An electrical device draws 2kW power from AC mains (voltage 223V (rms) = 50,000 V).

Question:

An electrical device draws 2kW power from AC mains (voltage 223V (rms) = 50,000 V). The current differs (lags) in phase by φ (tan φ = -3/4) as compared to voltage. Find

(i) R,

(ii) XC – XL, and

(iii) IM. Another device has twice the values for R, XC and XL. How are the answers affected?

Solution:

Impedance = Z = 25 ohms

635 = 25R2/16

(a) Resistance = R = √25 × 16 = √400 = 20 ohms

(b) Xc – Xl = -3R/4 = -15 ohms

(c) Main current = Im = 12.6 A

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