Q. 79

Expert-verifiedFound in: Page 874

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

after the switch of FIGURE is moved from to , the magnetic energy stored in the inductor has decreased by half. What is the value of the inductance ?

Inductance,

An inductor appears to be a non-active electrical component with a strong magnetic field. An inductance is a wire loop or coil in the most basic form. The number of turns on a coil influences its inductance.

Given:

The final energy is half the energy of the initial one at time

Although the voltage differential across the coils produces an induced emf, the inductor's magnetic field stores energy. The below is the equation for the stored energy:

Where is the inductance of the coil. Initially, when the switch is at the current is maximum and the stored energy is

After time when the switch is moved to the current decays according to the equation

The final stored energy is,

The final energy is half the initial energy, therefore the expression for by

put the values for and into the above equation to get

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