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Write an expression for self inductance ...

Write an expression for self inductance of a long solenoid.

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To derive the expression for the self-inductance \( L \) of a long solenoid, we can follow these steps: ### Step 1: Understand the Concept of Self-Inductance Self-inductance is a property of a coil (or solenoid) that quantifies how much electromotive force (EMF) is induced in the coil due to a change in current flowing through it. ### Step 2: Define Magnetic Flux The magnetic flux \( \Phi \) through one turn of the solenoid is given by: \[ ...
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What is meant by self-inductance of a coil? Obtain an expression for the self-inductance of a long solenoid.

Define self-inductance and give its unit. Write down the expression for the self-inductance of a long solenoid of length l having N-turns.

Knowledge Check

  • Self induction of a solenoid is

    A
    Directly proportional to current flowing through the coil
    B
    Directly proportional to its length
    C
    Directly proportional to area of cross-section
    D
    Inversely proportional to area of cross-section

  • Self-inductance of a solenoid depend on-

    A
    the number of turns N of the coil
    B
    the area of cross-section A and length l of the coil.
    C
    the permeability of the core of the coil
    D
    all the above

    • Similar Questions

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    Define self-inductance. Write its SI unit. Derive an expression for self-inductance of a long, aircored solenoid of length l, cross-sectional area A (radius r), and having N number of turns.

    Define self -inductance and its S.I. unit. Derive an expression for self- industance of a long, air-cored solenoid of length , radius r , and having N number of turns.

    Obtain an expression for the self inductance of a straight solenoid of length l and radius r (l > > r).

    Write an expression for mutual inductance of two co-axial solenoids.

    What will be the effect on the self-inductance of a long solenoid, if the number of turns of a solenoid is made 3 times?

    Deduce an expression for the mutual inductance of two long coaxial solenoids but having different radii and different number of turns. Or Obtain the expression for the mutual inductance of two long coaxial solenoids S_(1) and S_(2) wound one over the other, each of length I and radii r_(1) and r_(2) , and number of turns per unit length n_(1) and n_(2) respeetively, when a current I is set up in the outer solenoid S_(2) .

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