The figure shows the current through a 10-mH inductor.What is maximum magnitude of the potential difference $\Delta$V_L across the inductor over the period shown? A)20 V B)40 V C)60 V D)60 mV

Question

Quizplus · Accepted Answer

The maximum potential difference across an inductor occurs when the current is changing at its maximum rate, which is at the zero crossings of the sine wave. The period of the sine wave is 20 ms, so the time between the zero crossings is 10 ms. From the graph, we can estimate that the maximum change in current is 1 A over 10 ms, which gives a rate of 100 V/s. Using the formula V = L di/dt, where L = 10 mH, we get a maximum potential difference of 60 V. Therefore, the correct choice is C.

The Figure Shows the Current Through a 10-MH Inductor Δ\DeltaΔ VL Across the Inductor Over the Period Shown? A)20

The Figure Shows the Current Through a 10-MH Inductor $\Delta$ V_L Across the Inductor Over the Period Shown?
A)20