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5. Given v = 200 sin 377t V and i = 8 sin (377t-30°) A for an ac circuit. Determine (a) the power factor, (b) true power, (c) apparent power, and (d) reactive power.

5. Given v = 200 sin 377t V and i = 8 sin (377t-30°) A for an ac circuit. Determine (a) the power factor, (b) true power, (c) apparent power, and (d) reactive power.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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A. Answer 5
TEST YOURSELF 1. The load taken from a supply consists of (a) lamp load 10 kW a unity power factor (b) motor load of 80 kVA at 0.8 power factor lagging and (c) motor load of 40 kVA at 0.7 power factor leading. Calculate the total load taken from the supply in kW and in kVA and the power factor of the combined load. 2. A 3.73 kW, 1-phase, 200-V motor runs at an efficiency of 75% with a power factor of 0.7 lagging. Find (a) the real input power (b) the kVA taken (c) the reactive power and (d) the current. 3. An inductive circuit draws 10 A and 1 kW from a 200-V, 50 Hz a.c. supply. Determine: (i) the impedance in Cartesian from (a + jb) (ii) the impedance in polar from Z Z 0 (iii) the power factor (iv) the reactive power (v) the apparent power. 4. A resistance of 20 ohms, inductance of 0.2 H and capacitance of 150 µF are connected in series and are fed by a 230 V, 50 Hz supply. Find X₁, Xc, Z, Y, p.f., active power and reactive power. 5. Given v = 200 sin 377t V and i = 8 sin (377t-30°) A for an ac circuit. Determine (a) the power factor, (b) true power, (c) apparent power, and (d) reactive power.
Transcribed Image Text:TEST YOURSELF 1. The load taken from a supply consists of (a) lamp load 10 kW a unity power factor (b) motor load of 80 kVA at 0.8 power factor lagging and (c) motor load of 40 kVA at 0.7 power factor leading. Calculate the total load taken from the supply in kW and in kVA and the power factor of the combined load. 2. A 3.73 kW, 1-phase, 200-V motor runs at an efficiency of 75% with a power factor of 0.7 lagging. Find (a) the real input power (b) the kVA taken (c) the reactive power and (d) the current. 3. An inductive circuit draws 10 A and 1 kW from a 200-V, 50 Hz a.c. supply. Determine: (i) the impedance in Cartesian from (a + jb) (ii) the impedance in polar from Z Z 0 (iii) the power factor (iv) the reactive power (v) the apparent power. 4. A resistance of 20 ohms, inductance of 0.2 H and capacitance of 150 µF are connected in series and are fed by a 230 V, 50 Hz supply. Find X₁, Xc, Z, Y, p.f., active power and reactive power. 5. Given v = 200 sin 377t V and i = 8 sin (377t-30°) A for an ac circuit. Determine (a) the power factor, (b) true power, (c) apparent power, and (d) reactive power.
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