In the circuit shown below, the AC voltage is V0 cos(ωt). Find: (a) The current I(t) through the resistor and capacitor, assuming no current is diverted into the branches on the right. Clearly identify the relative phase shift δ between the applied voltage and the current. (b) The voltage VR(t) across the resistor. Factor your answer out so that it is expressed in terms of the dimensionless quantity ωRC. Graph the amplitude of VR(t) as a function of ωRC.

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