A charge $q$ is moving in a circle of radius ' $a$ ' with constant angular velocity $ω$

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magnetic field at the centre of the ring will be constant.

magnetic field on the axis of ring at a distance $r$ from the centre will vary with time

magnetic field on the axis of ring at a distance $r$ from the centre will remain constant

direction of magnetic field on the axis of ring at a distance r from the centre will vary with time.

answer is A, B, D.

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Detailed Solution

$\vec{B} = \frac{μ_{0}}{4 π} \frac{Q \vec{v} \times \vec{r}}{{|\vec{r}|}^{3}} w h e r e \vec{r} i s t h e p o s i t i o n v e c t o r o f t h e p o i n t r e l a t i v e t o t h e p o s i t i o n o f t h e c h a r g e . A t t h e c e n t r e o f t h e r i n g, \vec{v} \times \vec{r} r e m a i n s c o n s \tan t a n d a t a p o i n t o n t h e a x i s m a g n i t u d e o f \vec{v} \times \vec{r} r e m a i n s c o n s \tan t b u t i t s d i r e c t i o n c o n t i n u o u s l y c h a n g e s .$