AIPMT PRELIMS2009Physics-Alternating Current

AIPMT PRELIMS 2009 Physics Power in AC Circuits MCQ Question

Type: MCQ-conceptual-Medium-Class 12

Power dissipated in an LCR series circuit connected to an a.c source of emf ε is:

A

ε2R2+(Lω1Cω)2R\frac{\varepsilon^2\sqrt{R^2+\left(L\omega-\frac{1}{C\omega}\right)^2}}{R}

B

ε2[R2+(Lω1Cω)2]R\frac{\varepsilon^2\left[R^2+\left(L\omega-\frac{1}{C\omega}\right)^2\right]}{R}

C

ε2RR2+(Lω1Cω)2\frac{\varepsilon^2R}{\sqrt{R^2+\left(L\omega-\frac{1}{C\omega}\right)^2}}

D

ε2RR2+(Lω1Cω)2\frac{\varepsilon^2R}{R^2+\left(L\omega-\frac{1}{C\omega}\right)^2}

Correct Answer

Option D

Detailed Explanation

The power dissipated in an LCR circuit is given by P = I²R = ε²/Z² * R. The correct expression for Z in terms of R, L, and C is used to derive the correct option.

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