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 = irms2 x R, where irms = 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, irms = rms value of current, which is non zero. Hence, option (D) is incorrect.
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