Question:

If N is the number of turns in a coil, the value of self inductance varies as

Updated On: Sep 3, 2024
  • $N^0$
  • N
  • $N^2$
  • $N^{-2}$
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The Correct Option is C

Solution and Explanation

$L=\frac{N\phi}{i}; \phi=BA; B=\mu_0ni=\frac{\mu_0 Ni}{l}$
$L=\frac{\mu_0N^2}{l}A=\mu n^2 \, \, A \, l$
where n is the number of tums/unit length $L? N^2$
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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.