A 100 mH inductor is connected to a 157 V, 50 Hz AC source. The peak current of the circuit is _____.

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  1. Imax = 7.07 A
  2. Imax​ = 3.14 A
  3. Imax​ = 2.51 A
  4. Imax​ = 3.53 A

Answer (Detailed Solution Below)

Option 1 : Imax = 7.07 A
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Detailed Solution

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Given:

Concept:

Inductive reactance is the property of an inductive coil that resists the change in Alternating Current (AC) through it and is similar to the opposition to Direct Current (DC) in a resistance.

Inductive Reactance of a coil depends on the frequency of the applied voltage as reactance is directly proportional to frequency.

 

 

 

Explanation:

We will first find inductive reactance and then after solving for , we can find the value of  ,

Hence, the correct answer is .

 

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