Circuit Analysis MCQs

What is the equivalent resistance of two 10-ohm resistors connected in series?

A) 5 ohms
B) 10 ohms
C) 15 ohms
D) 20 ohms
Answer: D) 20 ohms
What is the equivalent resistance of two 10-ohm resistors connected in parallel?

A) 5 ohms
B) 10 ohms
C) 20 ohms
D) 25 ohms
Answer: A) 5 ohms
Which law states that the sum of the currents entering a junction equals the sum of the currents leaving the junction?

A) Ohm’s Law
B) Kirchhoff’s Voltage Law
C) Kirchhoff’s Current Law
D) Faraday’s Law
Answer: C) Kirchhoff’s Current Law
In a series RC circuit, the phase angle between the voltage and current is:

A) 0 degrees
B) 45 degrees
C) 90 degrees
D) -45 degrees
Answer: B) 45 degrees
What is the time constant of an RC circuit?

A) R + C
B) R * C
C) R / C
D) 1 / (R * C)
Answer: B) R * C
In an AC circuit, the power factor is defined as:

A) The ratio of true power to apparent power
B) The ratio of apparent power to true power
C) The product of true power and apparent power
D) The difference between true power and apparent power
Answer: A) The ratio of true power to apparent power
The reactance of a capacitor is given by which formula?

A)
𝑋
𝐶
=
1
/
(
2
𝜋
𝑓
𝐿
)
X
C

=1/(2πfL)
B)
𝑋
𝐶
=
2
𝜋
𝑓
𝐿
X
C

=2πfL
C)
𝑋
𝐶
=
1
/
(
2
𝜋
𝑓
𝐶
)
X
C

=1/(2πfC)
D)
𝑋
𝐶
=
2
𝜋
𝑓
𝐶
X
C

=2πfC
Answer: C)
𝑋
𝐶
=
1
/
(
2
𝜋
𝑓
𝐶
)
X
C

=1/(2πfC)
What is the impedance of a series RLC circuit at resonance?

A) Equal to the resistance
B) Equal to the reactance
C) Zero
D) Infinity
Answer: A) Equal to the resistance
In a purely inductive AC circuit, the phase difference between the voltage and current is:

A) 0 degrees
B) 45 degrees
C) 90 degrees
D) -90 degrees
Answer: C) 90 degrees
Which theorem states that any linear electrical network with voltage and current sources can be replaced by an equivalent voltage source and series resistance?

A) Norton’s Theorem
B) Thevenin’s Theorem
C) Superposition Theorem
D) Maximum Power Transfer Theorem
Answer: B) Thevenin’s Theorem
What is the total capacitance of two 10 μF capacitors connected in series?

A) 5 μF
B) 10 μF
C) 15 μF
D) 20 μF
Answer: A) 5 μF
In a parallel RL circuit, the total current is:

A) The sum of the currents through R and L
B) The product of the currents through R and L
C) The difference of the currents through R and L
D) The vector sum of the currents through R and L
Answer: D) The vector sum of the currents through R and L
Which of the following is true for a purely resistive AC circuit?

A) Voltage lags current by 90 degrees
B) Voltage leads current by 90 degrees
C) Voltage and current are in phase
D) Voltage and current are out of phase
Answer: C) Voltage and current are in phase
What is the unit of impedance?

A) Ohm
B) Farad
C) Henry
D) Watt
Answer: A) Ohm
The bandwidth of a series resonant circuit is defined as:

A)
𝑓
0
𝑄
Q
f
0

B)
𝑓
0
×
𝑄
f
0

×Q
C)
𝑓
0
+
𝑄
f
0

+Q
D)
𝑓
0
−
𝑄
f
0

−Q
Answer: A)
𝑓
0
𝑄
Q
f
0

Which analysis method involves simplifying a circuit by replacing a portion of it with an equivalent impedance?

