When connected to an AC source, the magnetic field energy within an inductor transitions from its maximum to its minimum value in 5.0 ms . The frequency of the AC source is

Step-by-step solution

The magnetic energy stored in an inductor is given by U = 1 2 L I^2 For an AC circuit, the current varies as I = I₀ ( t) Substituting the value of current, we get U = 1 2 L I₀^2 ^2( t) The magnetic energy is maximum when ^2( t) = 1 and minimum when ^2( t) = 0 . The phase difference between the maximum and minimum values is 2 . The time taken for this transition is t = T 4 , where T is the time period of the AC source. Given t = 5.0 ms = 5 10⁻³ s T 4 = 5 10⁻³ s T = 20 10⁻³ s The frequency of the AC source is f = 1 T