Question

When an ac source of emf`e=E_(0) sin (100 t)` is connected across a circuit, the phase difference between emf e and currnet I in the circuit is observed to be `(pi)//(4)` as shown in fig. If the circuit consists possibly only of R-C or R-C of L-R series, find the relationship find the relationship between the two elements.

A. `R= 1kOmega`, C=`10 muF`
B. R=`1kOmega`, `C=1muF`
C. `R=1kOmega`, L=10H
D. `R=1Omega` L=1H

Answer 1

Correct Answer - C
c) EmF and AC source `E=E_(0)sin(100t)`
We have, `omega=100` and `phi =pi/4=45^(@)`
`tanphi = (omegaL)/R`
`rArr I=(100 xx L)/(R)`
If L=10H, then R=`kOmega`