If ‘N’ is the number of turns in a circular coil, the value of its self-inductance varies as
If ‘N’ is the number of turns in a circular coil, the value of its self-inductance varies as
N0
N3
N2
N1
The Correct Option is C
Solution and Explanation
The self-inductance, denoted by L, is given by:
L = \(\frac {μ₀ * N² * A}{l}\)
where:
μ₀ is the permeability of free space,
N is the number of turns in the coil,
A is the cross-sectional area of the coil,
and l is the length of the coil. From the equation,
We can see that the self-inductance (L) varies as the square of the number of turns (N²).
Therefore, the correct answer is (C) N².
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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.