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QNEET-2016-Ph-1053: NEET 2016 Physics - Class 12 NEET-2016-Ph-1053 Solution: An inductor 20 mH a capacitor \(50 F\) and a resistor \(40 \)…

An inductor 20 mH a capacitor 50μF50\mu F and a resistor 40Ω40\Omega are connected in series across a source of emf V = 10 sin 340t. The power loss in A.C. circuit is 0.76 W 0.89 W 0.51 W 0.67 W

Multiple Choice Options

  • A 0.76 W
  • B 0.89 W
  • C 0.51 W
  • D 0.67 W

Step-by-Step Verified Solution

X L = _ L = 340 _ 20 _ 10 -3 = 6.8 � X C = 1 340 _ 50 _ 10 _ 6 = 58.82 � Average power in impedance Z = R 2 + ( X C _ X L ) 2 = 40 2 + ( 58.82 _ 6.8 ) 2 = 65.62 � Power loss in A.C. circuit, = V rms I rms cos _ = 1 2 V 0 I 0 cos _ = 1 2 _ 10 _ 10 65.62 _ 40 65.62 = 0.46 W

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