Inductor voltage

Question

Answer 1

Step 1:

Voltage across the inductor is .

Find the current using waveform given.

Observe the graph:

Two points in the interval are (0, 2) and (5, 4).

Two points in the interval are (5, 4) and (10, 2).

Find the current in .

Slope = .

Point-slope form of the equation is .

Slope = 0.4 and the point is (0, 2).

Circuit current in is .

Step 2:

Similarly for .

Slope = .

Slope = -0.4 and the point is (5, 4).

Circuit current in is .

Step 3:

Circuit current in is .

Circuit current in is .

Observe the circuit, .

Find voltage across the inductor in .

.

Find voltage across the inductor in .

.

Voltage across the inductor is .

Solution :

Voltage across the inductor is .