Question

Which of the following statements are true?

1) A time-varying magnetic field will produce an electric field.
2) Time-varying electric and magnetic fields can propagate through space only if there is no matter in their path.
3) Electric and magnetic fields can be treated independently only if they vary in time.
4) A time-varying electric field will produce a magnetic field.

Answer 1

1) A time-varying magnetic field will produce an electric field.

4) A time-varying electric field will produce a magnetic field.

Step-by-step explanation:

1) A time-varying magnetic field will produce an electric field.

TRUE

time varying magnetic field will produce electric field which is given as

`E = (r)/(2)(dB)/(dt)`

2) Time-varying electric and magnetic fields can propagate through space only if there is no matter in their path.

FALSE

Time varying electric field and magnetic field will induce each other and it can travel through any medium as well as it can travel without any medium also

3) Electric and magnetic fields can be treated independently only if they vary in time.

FALSE

electric field can be due to stationary charge and magnetic field due to current carrying elements so it is not compulsory to have time varying

4) A time-varying electric field will produce a magnetic field.

TRUE

Time varying electric field will produce magnetic field given as

`B = (\mu_o\epsilon_o A)/(2r)(dE)/(dt)`