Question: A resistor and a capacitor are connected in parallel across a sinusoidal emf = E max cos t as shown in Figure. (a) Show

A resistor and a capacitor are connected in parallel across a sinusoidal emf ← = Emax cos ωt as shown in Figure.

(a) Show that the current in the resistor is IR = (←max/R) cos ωt.

(b) Show that the current in the capacitor branch is IC = (←max/XC) cos (ωt + 90°).

(c) Show that the total current is given by I = IR + IC = Imax cos (ωt + δ), where tan δ = R/XC and Imax = ←max/Z with Z–2 = R–2 + XC–2.

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