Energy stored in an inductor is given by: (Given L is inductance, I is current, N is number of turns of coil, A is area of cross section, μ is permeability of flux and Φ is flux) 

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RRB JE EE 22 Apr 2025 Shift 2 CBT 2 Official Paper
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  1. \(\rm \frac{\mu N^2A}{L}\)
  2. \(\rm L\frac{di}{dt}\)
  3. \(\rm \frac{N\Phi}{I}\)
  4. \(\rm \frac{1}{2}LI^2\)

Answer (Detailed Solution Below)

Option 4 : \(\rm \frac{1}{2}LI^2\)
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Detailed Solution

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Concept:

The energy stored in an inductor is due to the magnetic field created when current flows through it. The formula for the energy stored in an inductor is:

\(\rm \frac{1}{2}LI^2\)

Where:

  • L is the inductance in henrys (H)
  • I is the current in amperes (A)

This formula is derived from the work done to establish the current in the inductor against the induced EMF.

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