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Q. 79

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 874

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Short Answer

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,

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Step by Step Solution

Step1: Inductor

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.

Step2: Find Final stored energy

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,

Step3: 

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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