Question:
The magnetic potential energy stored in a certain inductor is $25 \,mJ,$ when the current in the inductor is $60\, mA$ This inductor is of inductance
The magnetic potential energy stored in a certain inductor is $25 \,mJ,$ when the current in the inductor is $60\, mA$ This inductor is of inductance
Updated On: Jun 23, 2024
- 13.89 H
- 0.138 H
- 1.389 H
- 138.88 H
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The Correct Option is A
Solution and Explanation
Energy stored in inductor
$U = \frac{1}{2}\, LI^2$
$25 \times 10^{-3} = \frac{1}{2} \times L \times (60 \times 10^{-3})^2$
$L = \frac{25 \times 2 \times 10^6 \times 10^{-3}}{3600}$
$ = \frac{500}{36}$
$ = 13.89 \, H $
$U = \frac{1}{2}\, LI^2$
$25 \times 10^{-3} = \frac{1}{2} \times L \times (60 \times 10^{-3})^2$
$L = \frac{25 \times 2 \times 10^6 \times 10^{-3}}{3600}$
$ = \frac{500}{36}$
$ = 13.89 \, H $
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Concepts Used:
Inductance
Inductance is a key parameter in electrical and electronic circuit designs. Like resistance and capacitance, it is a basic electrical measurement that affects all circuits to some degree.
Inductance is used in many areas of electrical and electronic systems and circuits. The electronic components can be in a variety of forms and may be called by a variety of names: coils, inductors, chokes, transformers, . . . Each of these may also have a variety of different variants: with and without cores and the core materials may be of different types.
There are two ways in which inductance is used:
- Self-inductance: Self-inductance is the property of a circuit, often a coil, whereby a change in current causes a change in voltage in that circuit due to the magnetic effect of caused by the current flow. It can be seen that self-inductance applies to a single circuit - in other words it is an inductance, typically within a single coil. This effect is used in single coils or chokes.
- Mutual-inductance: Mutual inductance is an inductive effect where a change in current in one circuit causes a change in voltage across a second circuit as a result of a magnetic field that links both circuits. This effect is used in transformers.