The voltage pulse described by the following equations is impressed across the terminals of a 0.5F...

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The voltage pulse described by the following equations is impressed across the terminals of a 0.5μF capacitor. v(t) = 0 v(t) = 4t V v(t) = 4e (-1) V t≤0 0≤t≤1 1≤t≤ 00 Derive the expressions for the capacitor current, power, and energy. b. Sketch the voltage, current, power, and energy as functions of time. Line the plots up vertically so that for a given time interval the behavior of each variable can easily be assessed. c. Specify the interval of time when energy is being stored in the capacitor. d. Evaluate the integral f pdt from (i) t=0 to 1 and (ii) t = 1 to %; comment on the significance of these two integrals The voltage pulse described by the following equations is impressed across the terminals of a 0.5μF capacitor. v(t) = 0 v(t) = 4t V v(t) = 4e (-1) V t≤0 0≤t≤1 1≤t≤ 00 Derive the expressions for the capacitor current, power, and energy. b. Sketch the voltage, current, power, and energy as functions of time. Line the plots up vertically so that for a given time interval the behavior of each variable can easily be assessed. c. Specify the interval of time when energy is being stored in the capacitor. d. Evaluate the integral f pdt from (i) t=0 to 1 and (ii) t = 1 to %; comment on the significance of these two integrals