l. (25pts.) Driven RC circuit in parallel. A capacitor C is connected in parallel to a resistor R and an AC source providing a voltage vhf) = Vsindt). (a) Make a phasor diagram at an arbitrary time t showing all relevant quantities based on Kirchhoff 's rules. (b) Find the the peak value of the total current. (c) What are the small and large frequency behaviors (or > I] and w > 00, respectively] of the peak capacitor and resistor currents? (d) What is the phase difference between the total current and the input voltage? Find the limits to > O and w > cc and discuss your results in relation to part [c]. (e) Write an expression for alt), the total current thought the circuit, if V = 240 V, C = 39 \"F, R = 320 Q, and f = 940 Hz