AC Circuit Analysis Quiz

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Questions and Answers

What is the value of pure inductance required to run a 120V, 650 watt lamp on a 230V 50 Hz AC supply?

1.2 H
0.5 H (correct)
0.8 H
2.0 H

What is the power factor of an AC circuit where v = 200 sin 314t volts and i = 10 sin(314t - 380) amperes?

0.7
0.6
0.8
0.9 (correct)

Which equation correctly expresses the relationship between line voltage and phase voltage in a 3-phase star connected circuits?

V_phase = V_line / 3
V_line = V_phase × √3 (correct)
V_phase = 3 × V_line
V_line = V_phase / √3

How can you calculate the total impedance of a load connected to a 3-phase 400V supply with a line current of 20A and power consumption of 12 kW?

<p>Z = P/(√3 × V) (C)</p> Signup and view all the answers

What is the power factor of a circuit with impedances Z1 = 6 + j8Ω and Z2 = 6 - j12Ω connected in parallel?

<p>0.73 (C)</p> Signup and view all the answers

Flashcards

Series Inductor for Lamp

A pure inductor is connected in series with a 120V, 650W lamp to operate it on a 230V, 50Hz AC supply.

AC Circuit Parameters

Given voltage (v = 200 sin 314t V) and current (i = 10 sin (314t - 380) A), calculate resistance, reactance, power factor, and draw power triangle.

Parallel RLC Resonant Frequency

Derive the resonant frequency (f) and Q-factor for a parallel RLC circuit.

3-Phase Star Connected Load

Calculate impedance, power factor, and reactive power of a 3-phase star-connected load with provided values of line voltage, line current, and power.

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Parallel Impedance Circuit

Calculate admittance, power factor, and branch currents for two impedances (Z1 = 6 + j8Ω, Z2 = 6 – j12Ω) connected in parallel to a 200V, 50Hz AC supply.

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Study Notes

Assignment 2

Question 1: A 120V, 650 watt lamp is to be connected to a 230V, 50Hz AC supply. Calculate the pure inductance needed to ensure the lamp runs at its rated voltage.
Question 2: Given voltage (v = 200 sin 314t) and current (i = 10 sin (314t - 38°)). Determine resistance, reactance, and power factor of the AC circuit. Draw the power triangle.
Question 3: Derive the resonant frequency and Q-factor formula for a parallel RLC circuit.
Question 4: Derive the relationship between line voltage and phase voltage in a three-phase star-connected circuit. A three-phase, 400V supply is connected to a three-phase star-connected load with 20A line current, consuming 12kW. Calculate the impedance of the load, power factor, and reactive power (kVAR).
Question 5: Two impedances (Z₁ = 6 + j8Ω and Z₂ = 6 – j12Ω) are connected in parallel to a 200V, 50Hz AC supply. Calculate (i) admittance, (ii) power factor, and (iii) current drawn by each load in the branch.

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Description

Test your knowledge on AC circuit fundamentals with this quiz. It covers topics such as inductance, impedance, power factor calculations, and parallel RLC circuits. Perfect for students studying electrical engineering concepts.