A resistor and capacitor are connected in series across an AC generator. The emf of the generator is given by v(t)= V₀ cost, where V₀ = 134 V, = 122 rad/s, R = 460 , and C = 4.6 F.

(a)What is the impedance of the circuit (in )?__________

(b)What is the amplitude of the current through the resistor (in A)?_________ A

(c)Write an expression for the current through the resistor. (Use the following as necessary: t. Assume i(t) is in amps and t is in seconds. Do not include units in your answer.) i(t) = ____________

(d)Write expressions representing the voltages across the resistor and across the capacitor. (Use the following as necessary: t. Assume v(t) is in volts and t is in seconds. Do not include units in your answers.)

v_R(t)=___________

v_C(t)=--------------