Q. What is the formula for calculating the total power in a resistive AC circuit?
A.
P = V^2 / R
B.
P = I^2 * R
C.
P = V * I * cos(φ)
D.
P = R * I^2
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Solution
In a resistive AC circuit, the total power (P) can be calculated using the formula P = V * I * cos(φ), where φ is the phase angle between the voltage and current.
Correct Answer:
C
— P = V * I * cos(φ)
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Q. What is the formula for calculating the total power in a three-phase AC system?
A.
P = √3 * V * I * cos(φ)
B.
P = V * I
C.
P = V^2 / R
D.
P = I^2 * R
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Solution
The total power in a three-phase AC system is calculated using the formula P = √3 * V * I * cos(φ), where φ is the phase angle.
Correct Answer:
A
— P = √3 * V * I * cos(φ)
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Q. What is the formula for calculating total impedance in a series AC circuit?
A.
Z = R + jX
B.
Z = R - jX
C.
Z = R * X
D.
Z = R / X
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Solution
In a series AC circuit, the total impedance (Z) is the sum of the resistance (R) and the reactance (X), expressed as Z = R + jX, where j is the imaginary unit.
Correct Answer:
A
— Z = R + jX
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Q. What is the formula for calculating total impedance in a series RLC circuit?
A.
Z = R + jX
B.
Z = R + j(X_L - X_C)
C.
Z = R + X_L + X_C
D.
Z = R + j(X_C - X_L)
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Solution
In a series RLC circuit, the total impedance (Z) is given by Z = R + j(X_L - X_C), where X_L is the inductive reactance and X_C is the capacitive reactance.
Correct Answer:
B
— Z = R + j(X_L - X_C)
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Q. What is the impedance of a capacitor in an AC circuit at frequency f?
A.
Z_C = 1 / (jωC)
B.
Z_C = jωC
C.
Z_C = R + jX_C
D.
Z_C = R - jX_C
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Solution
The impedance of a capacitor in an AC circuit is given by Z_C = 1 / (jωC), where ω = 2πf is the angular frequency.
Correct Answer:
A
— Z_C = 1 / (jωC)
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Q. What is the impedance of a purely resistive circuit?
A.
Z = R
B.
Z = jX
C.
Z = R + j0
D.
Z = 0
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Solution
In a purely resistive circuit, the impedance (Z) is equal to the resistance (R), as there is no reactance involved.
Correct Answer:
A
— Z = R
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Q. What is the Norton equivalent current in a circuit?
A.
The short-circuit current at the terminals
B.
The open-circuit voltage
C.
The total current in the circuit
D.
The current through the load
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Solution
The Norton equivalent current is defined as the current that flows through a short circuit placed across the terminals of the circuit.
Correct Answer:
A
— The short-circuit current at the terminals
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Q. What is the Norton equivalent of a circuit?
A.
A single voltage source and series resistance
B.
A single current source and parallel resistance
C.
A combination of inductors
D.
A complex impedance
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Solution
The Norton equivalent circuit is represented by a single current source in parallel with a resistance, simplifying the analysis of the circuit.
Correct Answer:
B
— A single current source and parallel resistance
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Q. What is the phase difference between voltage and current in a purely capacitive AC circuit?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
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Solution
In a purely capacitive circuit, the current leads the voltage by 90 degrees.
Correct Answer:
B
— 90 degrees
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Q. What is the phase difference between voltage and current in a purely resistive AC circuit?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
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Solution
In a purely resistive AC circuit, the voltage and current are in phase, meaning the phase difference is 0 degrees.
Correct Answer:
A
— 0 degrees
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Q. What is the power consumed by a resistor of 10Ω when a current of 2A flows through it?
A.
20W
B.
40W
C.
10W
D.
5W
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Solution
Power (P) can be calculated using P = I^2 * R. Therefore, P = (2A)^2 * 10Ω = 4 * 10 = 40W.
Correct Answer:
A
— 20W
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Q. What is the power factor in an AC circuit with a resistive load?
A.
1
B.
0
C.
0.5
D.
0.707
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Solution
The power factor in an AC circuit with a purely resistive load is 1, indicating that all the power is being used effectively.
Correct Answer:
A
— 1
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Q. What is the power factor in an AC circuit?
A.
The ratio of real power to apparent power
B.
The ratio of voltage to current
C.
The total power consumed
D.
The phase difference between voltage and current
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Solution
The power factor is defined as the ratio of real power (P) to apparent power (S) in an AC circuit, indicating how effectively the current is being converted into useful work.
Correct Answer:
A
— The ratio of real power to apparent power
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Q. What is the power factor of a purely resistive AC circuit?
A.
0
B.
0.5
C.
1
D.
Infinity
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Solution
The power factor is defined as the cosine of the phase angle between voltage and current. In a purely resistive circuit, this angle is 0 degrees, so the power factor is 1.
Correct Answer:
C
— 1
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Q. What is the relationship defined by Ohm's Law?
A.
V = I * R
B.
P = V * I
C.
Z = V / I
D.
I = V / R
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Solution
Ohm's Law states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with the resistance (R) being the constant of proportionality.
Correct Answer:
A
— V = I * R
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Q. What is the Thevenin equivalent of a circuit?
A.
A single voltage source and series resistance
B.
A single current source and parallel resistance
C.
A combination of capacitors
D.
A complex impedance
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Solution
The Thevenin equivalent circuit is represented by a single voltage source in series with a resistance, simplifying the analysis of the circuit.
Correct Answer:
A
— A single voltage source and series resistance
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Q. What is the Thevenin equivalent voltage (Vth) across terminals A and B if V1 = 10V and R1 = 5Ω, R2 = 10Ω in series?
A.
10V
B.
5V
C.
15V
D.
0V
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Solution
In a series circuit, the Thevenin voltage is the same as the source voltage, so Vth = V1 = 10V.
Correct Answer:
A
— 10V
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Q. What is the Thevenin equivalent voltage if a circuit has a 10V source and a 2Ω resistor in series with a 4Ω load?
A.
2.5V
B.
4V
C.
10V
D.
12V
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Solution
The Thevenin equivalent voltage is the open-circuit voltage across the load, which is the same as the source voltage in this case, 10V.
Correct Answer:
C
— 10V
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Q. What is the Thevenin equivalent voltage in a circuit?
A.
The open-circuit voltage at the terminals
B.
The short-circuit current
C.
The total voltage in the circuit
D.
The voltage drop across the load
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Solution
The Thevenin equivalent voltage is defined as the open-circuit voltage measured across the terminals of the circuit.
Correct Answer:
A
— The open-circuit voltage at the terminals
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Q. What is the unit of impedance?
A.
Ohm
B.
Volt
C.
Ampere
D.
Watt
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Solution
The unit of impedance is the Ohm (Ω), which measures the opposition that a circuit presents to the flow of alternating current.
Correct Answer:
A
— Ohm
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