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Standard XII

Physics

Potential Energy of a Dipole in Uniform Electric Field

A point charg...

Question

A point charge q is brought from infinity(slowly so that the heat developed in the shell is negligible) and is placed at the centre of a conducting neutral spherical shell of inner radius a and outer radius b, then work done by external agent is:

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\frac{k q^{2}}{2 b}

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\frac{k q^{2}}{2 b} - \frac{k q^{2}}{2 a}

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\frac{k q^{2}}{2 a} - \frac{k q^{2}}{2 b}

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Solution

The correct option is B $\frac{k q^{2}}{2 b}$
When we bring a charge and place it at the centre, then will induce charges on the spherical shells.
Now, $W = \frac{1}{2} k \frac{q^{2}}{b}$

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A point charge q is brought from infinity(slowly so that the heat developed in the shell is negligible) and is placed at the centre of a conducting neutral spherical shell of inner radius a and outer radius b, then work done by external agent is:

The correct option is B kq22bWhen we bring a charge and place it at the centre, then will induce charges on the spherical shells.Now, W=12kq2b

The correct option is B $\frac{k q^{2}}{2 b}$
When we bring a charge and place it at the centre, then will induce charges on the spherical shells.
Now, $W = \frac{1}{2} k \frac{q^{2}}{b}$