Solutions for Engineering Circuit Analysis, 10th
Edition Hayt (All Chapters Included)
Chapter 1: Basic Concepts
1. The fundamental SI unit of electric charge is the:
a) Volt
b) Coulomb
c) Joule
d) Ampere
2. The passive sign convention states that:
a) Positive current enters the negative terminal of a device
b) Positive current enters the positive terminal of a device
c) Voltage and current direction are independent
d) Power absorbed is always negative
3. A device delivering 2A at a voltage of 10V is supplying power of:
a) 5W
b) 0.2W
c) 20W
d) -20W
Chapter 2: Basic Laws
4. Ohm's Law is correctly stated as:
a) R = I/V
b) V = IR
c) I = R/V
d) V = I/R
5. The equivalent resistance of three 6Ω resistors in parallel is:
a) 18 Ω
b) 2 Ω
c) 0.5 Ω
d) 9 Ω
6. Kirchhoff's Current Law (KCL) is based on the conservation of:
a) Energy
b) Charge
, c) Momentum
d) Voltage
Chapter 3: Nodal and Loop Analysis Techniques
7. For a circuit with 5 nodes, the number of independent KCL equations from nodal analysis
(using a reference node) is:
a) 5
b) 4
c) 6
d) 1
8. A supernode is required when:
a) Two nodes are connected by a voltage source
b) Two nodes are connected by a resistor
c) A current source is present
d) The circuit is non-planar
Chapter 4: Operational Amplifiers
9. In an ideal op-amp, the input current is:
a) Infinite
b) Equal to the output current
c) Zero
d) Defined by the supply voltage
10. For an ideal op-amp in a negative feedback configuration, the voltage difference
between the inverting and non-inverting terminals is:
a) Infinite
b) Equal to the output voltage
c) Zero
d) Undefined
Chapter 5: Capacitors and Inductors
11. The voltage across a capacitor cannot change instantaneously because it would require:
a) Infinite power
b) Infinite resistance
c) Zero current
d) Negative capacitance
12. The energy stored in an inductor with inductance L and current I is given by:
a) 1/2 LI²
, b) LI
c) 1/2 CV²
d) L di/dt
Chapter 6: Basic RC and RL Circuits
13. The time constant for an RL circuit is:
a) R/L
b) 1/(RL)
c) RL
d) L/R
14. In a source-free RC circuit, the capacitor voltage decays:
a) Linearly
b) Sinusoidally
c) Exponentially
d) Logarithmically
Chapter 7: RLC Circuits
15. The characteristic equation for a series RLC circuit is:
a) s² + (R/L)s + 1/(LC) = 0
b) s + RC = 0
c) s² + RCs + 1 = 0
d) s + 1/(RC) = 0
16. An underdamped response is characterized by:
a) Real, repeated roots
b) Real, distinct roots
c) Complex conjugate roots
d) A single real root
Chapter 8: Sinusoidal Steady-State Analysis
17. The phasor representation of v(t) = 10 cos(50t + 30°) V is:
a) 10∠30° V
b) 10∠-30° V
c) 10∠50° V
d) 50∠30° V
18. The impedance of a 10 mH inductor at ω = 100 rad/s is:
a) j1 Ω
b) -j1 Ω
, c) 10 Ω
d) j1000 Ω
Chapter 9: AC Steady-State Power Analysis
19. The unit of apparent power is the:
a) Watt
b) Joule
c) Volt-Ampere
d) Volt
20. The power factor is the cosine of the angle between:
a) Voltage and current phasors
b) Real and reactive power
c) Impedance and admittance
d) Voltage and impedance
Chapter 10: Polyphase Circuits
21. In a balanced three-phase Y-connected source, the line voltage is related to the phase
voltage by a factor of:
a) √3 and leads by 30°
b) √3 and lags by 30°
c) √3 and leads by 30° (for V_L leading V_phase)
d) 1/√3
Chapter 11: Magnetically Coupled Circuits
22. The mutual inductance M is related to the coupling coefficient k by:
a) M = k √(L1 L2)
b) M = k (L1 + L2)
c) M = k / (L1 L2)
d) M = (L1 L2)/k
23. The dot convention specifies:
a) The polarity of induced voltage
b) The value of resistance
c) The current direction in a resistor
d) The frequency of operation
Chapter 12: Complex Frequency and Network Functions
24. The standard form of complex frequency is:
