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, X_{c} = 1/ωC

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 V_{C}(t)=V_{C}_{0}sin(t).

What is the amplitude I_{0} of the total current I(t) in the circuit?

Express your answer in terms of any or all of R, C, V_{C}_{0}, and ω.

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