Question

In an RC parallel circuit, Et = 480 V, R = 50 kΩ, and XC = 47 kΩ. What is the reactive power?

a) 2.55 kVAR
b) 3.75 kVAR
c) 4.02 kVAR
d) 5.92 kVAR

Answer 1

To calculate reactive power (Q) in an RC parallel circuit, use the formula Q = V^2 / XC. For Et = 480 V and XC = 47 kΩ, the reactive power is approximately 4.8936 kVAR, which is not listed in the provided options.

Step-by-step explanation:

To find the reactive power in an RC parallel circuit, we use the formula:

Q = V2 / XC

Where:

• Q is the reactive power in volt-amperes reactive (VAR)
• V is the total voltage across the circuit (Et)
• XC is the capacitive reactance

In this instance:

• Et = 480 V
• XC = 47 kΩ

Substituting the given values:

Q = (480 V)2 / 47,000 Ω = 4.8936 kVAR (approx.)

None of the provided options match this calculation. The student has either provided incorrect options or there may have been an error in the question.