Question:
The current passing through an inductor coil of 5H is decreasing at the rate of 2A/s, the emf developed across the coil is
The current passing through an inductor coil of 5H is decreasing at the rate of 2A/s, the emf developed across the coil is
Updated On: Jul 29, 2022
- $ +10.0V $
- $ -10.0V $
- $ +2.5V $
- $ -2.5V $
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The Correct Option is A
Solution and Explanation
If on changing current through the coil, the emf induced in the coil ise, then by Faradays 2nd law, we have
$ e=-L\frac{\Delta i}{\Delta t} $
where, $ \frac{\Delta i}{\Delta t} $ is rate of change of current.
Given, $ L=5H,\text{ }\frac{\Delta i}{\Delta t}=-2A/s $ (decreasing)
$ \therefore $ $ e=-5\times (-2)=+10V $
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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.