Q.

What inductance would be needed to store 1.0 kWh of energy in a coil carrying a 200 A current? (1 kWh=3.6×106J)

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answer is 1.

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Detailed Solution

Given energy is 1.0 Kwh
First, we will convert into joules by using the below conversion 1Kwh =3.6×106J
So, energy becomes in joules as,
First it will convert into joules by using the below conversion
1KWh=3.6×106J
So, energy becomes in joules as
E=3.6×106Ji=200AL=?
Now we put these value in above formula we get,
3.6×106=12×L×(200)27.2×106=L×40000L=720000040000L=180H
The value of inductance needed to store 1.0KWh of energy in a coil carrying current a 200A current is 180H. The SI unit of inductance is Henry, and it is represented by the symbol H.

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