# Problem: In a purely inductive AC circuit as shown in the figure, ΔVmax = 100 V.The maximum current is 8.00 A at 80.0 Hz. Calculate the inductance L.

###### FREE Expert Solution

Inductive reactance:

$\overline{){{\mathbf{X}}}_{{\mathbf{L}}}{\mathbf{=}}{\mathbf{\omega }}{\mathbf{L}}}$

Ohm's law:

$\overline{){\mathbf{V}}{\mathbf{=}}{\mathbf{i}}{\mathbf{R}}}$

Angular frequency:

$\overline{){\mathbf{\omega }}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi }}{\mathbf{f}}}$

###### Problem Details

In a purely inductive AC circuit as shown in the figure, ΔVmax = 100 V.

The maximum current is 8.00 A at 80.0 Hz. Calculate the inductance L.