If 10A current is flowing through a solenoid of inductance 5H, find the magnetic energy stored in the solenoid.

  1. 50 J
  2. 250 J
  3. 500 J
  4. 125 J

Answer (Detailed Solution Below)

Option 2 : 250 J
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Detailed Solution

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CONCEPT:

  • Solenoid: It is a coil wound into a tightly packed helix, that generates a controlled magnetic field. 
    • The uniform magnetic field in the solenoid is produced when an electric current is passed through it.

F1 J.K Madhu 10.07.20 D3

  • Inductor: A device or component of a circuit that has significant self-inductance and stores energy in a magnetic field.

The formula used to find the energy stored in a magnetic field is given by:

E = 1/2 × L × I2

Where L is the inductance and I is current in the solenoid.

CALCULATION:

given that L = 5H; current I = 10A

The magnetic energy stored in the solenoid E = 1/2 × L × I2

E = 1/2 × 5 × 102 = 250 Joule

  • So the correct answer will be option 2 i.e. 250 J
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