Recall that the voltage across a capacitor is given by $V_{C}=\frac{1}{C} \int i(t) d t$. Find the formula for $V_{C}$ if $C=$ .01 farad, $i(t)=2 t+3$ amperes, and $V_{C}(0)=12$ volts.
A) $V_{C}(t)=100 t^{2}+300 t^{2}+1200$ volts
B) $V_{C}(t)=t^{2}+3 t+1200$ volts
C) $V_{C}(t)=100 t^{2}+300 t+12$ volts
D) $V_{C}(t)=t^{2}+3 t+12$ volts

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The Answer of Recall that the voltage across a capacitor is given by $V_{C}=\frac{1}{C} \int i(t) d t$. Find the formula for $V_{C}$ if $C=$ .01 farad, $i(t)=2 t+3$ amperes, and $V_{C}(0)=12$ volts.
A) $V_{C}(t)=100 t^{2}+300 t^{2}+1200$ volts
B) $V_{C}(t)=t^{2}+3 t+1200$ volts
C) $V_{C}(t)=100 t^{2}+300 t+12$ volts
D) $V_{C}(t)=t^{2}+3 t+12$ volts

Recall That the Voltage Across a Capacitor Is Given By V_{C}=\frac{1}{C}