Aresistor and capacitor are connected in series across an ac generator. the voltage of the generator is given by v ( t ) = v 0 cos ( ω t ) , where v 0 = 120 v , ω = 120 π rad / s , r = 700 ω , and c = 3 μ f . (a) what is the magnitude of the impedance of the r c circuit? (b) what is the amplitude of the current through the resistor? (c) what is the phase difference between the voltage and current?

a.1127.7Ω

b.0.1714A

c.

Explanation:

From our knowledge of AC Circuit, where we have the resistor arranges in series with the capacitor, the total impedance(Z) of the circuit is given as

Where R is the resistor value in the circuit and  is the circuit capacitance due to the capacitor in the circuit and is express as

By inserting values, we can determine the value of the capacitance

since the resistor  value is 700Ω, we can substitute into the equation for the impedance

b. from the expression of Ohms law,

the voltage in this case is the amplitude of the voltage in the question i.e 120v

Hence  

C. the phasor angle is express as

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explanation: