# Problem: 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)=VC0sin(t).What is the amplitude I0 of the total current I(t) in the circuit?Express your answer in terms of any or all of R, C, VC0, and ω.

###### FREE Expert Solution

The amplitude of the total current is expressed as:

$\overline{){{\mathbf{I}}}_{{\mathbf{0}}}{\mathbf{=}}\frac{\mathbf{V}{\mathbf{C}}_{\mathbf{0}}}{{\mathbf{X}}_{\mathbf{C}}}}$

The inductive capacitance, Xc = 1/ωC

###### Problem Details

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)=VC0sin(t).

What is the amplitude I0 of the total current I(t) in the circuit?

Express your answer in terms of any or all of R, C, VC0, and ω.