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

Essay

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