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AP EAMCET Engineering 22 Sep 2020 Shift 1 Paper

Section: Physics

Question : 85 of 160

Marks: +1, -0

In a series LCR circuit __________

Solution:

Phasor diagram of

L-C-R

series circuit is shown in the following figure,

For phasor diagram, it is clear that if

V_{L}>V_{C}

, then voltage

V

leads

\phi

angle from current.

where,

\phi=\tan ^{-1}\left(\;\frac{V_{L}-V_{C}}{V_{R}}\right)=\tan ^{-1}\left(\;\frac{X_{L}-X_{C}}{R}\right)

Hence, voltage leads the current with angle

\phi

when

V_{L}>V_{C} \Rightarrow L X_{L}>L X_{C} \Rightarrow X_{L}>X_{C}

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