Final answer:
By using the given voltage, current, and power readings, we can calculate the impedance, power factor, resistance, reactance, reactive power, and apparent power for the motor circuit, as well as determine that the capacitance is zero.
Step-by-step explanation:
The student is tasked with analyzing a motor circuit that behaves like a resistor and inductor in series connected to a 120 V power source. With a measured current of 1.4 A and power consumption of 150 Watts, we can fill in the table for the circuit.
First, let's calculate the impedance (Z) of the circuit using the formula Z = V/I, where V is the voltage and I is the current.
Z = 120 V / 1.4 A = 85.71 Ω
Now, let's determine the power factor (pf), which is the ratio of true power to apparent power. It can be calculated using the formula pf = true power / (V * I).
pf = 150 W / (120 V * 1.4 A) = 0.8929
We can then calculate resistance (R) using the formula R = Z * pf.
R = 85.71 Ω * 0.8929 = 76.5 Ω
To find the reactance (X), we use the formula X = Z * sqrt(1 - pf^2).
X = 85.71 Ω * sqrt(1 - 0.8929^2) = 36.53 Ω
The reactive power (Q) can be calculated using the formula Q = V * I * sqrt(1 - pf^2).
Q = 120 V * 1.4 A * sqrt(1 - 0.8929^2) = 80.43 VAR
The apparent power (S) is the product of the voltage and the current, S = V * I.
S = 120 V * 1.4 A = 168 VA
Since the motor behaves as a resistor and inductor, it does not have capacitance, so this value would be zero.