Describe, in a general form, the equation, in time domain, that tells the voltage across a inductor, L, as a function of time when a current flows through it. Using this equation, determine the voltage across the inductor of the current flowing through it is a constant. HTML EditorKeyboard Shortcuts

Question

Engineering

Derek Sharp

8 July, 07:18

Describe, in a general form, the equation, in time domain, that tells the voltage across a inductor, L, as a function of time when a current flows through it. Using this equation, determine the voltage across the inductor of the current flowing through it is a constant. HTML EditorKeyboard Shortcuts

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Answers (1)

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Audrina · Answer 1

a) V (t) = Ldi (t) / dt

b) If current is constant, V = 0

Explanation:

a) The voltage, V (t), across an inductor is proportional to the rate of change of the current flowing across it with time.

If V represents the Voltage across the inductor

and i (t) represents the current across the inductor in time, t.

V (t) ∝ di (t) / dt

Introducing a proportionality constant, L, which is the inductance of the inductor

The general equation describing the voltage across the inductor of inductance, L, as a function of time when a current flows through it is shown below.

V (t) = Ldi (t) / dt ... (1)

b) If the current flowing through the inductor is constant i. e. does not vary with time

di (t) / dt = 0 and hence the general equation (1) above becomes

V (t) = 0