Question:

For a current carrying inductor, emf associated is 20mV. Now, current through it changes from 6A to 2A in 2s. The coefficient of mutual inductance is

Updated On: Apr 26, 2024
  • 20 mH
  • 10 mH
  • 1mH
  • 2 mH
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The Correct Option is B

Solution and Explanation

$\left|e\right| = L \frac{dI}{dt} $
Here, $e = 20 mV = 20 \times10^{-3} V$
$ \frac{dI}{dt} = \frac{6-2}{2} = 2 \frac{A}{s }$
$ L = ? $
$\Rightarrow 20 \times10^{-3} = L \times 2$
$ \therefore \, \, \, L= 10 \times10^{-3} H = 10 \, mH$
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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.