1. Sinusoidal steady-state analysis and phasor relationships for R, L, and C
elements
2. Impedance and admittance combinations in series, parallel, and delta-wye
configurations
3. Nodal and mesh analysis applied to AC circuits with complex impedances
4. Superposition theorem, Thevenin's theorem, and Norton's theorem in AC
domain
5. Power calculations including real, reactive, apparent power, and power
factor correction
6. RMS values, average values, and form factor for periodic waveforms
7. Three-phase circuits including balanced wye and delta connections and
power measurement
8. Frequency response, resonance in series and parallel RLC circuits, and
quality factor
, 9. Magnetically coupled circuits, mutual inductance, and ideal transformer
analysis
10. Transient analysis of first-order and second-order circuits with DC sources
and initial conditions
EEE 334 Circuits II Midterm Exam
1. In a sinusoidal steady-state analysis of a circuit containing a resistor and
inductor in series, which statement correctly describes the phase
relationship between the voltage across the inductor and the current
through it?
□ A. Voltage leads current by exactly ninety degrees in time domain
representation
□ B. Voltage lags current by exactly ninety degrees in time domain
representation
□ C. Voltage and current are perfectly in phase with each other at all times
☑ D. Voltage leads current by ninety degrees with current lagging behind
voltage
, Rationale: In an inductor, voltage leads current by 90 degrees (V = L di/dt),
so voltage reaches its peak before current does.
2. When converting a time-domain sinusoidal voltage expression v(t) = 50
cos(200t + 30°) into its corresponding phasor representation, what is the
correct phasor form?
□ A. 50∠30° with frequency information preserved separately
□ B. 50∠-30° with frequency information preserved separately
☑ C. 50∠30° with frequency information dropped from phasor notation
□ D. 50∠-30° with frequency information dropped from phasor notation
Rationale: The phasor magnitude is the peak amplitude (50) and the angle is
the phase (30°); frequency is implicit in phasor domain.
3. A series RLC circuit has R = 10 Ω, L = 2 mH, and C = 5 μF. At what angular
frequency does the circuit exhibit unity power factor operation?
□ A. 5000 rad/s
☑ B. 10000 rad/s
□ C. 20000 rad/s
□ D. 50000 rad/s
, Rationale: Unity power factor occurs at resonance where ω₀ = 1/√(LC) = 1/
√(2×10⁻³ × 5×10⁻⁶) = 10000 rad/s.
4. Which of the following statements correctly describes the impedance of a
capacitor in the sinusoidal steady state as frequency increases toward
infinity?
□ A. The impedance magnitude increases linearly with increasing frequency
□ B. The impedance magnitude remains constant regardless of frequency
changes
☑ C. The impedance magnitude decreases toward zero as frequency
increases
□ D. The impedance magnitude increases toward infinity as frequency
increases
Rationale: Capacitor impedance is Z_C = 1/(jωC), so as ω → ∞, |Z_C| → 0.
5. In performing nodal analysis on an AC circuit containing complex
impedances, which approach correctly handles the admittance form of
circuit equations?
□ A. Convert all impedances to admittances and solve using conductance
elements
2. Impedance and admittance combinations in series, parallel, and delta-wye
configurations
3. Nodal and mesh analysis applied to AC circuits with complex impedances
4. Superposition theorem, Thevenin's theorem, and Norton's theorem in AC
domain
5. Power calculations including real, reactive, apparent power, and power
factor correction
6. RMS values, average values, and form factor for periodic waveforms
7. Three-phase circuits including balanced wye and delta connections and
power measurement
8. Frequency response, resonance in series and parallel RLC circuits, and
quality factor
, 9. Magnetically coupled circuits, mutual inductance, and ideal transformer
analysis
10. Transient analysis of first-order and second-order circuits with DC sources
and initial conditions
EEE 334 Circuits II Midterm Exam
1. In a sinusoidal steady-state analysis of a circuit containing a resistor and
inductor in series, which statement correctly describes the phase
relationship between the voltage across the inductor and the current
through it?
□ A. Voltage leads current by exactly ninety degrees in time domain
representation
□ B. Voltage lags current by exactly ninety degrees in time domain
representation
□ C. Voltage and current are perfectly in phase with each other at all times
☑ D. Voltage leads current by ninety degrees with current lagging behind
voltage
, Rationale: In an inductor, voltage leads current by 90 degrees (V = L di/dt),
so voltage reaches its peak before current does.
2. When converting a time-domain sinusoidal voltage expression v(t) = 50
cos(200t + 30°) into its corresponding phasor representation, what is the
correct phasor form?
□ A. 50∠30° with frequency information preserved separately
□ B. 50∠-30° with frequency information preserved separately
☑ C. 50∠30° with frequency information dropped from phasor notation
□ D. 50∠-30° with frequency information dropped from phasor notation
Rationale: The phasor magnitude is the peak amplitude (50) and the angle is
the phase (30°); frequency is implicit in phasor domain.
3. A series RLC circuit has R = 10 Ω, L = 2 mH, and C = 5 μF. At what angular
frequency does the circuit exhibit unity power factor operation?
□ A. 5000 rad/s
☑ B. 10000 rad/s
□ C. 20000 rad/s
□ D. 50000 rad/s
, Rationale: Unity power factor occurs at resonance where ω₀ = 1/√(LC) = 1/
√(2×10⁻³ × 5×10⁻⁶) = 10000 rad/s.
4. Which of the following statements correctly describes the impedance of a
capacitor in the sinusoidal steady state as frequency increases toward
infinity?
□ A. The impedance magnitude increases linearly with increasing frequency
□ B. The impedance magnitude remains constant regardless of frequency
changes
☑ C. The impedance magnitude decreases toward zero as frequency
increases
□ D. The impedance magnitude increases toward infinity as frequency
increases
Rationale: Capacitor impedance is Z_C = 1/(jωC), so as ω → ∞, |Z_C| → 0.
5. In performing nodal analysis on an AC circuit containing complex
impedances, which approach correctly handles the admittance form of
circuit equations?
□ A. Convert all impedances to admittances and solve using conductance
