Self-inductance is the property of a coil (inductor) by which it opposes any change in the electric current flowing through it, by generating an opposing EMF (electromotive force) in itself.
The fundamental formula defining self-inductance is: L = NΦ / I
Definition: L = NΦ/I (Henry per turn).
SI Unit: Henry (H).
Induced EMF: ε = -L(dI/dt).
Solenoid Formula: L = μ₀n²V.
A coil with L = 1 Henry produces 1 volt when current changes at 1 A/s.
Definition Formula: L = NΦ / I Where: N = number of turns, Φ = magnetic flux per turn, I = current.
Induced EMF Formula: ε = -L (dI/dt) The self-induced EMF is proportional to the rate of change of current.
Self Inductance of a Solenoid: L = μ₀ × n² × V Where: μ₀ = permeability of free space (4π×10⁻⁷ H/m), n = number of turns per unit length, V = volume of the solenoid (= A×l).
Self-inductance L increases when:
The self inductance L of a coil is given by L = NΦ/I (from definition), or for a solenoid, L = μ₀n²V.
The SI unit of self-inductance is the Henry (H).
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