4.1 The Capacitor cont.

C

• Q(t) = Cv(t) , where C is constant

• Differentiate both sides with respect to time to obtain dQ(t) /dt = C x dv(t)/dt

• However, dQ(t)/dt = i(t) (current) \

i(t) = C x dv(t)/dt, where the passive sign convention is built into the formula (see below)

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