EXERCISE $1$: USING PHASORS FOR A DRIVEN RC CIRCUIT

We will consider a circuit consisting of a time varying emf in series

with a capacitor and resistor. In an AC circuit, each element has a

$$reactance$$ which can be used to relate the peak current through the

element to the peak voltage across the element.

Q$1.$ What does the angular frequency of the emf have to be for the

capacitor and resistor have the same peak voltage $($i$.$e$.$ for R and XC

to be the same$)?$

Phasors can be used to represent the different parameters for an AC

circuit.

$$ At th