A) Nodal analysis
B) Mesh analysis
C) Thevenin’s Theorem
D) Norton’s Theorem
Answer: C) Thevenin’s Theorem
In a series RLC circuit, what happens to the impedance at the resonant frequency?

A) It becomes zero
B) It becomes infinity
C) It is minimum
D) It is maximum
Answer: C) It is minimum
Which component in an AC circuit causes a phase shift between voltage and current?

A) Resistor
B) Capacitor
C) Inductor
D) Both B and C
Answer: D) Both B and C
What is the main purpose of using a capacitor in an AC circuit?

A) To store charge
B) To resist the flow of current
C) To create a phase shift
D) To increase current
Answer: C) To create a phase shift
In a parallel circuit, the voltage across each component is:

A) The same
B) Different
C) The sum of the voltages across all components
D) Zero
Answer: A) The same
The reciprocal of resistance is called:

A) Conductance
B) Inductance
C) Capacitance
D) Reactance
Answer: A) Conductance
In a series circuit, the total voltage is:

A) The same across all components
B) Different across each component
C) The sum of the voltages across all components
D) Zero
Answer: C) The sum of the voltages across all components
What is the formula for the capacitive reactance?

A)
𝑋
𝐶
=
1
2
𝜋
𝑓
𝐿
X
C

=
2πfL
1

B)
𝑋
𝐶
=
2
𝜋
𝑓
𝐿
X
C

=2πfL
C)
𝑋
𝐶
=
1
2
𝜋
𝑓
𝐶
X
C

=
2πfC
1

D)
𝑋
𝐶
=
2
𝜋
𝑓
𝐶
X
C

=2πfC
Answer: C)
𝑋
𝐶
=
1
2
𝜋
𝑓
𝐶
X
C

=
2πfC
1

Which of the following methods is used to analyze circuits using the principle of superposition?

A) Nodal analysis
B) Mesh analysis
C) Superposition Theorem
D) Norton’s Theorem
Answer: C) Superposition Theorem
The power factor of a circuit is defined as:

A) True power / Apparent power
B) Apparent power / True power
C) True power + Apparent power
D) Apparent power – True power
Answer: A) True power / Apparent power
Which component is used to oppose changes in current in a circuit?

A) Resistor
B) Capacitor
C) Inductor
D) Diode
Answer: C) Inductor
What is the unit of reactance?

A) Ohm
B) Farad
C) Henry
D) Volt
Answer: A) Ohm
In a parallel RLC circuit, what happens to the impedance at resonance?

A) It becomes zero
B) It becomes infinity
C) It is minimum
D) It is maximum
Answer: C) It is minimum
Which theorem is used to simplify a network with two or more sources into a single voltage source and series resistance?

A) Thevenin’s Theorem
B) Norton’s Theorem
C) Superposition Theorem
D) Reciprocity Theorem
Answer: A) Thevenin’s Theorem
In a series RLC circuit, what is the phase angle between the total voltage and the total current?

A) 0 degrees
B) 45 degrees
C) 90 degrees
D) Depends on the values of R, L, and C
Answer: D) Depends on the values of R, L, and C
Which method is used to determine the current in each branch of a circuit with multiple loops?

A) Nodal analysis
B) Mesh analysis
C) Thevenin’s Theorem
D) Norton’s Theorem
Answer: B) Mesh analysis
The total admittance in a parallel circuit is given by:

A) The sum of the individual admittances
B) The product of the individual admittances
C) The difference of the individual admittances
D) The reciprocal of the sum of the individual admittances
Answer: A) The sum of the individual admittances
Which component in a circuit stores energy in the form of an electric field?

A) Resistor
B) Inductor
C) Capacitor
D) Diode
Answer: C) Capacitor
The reactance of an inductor is given by which formula?

