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Phasor Diagrams in AC Circuits

In a series L...

Question

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

A

30

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B

45

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C

60

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D

0

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Solution

The correct option is D 0
Let $ϕ$ be the phase different between the
applied voltage and current . Then
$t a n ϕ = \frac{X_{L} - X_{C}}{R} = \frac{I_{V} (X_{L} - X_{C})}{I_{V} R}$

$t a n ϕ = \frac{V_{L} - V_{C}}{V_{R}} = \frac{20 V - 20 V}{40 V} = 0$

$∴ ϕ = t a n^{- 1} (0) = 0^{0}$

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