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  3. Physics
  4. A ring of radius R is carrying uniformly distributed charge +Q. A test charge -qo is placed on its axis at a distance 2 R from the centre and released. The motion of the particle on the axis will be:

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Q. A ring of radius $R$ is carrying uniformly distributed charge $+Q$. A test charge $-q_o$ is placed on its axis at a distance $2\,R$ from the centre and released. The motion of the particle on the axis will be:

Electrostatic Potential and Capacitance

Solution:

Motion is simple harmonic only when the test charge is placed very very near to the centre. Otherwise it is only periodic due to symmetry on the two sides of the ring.