A)
𝑋
𝐿
=
1
2
𝜋
𝑓
𝐿
X
L

=
2πfL
1

B)
𝑋
𝐿
=
2
𝜋
𝑓
𝐿
X
L

=2πfL
C)
𝑋
𝐿
=
1
2
𝜋
𝑓
𝐶
X
L

=
2πfC
1

D)
𝑋
𝐿
=
2
𝜋
𝑓
𝐶
X
L

=2πfC
Answer: B)
𝑋
𝐿
=
2
𝜋
𝑓
𝐿
X
L

=2πfL
In a parallel RC circuit, the total current is:

A) The sum of the currents through R and C
B) The product of the currents through R and C
C) The difference of the currents through R and C
D) The vector sum of the currents through R and C
Answer: D) The vector sum of the currents through R and C
What is the main purpose of using an inductor in an AC circuit?

A) To store charge
B) To resist the flow of current
C) To create a phase shift
D) To store energy in a magnetic field
Answer: D) To store energy in a magnetic field
Which of the following describes the behavior of an ideal voltage source?

A) Provides constant current regardless of the load
B) Provides constant voltage regardless of the load
C) Provides varying voltage depending on the load
D) Provides varying current depending on the load
Answer: B) Provides constant voltage regardless of the load
In a series RLC circuit, what happens to the current at resonance?

A) It is zero
B) It is maximum
C) It is minimum
D) It is infinity
Answer: B) It is maximum
Which analysis method is used to find the voltage at different nodes in a circuit?

A) Nodal analysis
B) Mesh analysis
C) Thevenin’s Theorem
D) Norton’s Theorem
Answer: A) Nodal analysis
The power dissipated in a resistor is given by which formula?

A)
𝑃
=
𝑉
𝐼
P=VI
B)
𝑃
=
𝑉
2
/
𝑅
P=V
2
/R
C)
𝑃
=
𝐼
2
𝑅
P=I
2
R
D) All of the above
Answer: D) All of the above
In a parallel circuit, the total resistance is:

A) The sum of the individual resistances
B) The product of the individual resistances
C) The reciprocal of the sum of the reciprocals of the individual resistances
D) The difference of the individual resistances
Answer: C) The reciprocal of the sum of the reciprocals of the individual resistances
Which theorem states that any linear electrical network can be replaced by an equivalent current source in parallel with an equivalent resistance?

A) Thevenin’s Theorem
B) Norton’s Theorem
C) Superposition Theorem
D) Reciprocity Theorem
Answer: B) Norton’s Theorem
The voltage across a capacitor cannot change instantaneously. True or False?

A) True
B) False
Answer: A) True
Which of the following is a measure of a material’s opposition to the flow of electric current?

A) Conductance
B) Resistance
C) Capacitance
D) Inductance
Answer: B) Resistance
In an AC circuit, the term “reactive power” refers to:

A) Power dissipated in resistance
B) Power stored and released by inductors and capacitors
C) Power converted to mechanical form
D) Power converted to heat
Answer: B) Power stored and released by inductors and capacitors
The unit of conductance is:

A) Ohm
B) Siemens
C) Farad
D) Henry
Answer: B) Siemens
In a series RLC circuit, if the inductive reactance is greater than the capacitive reactance, the circuit behaves:

A) Inductively
B) Capacitively
C) Resistively
D) None of the above
Answer: A) Inductively
Which law states that the sum of the voltages around a closed loop in a circuit is equal to zero?

A) Ohm’s Law
B) Kirchhoff’s Voltage Law
C) Kirchhoff’s Current Law
D) Faraday’s Law
Answer: B) Kirchhoff’s Voltage Law
What is the main use of a resistor in a circuit?

A) To store charge
B) To store energy in a magnetic field
C) To oppose the flow of current
D) To create a phase shift
Answer: C) To oppose the flow of current
The quality factor (Q) of a resonant circuit is a measure of:

A) The sharpness of its resonance
B) The total energy stored
C) The total energy dissipated
D) The bandwidth of the circuit
Answer: A) The sharpness of its resonance

Circuit Analysis MCQs

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