Question:
If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of the solenoid will
If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of the solenoid will
Updated On: Jun 14, 2023
- remain unchanged
- be halved
- be doubled
- become four times
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The Correct Option is D
Solution and Explanation
Self inductance of a solenoid $=\mu_{0}n^{2}Al$
where $n$ is the number of turns per length
$\therefore$ Self inductance is directly proportional to
$n^{2}$ Self inductance becomes $4$ times when $n$ is doubled
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Concepts Used:
Electromagnetic Induction
Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-
- When we place the conductor in a changing magnetic field.
- When the conductor constantly moves in a stationary field.
Formula:
The electromagnetic induction is mathematically represented as:-
e=N × d∅.dt
Where
- e = induced voltage
- N = number of turns in the coil
- Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
- t = time
Applications of Electromagnetic Induction
- Electromagnetic induction in AC generator
- Electrical Transformers
- Magnetic Flow Meter