For the circuit shown in the fig., the current through the inductor is 0.9A while the current through the condenser is 0.4A. Then

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  1. current drawn from source I = 1.13A
  2. ω = 1/ (1.5 LC) 
  3. I = 0.5A
  4. I = 0.6A

Answer (Detailed Solution Below)

Option 3 : I = 0.5A
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Detailed Solution

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Concept:

In an L-C circuit, the current drawn by the inductor and capacitor are out of phase. The net current drawn from the generator is the difference between the current drawn by the inductor and the current drawn by the capacitor. The net current can be expressed as:

I = Iₗ - I

Where:

  • Iₗ = Current through the inductor (0.9 A)
  • I= Current through the capacitor (0.4 A)

 

Calculation:

Given:

  • Iₗ = 0.9 A
  • I = 0.4 A

 

The net current drawn by the generator is:

I = Iₗ - I = 0.9 A - 0.4 A = 0.5 A

∴ The current drawn from the source is 0.5 A.

Hence, the correct answer is option 3.

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