Answer :

The rms current in (a) is given by:

Now, the rms current in (b) is given by:

Now, if the source voltage is the same in both cases, then .

Now, for the currents to be equal,

Using, and where ω is angular frequency, L is inductance and C is capacitance,

Using where f is the frequency,

This is called resonance and the last equation is the condition for resonance. Hence, the rms current is the same when there is resonance in (b) and the source rms voltage is the same.

(b) Note that

where Z is impedance




No, the rms current in b can never be larger than in (a) (assuming that the rms voltage is the same).

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

(i) When an AC soPhysics - Board Papers

In the LCR circuiPhysics - Exemplar

Consider the LCR Physics - Exemplar

An electrical devPhysics - Exemplar

Explain why the rPhysics - Exemplar

Explain why the rPhysics - Exemplar

A coil of 0.01 hePhysics - Exemplar

In series LCR cirPhysics - Exemplar