Q. 21

(a) Show that the

Answer :

(a) Let the Potential of the ac source be given by



The current lags in an inductor circuit by a phase of . Therefore, the current is given by



We know that power is given by






(b) Let the total impedance of the circuits be Z.


We know that the power factor is given by



Where,


.


Now, for L-R circuit,



Therefore, power factor


Now, for the LCR circuit,



This is the resonance condition and hence all impedance is due to resistance.



Therefore, power factor


Hence the ratio is given by



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
caricature
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