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Question: A point charge is moving in clockwise direction in a circle with constant speed. Consider the magnet...

A point charge is moving in clockwise direction in a circle with constant speed. Consider the magnetic field produced by the charge at a point P (not centre of the circle) on the axis of the circle.

A

It is constant in magnitude only

B

It is constant in direction only

C

It is constant in direction and magnitude both

D

It is not constant in magnitude and direction both

Answer

It is constant in magnitude only

Explanation

Solution

The point charge moves in circle as shown in figure. The magnetic field vectors at a point P on axis of circle are BA\overrightarrow { \mathrm { B } } _ { \mathrm { A } } and at the instants the point charge is at A and C respectively as shown in the figure.

Hence as the particles rotates in circle, only magnitude of magnetic fiels remains constant at the point on axis P but it's direction changes. Ž Alternate solution Ž The magnetic field at point on the axis due to charged particle moving along a circular path is given by

μ04π\frac { \mu _ { 0 } } { 4 \pi } It can be seen that the magnitude of the magnetic field at on point on the axis remains constant. But the direction of the field keeps on changing.