An uncharged conducting sphere of radius R is connected by zero resistance wire to earth. A charged particle q0 is moving towards centre of sphere with constant velocity v0. Find current flowing in wire, when charged particle is at distance x. q0 = 10 C, R = 1 m, v0 = 10 m/s, x = 2 m.

Engineering

Physics

Electric Potential Energy and Electric Potential

Question

An uncharged conducting sphere of radius R is connected by zero resistance wire to earth. A charged particle q₀ is moving towards centre of sphere with constant velocity v₀. Find current flowing in wire, when charged particle is at distance x. q₀ = 10 C, R = 1 m, v₀ = 10 m/s, x = 2 m.

infinity

5 A

25 A

zero

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$\frac{{ka}_{0}}{x} + \frac{kq}{R} = 0$

$\Rightarrow a - \frac{{Rq}_{0}}{x}$

$i = - \frac{dq}{dt} = \frac{{Rq}_{0} v_{0}}{x^{2}} = 25 A$ .