Verified Solution • 2025–26 Session moderate

QAIPMT-2005-Ph-2561: NEET 2005 Physics - Class 12 AIPMT-2005-Ph-2561 Solution: In a circuit L, C and R are connected in series with an…

In a circuit L, C and R are connected in series with an alternating voltage source of frequency f. The current leads the voltage by 45∘45^\circ. The value of C is

Multiple Choice Options

  • A 1πf(2πfL−R)\frac{1}{\pi f(2\pi fL-R)}
  • B 12πf(2πfL−R)\frac{1}{2\pi f(2\pi fL-R)}
  • C 1πf(2πfL+R)\frac{1}{\pi f(2\pi fL+R)}
  • D 12πf(2πfL+R)\frac{1}{2\pi f(2\pi fL+R)}

Step-by-Step Verified Solution

tan _ = X C _ X L R _ tan _ ( � 4 ) = 1 _ C _ _ L R _ R = 1 _ C _ _ L _ R + 2 � fL = 1 2 � f C _ C = 1 2 � f ( R + 2 � f L )

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