A solid conducting sphere of radius a has a net positive ch…

Physics Electrostatics Potential & Capacitance Charge and Coulombs Law Single Correct MCQ

Published on: September 12, 2026

A solid conducting sphere of radius a has a net positive charge 2Q. A conducting spherical shell of inner radius b and outer radius c is concentric with the solid sphere and has a net charge – Q. The surface charge density on the inner and outer surfaces of the spherical shell will be

$-\frac{2Q}{4\pi b^{2}} , \frac{Q}{4\pi c^{2}}$

$-\frac{Q}{4 \pi b^{2}} , \frac{Q}{4 \pi c^{2}}$

$q, \frac{Q}{4 \pi \epsilon_0 r^2}$

None of the above

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The correct answer is:

Surface charge density ( σ σ ) $= \frac{\text{Charge}}{\text{Surface area}}$

So $\sigma_{inner} = \frac{-20Q}{4 \pi b^{2}}$ and $\sigma_{Outer} = \frac{Q}{4 \pi c^{2}}$

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