Answer:
The value of the inductance is 4.75 H
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;
[tex]V_L = -L\frac{di}{dt}\\\\ V_L = -L(\frac{I_2-I_1}{dt} )\\\\V_L = L(\frac{I_1-I_2}{dt} )\\\\[/tex]
Where;
L is the inductance of the coil;
[tex]5.7 = L(\frac{2.4-0.3}{1.75} )\\\\5.7 = 1.2 L\\\\L = \frac{5.7}{1.2}\\\\ L = 4.75 \ H[/tex]
Therefore, the value of the inductance is 4.75 H
