BEE Fundamental Circuit Analysis 2 — Questions and Answers
Question 1: A current source of 5 A is connected in parallel with a 10 Ω resistor. What is the voltage across the resistor?
- 50 V (Correct answer)
- 0.5 V
- 2 V
- 25 V
Correct answer: 50 V
Using Ohm's law, V = I × R = 5 A × 10 Ω = 50 V.
Question 2: Which theorem states that any linear two-terminal network can be replaced by an equivalent voltage source in series with an impedance?
- Norton's Theorem
- Thevenin's Theorem (Correct answer)
- Superposition Theorem
- Maximum Power Transfer Theorem
Correct answer: Thevenin's Theorem
Thevenin's Theorem replaces a complex linear network with a single voltage source (V_th) in series with a resistance (R_th).
Question 3: In a series RLC circuit at resonance, which statement is TRUE?
- Impedance is maximum
- Current is minimum
- Inductive reactance equals capacitive reactance (Correct answer)
- Power factor is zero
Correct answer: Inductive reactance equals capacitive reactance
At resonance, X_L = X_C, causing the imaginary parts to cancel and impedance to be purely resistive (minimum).
Question 4: Three resistors of 6 Ω, 3 Ω, and 2 Ω are connected in parallel. What is the equivalent resistance?
- 11 Ω
- 1 Ω (Correct answer)
- 3 Ω
- 0.5 Ω
Correct answer: 1 Ω
1/R_eq = 1/6 + 1/3 + 1/2 = 1/6 + 2/6 + 3/6 = 1, so R_eq = 1 Ω.
Question 5: According to the Superposition Theorem, when analyzing a circuit with multiple independent sources, you:
- Replace all sources with short circuits simultaneously
- Activate one source at a time, deactivating others by replacing voltage sources with short circuits and current sources with open circuits (Correct answer)
- Add all source values before solving
- Replace current sources with short circuits and voltage sources with open circuits
Correct answer: Activate one source at a time, deactivating others by replacing voltage sources with short circuits and current sources with open circuits
Superposition requires solving for each independent source alone, then summing all individual contributions.
Question 6: What is the time constant (τ) of a series RC circuit with R = 4.7 kΩ and C = 10 µF?
- 0.047 s
- 4.7 s
- 47 ms (Correct answer)
- 0.47 s
Correct answer: 47 ms
τ = RC = 4700 Ω × 10×10⁻⁶ F = 0.047 s = 47 ms.
Question 7: Kirchhoff's Voltage Law (KVL) is based on which fundamental principle?
- Conservation of charge
- Conservation of energy (Correct answer)
- Conservation of momentum
- Ohm's Law
Correct answer: Conservation of energy
KVL states that the algebraic sum of voltages around any closed loop is zero, reflecting conservation of energy.
A current source of 5 A is connected in parallel with a 10 Ω resistor.
What is the voltage across the resistor?