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Question: In a series LCR circuit the voltage across an inductor, capacitor and resistor are 20V,20V and 40V r...

In a series LCR circuit the voltage across an inductor, capacitor and resistor are 20V,20V and 40V respectively The phase difference between the applied voltage and the current in the circuit is

A

30030^{0}

B

45045^{0}

C

60060^{0}

D

000^{0}

Answer

000^{0}

Explanation

Solution

: Let φ\varphibe the phase difference between the applied voltage and current Then

tan⁡φ=XL−XCR=IV(XL−XC)IVR\tan\varphi = \frac{X_{L} - X_{C}}{R} = \frac{I_{V}(X_{L} - X_{C})}{I_{V}R}

=VL−VCVR=20V−20V40V=0= \frac{V_{L} - V_{C}}{V_{R}} = \frac{20V - 20V}{40V} = 0

∴φ=tan⁡−1(0)=0o\therefore\varphi = \tan^{- 1}(0) = 0^{o}