=−Q/3

Three concentric spherical conducting shells A,B and C of radii $R$ , $2 R$ and $4 R$ respectively are shown in figure. A and C are shorted and B is uniformly charged with $+ Q$ . The charge on conductor A is :

The correct option is B $- \frac{Q}{3}$
The charge distribution of the system is as shown in the figure.
SInce A and C are shorted , they have the same potential.
$k x / R + k Q / 2 R - k x / 4 R = k x / 4 R + k Q / 4 R - k x / 4 R$
$3 x / 4 R = - Q / 4 R \Rightarrow x = - Q / 3$