A solid conducting sphere of radius a has a net positive charge 2Q . A conducting spherical shell of

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2. Electric Potential and Capacitance

medium

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}}}$

$0,\frac{Q}{{4\pi {c^2}}}$

None of the above

Solution

(a) Surface charge density ($\sigma$) $ = \frac{{{\rm{Charge}}}}{{{\rm{Surface area}}}}$
So ${\sigma _{inner}} = \frac{{ – 2Q}}{{\,4\pi {b^2}}}$ and ${\sigma _{Outer}} = \frac{Q}{{\,4\pi {c^2}}}$

Standard 12

Physics

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hard

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

Solution

Similar Questions

A hollow metal sphere of radius $5\,\, cm$ is charged so that the potential on its surface is $10\,\, V$. The potential at the centre of the sphere is…..$V$

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