Final answer:
In an AC circuit with a capacitor, resistor, and inductor, the peak current through the AC source is equal to the peak voltage divided by the resistance. The peak current across the capacitor is infinite at high frequencies.
Step-by-step explanation:
In an AC circuit consisting of a capacitor connected in parallel to a resistor with a coil of inductance in series, the peak value of current through the AC source can be determined using Ohm's law and impedance.
Since the reactance of the inductor and capacitor is equal to the resistance, the peak current through the AC source will be equal to the peak voltage divided by the resistance.
The peak current across the capacitor can be determined using the equation Ic = Xc/V, where Xc is the reactance of the capacitor and V is the voltage across the capacitor. At high frequencies, the reactance of the capacitor tends to zero, so the peak current across the capacitor will approach the peak voltage divided by zero, resulting in an infinite value.