Q. 4

An inductor-coil

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.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

1MW power is to bPhysics - Exemplar

A 60 W load is coPhysics - Exemplar

The alternating cPhysics - Exemplar

An AC source rateHC Verma - Concepts of Physics Part 2

A device ‘X’ is cPhysics - Exemplar

An inductor-coil HC Verma - Concepts of Physics Part 2

When an AC voltagPhysics - Exemplar

For an LCR circuiPhysics - Exemplar