A 70.0-O resistor is connected in series with a 50.0-µF capacitor and a generato

Question

A 70.0-O resistor is connected in series with a 50.0-µF capacitor and a generator having a maximum voltage of 1.20 *10^2 V and operating at 60.0 Hz.
(a) Find the capacitive reactance of the circuit.
_______O

(b) Find the impedance of the circuit.
________ O

(c) Find the maximum current in the circuit.
_________ A

(d) Does the voltage lead or lag the current? (choose one)
The voltage leads the current.
The voltage lags the current.

(e) How will putting an inductor in series with the existing capacitor and resistor affect the current? (State how the maximum current changes for the following conditions.)
XL < 2XC (choose one)
The current will decrease.
The current will stay the same.
The current will increase.
XL = 2XC (choose one)
The current will decrease.
The current will stay the same.
The current will increase.
XL > 2XC (choose one)
The current will decrease.
The current will stay the same.
The current will increase.

Explanation / Answer

a)capacitive reactance, Xc = 1/(2*3.14*f*C) = 53.05 ohms b) impedance,Z = sqrt(R^2 + Xc^2) = 87.8 ohms c) maximum current = V/Z = 120/87.8 = 1.37 A d) The voltage lags the current. e) XL < 2XC : The current will increase. XL = 2XC : The current will increase. XL > 2XC : The current will decrease

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