1. The voltage divider rule is used to calculate the voltage across a resistor in a series circuit. The voltage across a resistor is proportional to:
A. The current through the resistor
B. The resistance of the resistor
C. The total voltage of the circuit
D. The total current of the circuit
Answer: B. The resistance of the resistor
2. In a voltage divider circuit with two resistors R1R_1 and R2R_2, if R1=2 ΩR_1 = 2 \, \Omega and R2=4 ΩR_2 = 4 \, \Omega, and the total input voltage is Vin=12 VV_{in} = 12 \, V, the voltage across R2R_2 will be:
A. 4 V
B. 6 V
C. 8 V
D. 12 V
Answer: B. 6 V
3. In a voltage divider circuit, if the resistances are R1=3 ΩR_1 = 3 \, \Omega and R2=3 ΩR_2 = 3 \, \Omega, and the input voltage is 9 V, what is the voltage across R1R_1?
A. 3 V
B. 4.5 V
C. 6 V
D. 9 V
Answer: B. 4.5 V
4. In a voltage divider, if the total input voltage is VinV_{in} and the resistors are R1R_1 and R2R_2, the voltage across R1R_1 is given by:
A. VR1=R1R1+R2×VinV_{R_1} = \frac{R_1}{R_1 + R_2} \times V_{in}
B. VR1=R2R1+R2×VinV_{R_1} = \frac{R_2}{R_1 + R_2} \times V_{in}
C. VR1=R1×VinV_{R_1} = R_1 \times V_{in}
D. VR1=R1R2×VinV_{R_1} = \frac{R_1}{R_2} \times V_{in}
Answer: A. VR1=R1R1+R2×VinV_{R_1} = \frac{R_1}{R_1 + R_2} \times V_{in}
5. Which of the following is true for a voltage divider circuit?
A. The voltage is divided equally among all components
B. The voltage across each resistor is proportional to its resistance
C. The voltage divider rule applies only in parallel circuits
D. The voltage is always divided by the current in the circuit
Answer: B. The voltage across each resistor is proportional to its resistance
6. The current divider rule is used to calculate the current through a resistor in a parallel circuit. The current through a resistor is inversely proportional to:
A. The total current of the circuit
B. The resistance of the resistor
C. The total voltage across the circuit
D. The total resistance of the circuit
Answer: B. The resistance of the resistor
7. In a current divider circuit with two resistors R1R_1 and R2R_2, if R1=4 ΩR_1 = 4 \, \Omega and R2=2 ΩR_2 = 2 \, \Omega, and the total current is Itotal=6 AI_{total} = 6 \, A, the current through R1R_1 will be:
A. 2 A
B. 3 A
C. 4 A
D. 5 A
Answer: A. 2 A
8. In a current divider, if the resistances are R1=6 ΩR_1 = 6 \, \Omega and R2=3 ΩR_2 = 3 \, \Omega, and the total current is 12 A, what is the current through R2R_2?
A. 3 A
B. 4 A
C. 6 A
D. 8 A
Answer: B. 4 A
9. The current through a resistor in a parallel circuit is given by the formula:
A. IR1=R1R1+R2×ItotalI_{R_1} = \frac{R_1}{R_1 + R_2} \times I_{total}
B. IR1=R2R1+R2×ItotalI_{R_1} = \frac{R_2}{R_1 + R_2} \times I_{total}
C. IR1=R1+R2R1×ItotalI_{R_1} = \frac{R_1 + R_2}{R_1} \times I_{total}
D. IR1=R1R2×ItotalI_{R_1} = \frac{R_1}{R_2} \times I_{total}
Answer: B. IR1=R2R1+R2×ItotalI_{R_1} = \frac{R_2}{R_1 + R_2} \times I_{total}
10. In a parallel circuit, if R1=2 ΩR_1 = 2 \, \Omega and R2=2 ΩR_2 = 2 \, \Omega, and the total current is 10 A, the current through R1R_1 will be:
A. 2 A
B. 5 A
C. 10 A
D. 4 A
Answer: B. 5 A
11. Which of the following is true for a voltage divider and a current divider?
A. Both divide current
B. The voltage divider divides voltage proportionally to resistance, while the current divider divides current inversely to resistance
C. Both divide voltage
D. The voltage divider divides current inversely to resistance, while the current divider divides current proportionally to resistance
Answer: B. The voltage divider divides voltage proportionally to resistance, while the current divider divides current inversely to resistance
12. In a current divider, if the total current is 10 A, and the resistances of two parallel resistors are R1=2 ΩR_1 = 2 \, \Omega and R2=4 ΩR_2 = 4 \, \Omega, the current through R1R_1 will be:
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Answer: B. 4 A
13. Which of the following statements about voltage and current dividers is correct?
A. The voltage divider applies only to parallel circuits, while the current divider applies to series circuits
B. The current divider applies to parallel circuits, while the voltage divider applies to series circuits
C. The voltage divider applies to both series and parallel circuits equally
D. Both voltage and current dividers are used only in AC circuits
Answer: B. The current divider applies to parallel circuits, while the voltage divider applies to series circuits