Question

An RLC circuit has resistance R=220Ω and inductive reactance Xₗ =355Ω. Calculate the circuit's capacitive reactance X (in Ω) if its power factor is cos(φ)=0.707. Ω

Answer 1

To calculate the capacitance of the RLC circuit, we can use the formula X = R * tan(φ), where X is the capacitive reactance, R is the resistance, and φ is the power factor. Substituting the given values, we can find X = 183.512Ω.

Step-by-step explanation:

The power factor of a circuit is defined as the ratio of the real power (P) to the apparent power (S). In this case, the power factor is given as cos(φ) = 0.707. To calculate the capacitance (X) of the RLC circuit, we need to use the formula:

X = R * tan(φ)

Substituting the given values, we get:

X = 220Ω * tan(0.707) ≈ 183.512Ω

Therefore, the circuit's capacitive reactance X is approximately 183.512Ω.