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Derive the expression for the self induc...

Derive the expression for the self inductance of a long solenoid of cross sectional area A and length l, having n turns per unit length.

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To derive the expression for the self-inductance \( L \) of a long solenoid with cross-sectional area \( A \), length \( l \), and having \( n \) turns per unit length, we can follow these steps: ### Step 1: Define the parameters of the solenoid Let: - \( R \) = radius of the solenoid - \( l \) = length of the solenoid - \( A \) = cross-sectional area of the solenoid = \( \pi R^2 \) - \( n \) = number of turns per unit length ...
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Explore conceptually related problems

(a) Define self inductance. Write its S.I. units (b) Derive and expression for self inductance of a long solenoid of length l cross-sectional area A having N number of turns.

The self inductance of a solenoid of length L, area of cross-section A and having N turns is-

Knowledge Check

  • The self inductance of a solenoid that has a cross-sectional area of 1 cm^(2) , a length of 10 cm and 1000 turns of wire is

    A
    `0.86 mH`
    B
    `1.06 mH`
    C
    `1.26 mH`
    D
    `1.46 mH`

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    Define mutual inductance between a pair of coils. Derive expression for the mutual inductance of two long coaxial solenoids of same length wound one over the other.

    Define mutual inductance between two long coaxial solenoids. Find out the expression for the mutual of inner solenoid of length 1 having the radius r_(1) and the number of turns n_(1) per unit length due to the second other solenoid of same length and n_(2) number of turns per unit length.

    Derive the expression for the magnetic energy stored in a solenoid in terms of magnetic field B, area A and length l of the solenoid carrying a steady current 1. How does this magnetic energy per unit volume compare with the electrostatic energy density stored in a parallel plate capacitor ?

    The self inductance L of a solenoid depends on the number of turns per unit length 'n' as

    The expression for magnetic induction inside a solenoid of length L carrying a current I and having N number of turns is

    Assertion : The self-inductionce of a long solenoid is proportional to the area of corss-section and length of the solenoid. Reason : Self inductance of a solenoid is independent of the number of truns per unit length.

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