A resistor and capacitor are connected in series across an AC generator. The emf of the generator is given by  v(t) = V0 cos(pi)t,  where  V0 = 136 V,   w= 128(pi) rad/s,   R = 440 Ω,  and  C = 4.4 µF. (a) What is the impedance of the circuit (in Ω)?  Ω (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.) vR(t)=       vC(t)=

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