Question

In LCR series circuit an ac emf of 2 volt and frequency 50 Hz is applied across the combination. If resistance is `4Omega`, capacitance is `8muF` and inductance is `10^(-2)H` then the voltage across inductor will be
A. (3/5 V)
B. (5/3 V)
C. (2/3 V)
D. (0.02 V)

Answer 1

Correct Answer - D
`I=(e)/(Z)`
`X_(L)=2pifL`
`=2xx3.14xx50xx10^(-2)=3.14Omega`
`X_(C)=(1)/(2pifC)=(1)/(2xx3.14xx50xx8xx10^(-6))`
`=(0.3185xx10^(4))/(8)=(3185)/(8)=397Omega`
`Z=sqrt(R^(2)(X_(L)-X_(C))^(2))`
`Z=397Omega`
`e_(R)=I*R=(e)/(Z)*R`
`=(2)/(397)xx4=0.02V`.