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Question: 200 V ac source is fed to series LCR circuit having \(X_{L}\)=50\(\Omega\),and R= 25\(\Omega\). Pote...

200 V ac source is fed to series LCR circuit having XLX_{L}=50Ω\Omega,and R= 25Ω\Omega. Potential drop across the inductor is

A

100V

B

200V

C

400V

D

10V

Answer

400V

Explanation

Solution

: Here, Vrms=200VV_{rms} = 200V

XL=50Ω,XC=50Ω,R=25ΩX_{L} = 50\Omega,X_{C} = 50\Omega,R = 25\Omega

Impedance of the circuit,

Irms=VrmsZ=200V25Ω=8AI_{rms} = \frac{V_{rms}}{Z} = \frac{200V}{25\Omega} = 8A

Voltage drop across the inductor is

VL=IrmsXL=8A×50Ω=400VV_{L} = I_{rms}X_{L} = 8A \times 50\Omega = 400V