What inductance would be needed to store 2kWh of energy in a coil carrying a 100A current?

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SSC JE Electrical 11 Oct 2023 Shift 3 Official Paper-I
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  1. 4 H
  2. 1440 H
  3. 0.4 H
  4. 100 H

Answer (Detailed Solution Below)

Option 2 : 1440 H
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Detailed Solution

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Concept

The energy stored in an inductor is given by:

\(E={1\over 2}LI^2\)

where, E = Energy

L = Inductance

I = Current

Calculation

Given, E = 2kWh = 2 x 3.6 x 106 J

I = 100 A

\(2\times 10^6\times 3.6={1\over 2}L(100)^2\)

L = 1440 H

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