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A small sphere of radius r is kept inside a hollow sphere of radius R (R > r) concentrically. The large and small sphere are charged by charges Q and q respectively. Both the sphere are separated from each other. The potential difference depends upon:

A small sphere of radius r is kept inside a hollow sphere of radius R (R > r) concentrically. The large and small sphere are charged by charges Q and q respectively. Both the sphere are separated from each other. The potential difference depends upon: Correct Answer only on q

CONCEPT:

  •  The potential difference(V): It is a measure of how much energy is transferred between two points in a circuit is called the potential difference.

V = I R, V = Voltage at given point(V), I = current flowing (amperes), R = resistance(ohm)

For a concentric sphere:

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Potential of small sphere(Vr) = K(q/r + Q/R)

Potential of large sphere(VR) = K(q + Q)/R

EXPLANATION:

Given that,

The radius of the bigger sphere = R

Charge on bigger sphere = Q

The radius of small sphere = r

Charge of small sphere = q

From the above discussion,

Taking the difference between the two potential.

Vr - VR = K(q/r + Q/R) - K(q + Q)/R = Kq(1/r - 1/R )

Thus it depends only on q.

The correct option is 1.

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