In the electric circuit shown in Figure 1, the current i(t) increases from zero to 10A...

 

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In the electric circuit shown in Figure 1, the current i(t) increases from zero to 10A in the interval 0 ≤t≤1 sec, remains at 10A for 1 ≤t≤ 2 sec and decreases linearly from 10A at 2 sec to 0 at 3 sec. • Sketch the current waveform and then write the mathematical expressions for i(t) for 0 st≤ 3 sec. • Find the mathematical expression for the inductor voltage Vi(t) for 0 sts 3 sec. Find the mathematical expression for the Capacitor voltage Vc(t) for 0 st ≤ 3 sec. Sketch V₁(t), Vc(t) and the energy stored in the capacitor. 62 i(t) Figure 1 2 F 0.5 H In the electric circuit shown in Figure 1, the current i(t) increases from zero to 10A in the interval 0 ≤t≤1 sec, remains at 10A for 1 ≤t≤ 2 sec and decreases linearly from 10A at 2 sec to 0 at 3 sec. • Sketch the current waveform and then write the mathematical expressions for i(t) for 0 st≤ 3 sec. • Find the mathematical expression for the inductor voltage Vi(t) for 0 sts 3 sec. Find the mathematical expression for the Capacitor voltage Vc(t) for 0 st ≤ 3 sec. Sketch V₁(t), Vc(t) and the energy stored in the capacitor. 62 i(t) Figure 1 2 F 0.5 H