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Question

In the circuit shown in the figure, the ac source gives a voltage V = 24cos(2000t). Neglecting source resistance, the voltmeter and ammeter reading will be 

  1. 0V, 0.47A
  2. 8.46V, 1.4 A
  3. 5.6V, 1.4 A
  4. 1.68V, 0.47A


Solution

The correct option is B 8.46V, 1.4 A

Z=(R)2+(XLXc)2

R=12Ω,XL=wL=2000× 5× 103=10Ω

Xc=1wC=12000× 50× 106=10Ω i.e.Z = 10Ω

Maximum current i0=V0Z=2412=2A

Hence irms=22=1.4A

and Vrms=6× 1.41=8.46 V

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