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# Problem: In a purely inductive AC circuit as shown in the figure, ΔVmax = 100 V.At what angular frequency ω is the maximum current 1.50 A in rad/s when L = 24.9 mH?

###### 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:

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

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###### Problem Details

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

At what angular frequency ω is the maximum current 1.50 A in rad/s when L = 24.9 mH?