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AIPMT MAINS2009Physics-Alternating Current

AIPMT MAINS 2009 Physics Power in AC Circuits MCQ Question

Type: MCQ-numerical-Hard-Class 12

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

A

ε²R / √[R² + (Lω - 1/Cω)²]

B

ε²[R² + (Lω - 1/Cω)²] / R

C

ε²R / [R² + (Lω - 1/Cω)²]

D

ε²R² / [R² + (Lω - 1/Cω)²]

Correct Answer

Option D

Detailed Explanation

The power dissipated in an LCR circuit is given by the formula P = I²R, where I is the current. The impedance of the circuit affects the current, and the correct formula accounts for the impedance in the denominator.

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