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3.(20 points) The voltage across a capacitor with capacitance C 100 F is given by 20t, 0si<1 20, 1st<2 -401 +100, 2st<3 1 を(1) 20r-100, 4st<5 0, otherwise This voltage is shown in Figure 3. (a) Find the current ic(t) through the capacitor and plot ic(t) for 0 st35s. (b) Find the instantaneous power pc(t) on the capacitor and plot pc(t) for 0st5s (c) Find the instantaneous energy wc(t) on the capacitor and plot we(t) for 0 Sts5s. (d) Specify the time interval when the energy is being stored on the capacitor and the time interval when the energy is being delivered from the capacitor to the circuit. 30 20 10 10 -20 -30 4 t (s) Figure 3
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