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Components

Inductance

An inductor opposes a change of current by inducing a voltage proportional to the rate of change: V = L × ΔI ÷ Δt. The energy stored in its magnetic field is E = ½ × L × I². Because the inductor resists changes in current, interrupting an inductive circuit can produce a large voltage spike, which is why a flyback path is used across relay coils and other inductive loads.

Inductance
V = L × ΔI ÷ Δt; E = ½ × L × I²

Variables and units

SymbolQuantityUnit
V Induced voltage V
L Inductance H
ΔI Change in current A
Δt Time interval s
E Stored energy J

Conditions of application

Ideal inductance with negligible winding resistance and capacitance. The voltage expression uses the average rate of change over the interval; use calculus for a continuously varying current.

Worked example

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Convert voltage, current, resistance and power between SI prefixes.

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