The value of the electric and magnetic fields in a particular reference frame in some units varies with time which is given by:

\(\vec{E}= 3 t \hat{x} + 4 t^2 \hat{y} + 7 \hat{k} \)\(\vec{B}= 5 t \hat{x} + 7 \hat{y} + 8 \hat{k} \).

There is a particle moving with some relativistic velocities observes the electric field to be of the form:

\(\vec{E}= 5 t^2 \hat{k} \).

How the magnetic field in z direction will behave at some late time?

1
constant
2
linearly decays with time
3
exponentially decays with time.
4
none
5
Question Not Attempted

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