The magnetic field energy in an inductor changes from maximum value of minimum value in 5.0 ms when connected to an AC source. The frequency of the source is

The magnetic field energy in an inductor is given by … (i), where L = inductor, i = current.


The graph of alternating current is given by:



From (i), we can see that the magnetic field energy reached its maximum and minimum value when the current is maximum and 0 respectively.


Also, from the graph we can see that the time taken by the current to change from its maximum to zero value is T/4, where T = time period.


Now, from the given problem, = 5 ms = 0.005 s


Hence, time period T = (0.005 x 4) s = 0.02 s


Therefore, frequency of oscillation is equal to = = 50 Hz. (Ans)

1