Question

A part of a circuit contains an inductor. The current through the inductor is changing uniformly from 2.40A to 0.30A over the course of 1.75s. If the EMF ( voltage change ) from one side of the inductor to the other is 5.70 Volts, what is the value of the inductance

Answer 1

The value of the inductance is 4.75 H

Step-by-step explanation:

Given;

initial current through the inductor, I₁ = 2.4 A

final current through the inductor, I₂ = 0.3 A

duration of change of current, dt = 1.75 s

voltage change of the inductor, V = 5.7 Volts

The voltage change of the inductor is given by;

`V_L = -L(di)/(dt)\\\\ V_L = -L((I_2-I_1)/(dt) )\\\\V_L = L((I_1-I_2)/(dt) )\\\\`

Where;

L is the inductance of the coil;

`5.7 = L((2.4-0.3)/(1.75) )\\\\5.7 = 1.2 L\\\\L = (5.7)/(1.2)\\\\ L = 4.75 \ H`

Therefore, the value of the inductance is 4.75 H