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A sinusoidal voltage of peak value 283 V...

A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which `R = 3 Omega. L = 25.48mH`. And `C = 796mu F`.
The impedance of the circuit

A

`4pi`

B

`5Omega `

C

`6Omega `

D

`7Omega `

Text Solution

Verified by Experts

The correct Answer is:
B
`X_L = 2pi v L`
` =2 xx 3.14 xx 50 xx 25.48 xx 10^(-3) = 8 Omega `
`X_C = (1)/(2pi v C) = (1)/(2 xx 3.14 xx 50 xx 796 xx 10^(-6)) = 4Omega `
`therefore ` Impendance of the circuit is
`Z = sqrt(R^2 + (X_L - X_C)^2 ) = sqrt((3)^2 + (8-4)^2) = 5Omega `
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