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 The current through a capacitor with capacitance of 33μF is given by \text { The current through a capacitor with capacitance of } 33 \mu \mathrm { F } \text { is given by }

question 7

Essay

 The current through a capacitor with capacitance of 33μF is given by \text { The current through a capacitor with capacitance of } 33 \mu \mathrm { F } \text { is given by } i(t)={0.005e1000(t+0.003),0t<0.0030.005e1000(t0.003),0.003t<0.006 A0, otherwise i ( t ) = \left\{ \begin{array} { c } 0.005 e ^ { - 1000 ( - t + 0.003 ) } , \quad 0 \leq t < 0.003 \\0.005 e ^ { - 1000 ( t - 0.003 ) } , \quad 0.003 \leq t < 0.006 \mathrm {~A} \\0 , \quad \text { otherwise }\end{array} \right.  Find the voltage across the capacitor v(t) and plot the current and voltage as a function of time. \text { Find the voltage across the capacitor } v ( t ) \text { and plot the current and voltage as a function of time. }


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