A 120-V rms voltage at 60.0 Hz is applied across an inductor, a capacitor, and a resistor in series. If the rms value of the current in this circuit is 0.600 A, what is the impedance of this circuit?
A) 200 Ω
B) 141 Ω
C) 20 4 Ω
D) 120 Ω
E) 100 Ω

Question

Quizplus · Accepted Answer

The impedance of a series circuit is given by the formula Z = sqrt(R^2 + (XL - XC)^2), where R is the resistance, XL is the inductive reactance, and XC is the capacitive reactance. In this problem, we are given that the rms voltage is 120 V, the rms current is 0.600 A, and the frequency is 60.0 Hz. We can use Ohm's law to find the resistance: R = V/I = 120 V / 0.600 A = 200 ohms. We can also use the formulas for inductive reactance and capacitive reactance to find XL and XC: XL = 2*pi*f*L and XC = 1/(2*pi*f*C). However, we are not given the values of L and C, so we cannot calculate XL and XC. Therefore, we cannot calculate the impedance of the circuit.

A 120-V Rms Voltage at 60