A resistor with resistance r and a capacitor with capacitance c are connected in series to an ac voltage source. the time-dependent voltage across the capacitor is given by vc(t)=vc0sinωt. part a what is the amplitude i0 of the total current i(t) in the circuit?
Since we are given the voltage over the capacitor, current will be (because resistor and capacitor are in series the current flowing through them has to be the same): [tex]I=\frac{V_{C0}}{Z_C}[/tex] Where Zc is the impedance of the capacitor. The impedance of the capacitor is: [tex]Z_C=\frac{1}{Cw}[/tex] When we plug that back into the first formula we get: [tex]I=\frac{V_{C0}}{1/Cw}=V_{C0}Cw[/tex]
