In a series `RC` circuit with an AC source, `R = 300 Omega, C = 25 muF, epsilon_0= 50 V` and `v = 50/(pi) Hz`. Find the peak current and the average power dissipated in the circuit.

Options

A. 0.1 A
B. 2 A/s
C. 0.02 A
D. 1A

Answer

A

Explanation

`X_(C)=(1)/(2pifC)=(1)/(2pixx(50)/(pi)xx25xx10^(-6))`
`=(1)/(25xx10^(-4))=4xx10^(2)=400Omega`
`Z=sqrt(R^(2)+X_(C)^(2))=sqrt(9xx10^(4)+16xx10^(4))`
`Z=5xx10^(2)=500Omega`
`I_(0)=(e_(0))/(Z)=(50)/(500)=0.1A`