Consider an inductor of 2 H with ω = 100 rad/sec and with voltage

v = 10 cos (ωt + 50°) V. The time done current is: 

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  1. 15 sin (50t + 40°) A
  2. 0.5 sin (100 t - 45°) A
  3. 0.05 cos (100 t − 40°) A
  4. (3 cos t) A

Answer (Detailed Solution Below)

Option 3 : 0.05 cos (100 t − 40°) A
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Detailed Solution

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Concept:

The voltage across the inductor is given by,

Calculation:

Given VL(t)=v = 10 cos (ωt + 50°) V

L=2 H ,ω= 100 rad/sec}dt

 

 ⇒

             =0.05 sin (100 t + 50°) A

             =0.05 cos (100 t − 40°) A

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