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Standard XII

Physics

Potential Gradient and Relation between Electric Field and Potential

A metal spher...

Question

A metal sphere of radius a is having charge +Q on it Now it is connected with a metal wire to a concentric spherical shell of radius 2a Then the net potential at the surface of outer shell is

\frac{K Q}{a}

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\frac{K Q}{2 a}

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

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\frac{2 K Q}{a}

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Solution

The correct option is B $\frac{K Q}{2 a}$
When it connected by wire, all charge from inside is conducted to the outer shell and then potential inside the shell is a constant and equal to the potential at the surface ; i.e
$\frac{K Q}{2 a} =$ Net potential at the surface of outer shell.

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A metal sphere of radius a is having charge +Q on it Now it is connected with a metal wire to a concentric spherical shell of radius 2a Then the net potential at the surface of outer shell is

The correct option is B KQ2aWhen it connected by wire, all charge from inside is conducted to the outer shell and then potential inside the shell is a constant and equal to the potential at the surface ; i.eKQ2a= Net potential at the surface of outer shell.

The correct option is B $\frac{K Q}{2 a}$
When it connected by wire, all charge from inside is conducted to the outer shell and then potential inside the shell is a constant and equal to the potential at the surface ; i.e
$\frac{K Q}{2 a} =$ Net potential at the surface of outer shell.