First slide

Potential energy

Question

A fixed uniformly charged ring of radius 3 m has a positive linear charge density -50 μC/m. A point charge 5 μC is moving towards the ring along its axis such that its kinetic energy at A is 5 J. Its kinetic energy at the centre of ring will be nearly :

Moderate

A

1.3 J
B

2.7 J
C

3.1 J
D

4.1 J

Solution

From COME, $K_{A} + U_{A} = K_{o} + U_{o}$
$\Rightarrow K_{o} = K_{A} + U_{A} - U_{o} = K_{A} + q [\frac{kλ (2 πR)}{\sqrt{R^{2} + d^{2}}} - \frac{kλ (2 πR)}{R}] = 1.3 J$

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