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Question

There is a current-carrying coil. In which form the energy will be stored in the coil?


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Solution

Concept used:

  1. An inductor is a passive two-terminal compound formed of an electrical conductor, such as a wire twisted into a coil. As a result, this might be referred to as a current-carrying coil.
  2. When electricity flows from the left to the right via the coil, it creates a magnetic field. The magnetic field will be directed in a clockwise direction.
  3. It can store electrical energy in the form of a magnetic field.

Explanation:

  1. We know that the magnetic field is produced by the current-carrying coil.
  2. The energy stored in an inductor will be is equal to the total amount of work required to establish the current through the inductor, and therefore the magnetic field.
  3. The formula for calculating the energy stored in a magnetic field is given by,

E=12LI2.

Where, E is the energy, L is the inductance in units of Henry, and, I is the current in units of Ampere.

4. The energy stored in a magnetic field is equal to the work needed to produce a current through the inductor.

Therefore, energy is stored in the current-carrying coil in the form of a magnetic field.


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