Q72 / 90 · JEE Main 2022 (25 Jun Shift 2) · Physics

A sinusoidal voltage Vt=210sin3000t volt is applied to a series LCR circuit in which L=10 mH,C=25 μF and R=100Ω. The phase difference Φ between the applied voltage and resultant current will be 

  • Correct answer
    A
    tan-10.17
  • B
    tan-19.46
  • C
    tan-10.30
  • D
    tan-113.33

Solution

Capacitive reactance is XC=1ωC=13000×25×10-6=403Ω

Inductive reactance is XL=ωL=3000×10×10-3=30Ω

Now, total reactance is X=XL-XC

=30-403=503Ω

tanϕ=XR=503100=16

tanϕ=16=0.17

Hence, the phase difference between the applied voltage and resultant current is tan-10.17.

Hence, the correct answer is option: 'A'.

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