a) s = σ + jω
Edition Hayt (All Chapters Included)
Chapter 1: Basic Concepts
1. The fundamental SI unit of electric charge is the:
a) Volt
b) Coulomb
c) Joule
d) Ampere
2. The passive sign convention states that:
a) Positive current enters the negative terminal of a device
b) Positive current enters the positive terminal of a device
c) Voltage and current direction are independent
d) Power absorbed is always negative
3. A device delivering 2A at a voltage of 10V is supplying power of:
a) 5W
b) 0.2W
c) 20W
d) -20W
Chapter 2: Basic Laws
4. Ohm's Law is correctly stated as:
a) R = I/V
b) V = IR
c) I = R/V
d) V = I/R
5. The equivalent resistance of three 6Ω resistors in parallel is:
a) 18 Ω
b) 2 Ω
c) 0.5 Ω
d) 9 Ω
6. Kirchhoff's Current Law (KCL) is based on the conservation of:
a) Energy
b) Charge
, c) Momentum
d) Voltage
Chapter 3: Nodal and Loop Analysis Techniques
7. For a circuit with 5 nodes, the number of independent KCL equations from nodal analysis
(using a reference node) is:
a) 5
b) 4
c) 6
d) 1
8. A supernode is required when:
a) Two nodes are connected by a voltage source
b) Two nodes are connected by a resistor
c) A current source is present
d) The circuit is non-planar
Chapter 4: Operational Amplifiers
9. In an ideal op-amp, the input current is:
a) Infinite
b) Equal to the output current
c) Zero
d) Defined by the supply voltage
10. For an ideal op-amp in a negative feedback configuration, the voltage difference
between the inverting and non-inverting terminals is:
a) Infinite
b) Equal to the output voltage
c) Zero
d) Undefined
Chapter 5: Capacitors and Inductors
11. The voltage across a capacitor cannot change instantaneously because it would require:
a) Infinite power
b) Infinite resistance
c) Zero current
d) Negative capacitance
12. The energy stored in an inductor with inductance L and current I is given by:
a) 1/2 LI²
, b) LI
c) 1/2 CV²
d) L di/dt
Chapter 6: Basic RC and RL Circuits
13. The time constant for an RL circuit is:
a) R/L
b) 1/(RL)
c) RL
d) L/R
14. In a source-free RC circuit, the capacitor voltage decays:
a) Linearly
b) Sinusoidally
c) Exponentially
d) Logarithmically
Chapter 7: RLC Circuits
15. The characteristic equation for a series RLC circuit is:
a) s² + (R/L)s + 1/(LC) = 0
b) s + RC = 0
c) s² + RCs + 1 = 0
d) s + 1/(RC) = 0
16. An underdamped response is characterized by:
a) Real, repeated roots
b) Real, distinct roots
c) Complex conjugate roots
d) A single real root
Chapter 8: Sinusoidal Steady-State Analysis
17. The phasor representation of v(t) = 10 cos(50t + 30°) V is:
a) 10∠30° V
b) 10∠-30° V
c) 10∠50° V
d) 50∠30° V
18. The impedance of a 10 mH inductor at ω = 100 rad/s is:
a) j1 Ω
b) -j1 Ω
, c) 10 Ω
d) j1000 Ω
Chapter 9: AC Steady-State Power Analysis
19. The unit of apparent power is the:
a) Watt
b) Joule
c) Volt-Ampere
d) Volt
20. The power factor is the cosine of the angle between:
a) Voltage and current phasors
b) Real and reactive power
c) Impedance and admittance
d) Voltage and impedance
Chapter 10: Polyphase Circuits
21. In a balanced three-phase Y-connected source, the line voltage is related to the phase
voltage by a factor of:
a) √3 and leads by 30°
b) √3 and lags by 30°
c) √3 and leads by 30° (for V_L leading V_phase)
d) 1/√3
Chapter 11: Magnetically Coupled Circuits
22. The mutual inductance M is related to the coupling coefficient k by:
a) M = k √(L1 L2)
b) M = k (L1 + L2)
c) M = k / (L1 L2)
d) M = (L1 L2)/k
23. The dot convention specifies:
a) The polarity of induced voltage
b) The value of resistance
c) The current direction in a resistor
d) The frequency of operation
Chapter 12: Complex Frequency and Network Functions
24. The standard form of complex frequency is:
a) s = σ + jω
