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Question: Answered & Verified by Expert
In LC circuit the inductance L=40 mH and capacitance C=100 μF. If a voltage Vt=10sin314t is applied to the circuit, the current in the circuit is given as:
PhysicsAlternating CurrentJEE MainJEE Main 2020 (09 Jan Shift 2)
Options:
  • A 0.52cos314t
  • B 10cos314t
  • C 5.2cos314t
  • D 0.52sin314t
Solution:
2397 Upvotes Verified Answer
The correct answer is: 0.52cos314t

z=R2+XC-XL2
R=0
Z=XC-XL
=1ωC-ωL
=1314×100×10-6-314×40×10-3
=31.84-12.56
=19.28 Ω

i=V0Zsin314t+π2
i=V0Zcos314ti=1019.28cos314t
i=0.52cos314t

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