For an inductor-coil circuit with some resistance, the current and the induced emf in the inductor are of the sinusoidal form. It is shown in the diagram below:

Here, T is the time period.

From the graph, we can see that the average value of current or induced emf over a cycle is 0.

Mathematically, we can see it in the following way:

Let the emf be of the form E = E₀sinωt, where E₀ = peak value of emf, ω = angular frequency, t = time.

Average emf over an entire cycle

Where T = time period

Similarly, we can also show that the average value of current over a full time period is also 0.

Hence, options (A) and (B) are correct.

Joule heat is given by H = i_rms² x R, where i_rms = rms value of current, and R = resistance, which is non zero. Hence, option (C) is incorrect.

Magnetic energy stored in inductor is given by , where L = inductance, i_rms = rms value of current, which is non zero. Hence, option (D) is incorrect.