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QNEET-2018-Ph-894: NEET 2018 Physics - Class 12 NEET-2018-Ph-894 Solution: An inductor 20 mH a capacitor \(100 F\) and a resistor \(50 \)…

An inductor 20 mH a capacitor 100μF100\mu F and a resistor 50Ω50\Omega are connected in series across a source of emf V = 10 sin 314 t. The power loss in the circuit is 0.79 W 0.43 W 2.74 W 1.13 W

Multiple Choice Options

  • A 0.79 W
  • B 0.43 W
  • C 2.74 W
  • D 1.13 W

Step-by-Step Verified Solution

Average power in impedance Z = R 2 + ( X C _ X L ) 2 where X C = capacitive reactance and X L = inductive reactance. Also X C = 1 _ C and X L = _ L _ Z = ( 50 ) 2 + ( 1 314 _ 100 _ 10 _ 6 _ 314 _ 20 _ 10 _ 3 ) 2 _ Z = 56.15 � I rms = V r m s Z = V m 2 _ Z = 10 2 _ 56 Hence power loss in the circuit = ( 10 2 _ 56 ) 2 _ 50 = 0.79 W

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