In the circuit shown below, what is the current I of sinusoidal source?

F4 Savita Engineering 18-7-22 D15

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DDA JE (E&M) Official Paper (Held on 25 April 2018)
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  1. 4 A
  2. It cannot be determined from the given data.
  3. 20 A
  4. 28 A

Answer (Detailed Solution Below)

Option 3 : 20 A
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Detailed Solution

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Concept:

In a parallel RL circuit, current (I) is given by:

I = IR - jIL

\(I = {\sqrt{I_R^2\space+\space I_L^2}}\)

The power factor is given by:

cos ϕ = cos (tan-1\(( {I_L \over I_R})\))

Calculation:

Given, IR = 12 A

IL = 16 A

\(I = {\sqrt{(12)^2\space+\space (16)^2}}\)

I = 20 A

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