Question:

The induced emf in a coil of $10$ Henry inductance in which current varies from $9\,A $ to $4\,A$ in $0.2$,second is

Updated On: Jun 6, 2024
  • 200 V
  • 250 V
  • 300 V
  • 350 V
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The Correct Option is B

Solution and Explanation

Included emf $e=-L \frac{d i}{d t}$
Given, $L=10\, H,\, \Delta i=9-4=5\, A,\, d t=0.2\, s$
$e=10 \times \frac{5}{0.2}=250\, V$
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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.