Series and parallel combinations of resistors - Question Bank

1. If a resistor R is split into N equal parts and all parts are connected in series, the equivalent resistance is:
A) R/N
B) R/(N^2)
C) (N^2)R
D) NR
2. If a resistor R is split into N equal parts and all parts are connected in parallel, the equivalent resistance is:
A) R/N
B) R/(N^2)
C) (N^2)R
D) NR
3. A fuse wire is always connected in _______ with the appliance it protects.
A) Parallel
B) Series
C) Across the load
D) Independent of the circuit
4. The equivalent resistance of two resistors in series is always:
A) The sum of their resistances
B) Less than the smallest resistance
C) Greater than the largest resistance
D) Equal to the product of their resistances
5. The equivalent resistance of two resistors in parallel is always:
A) The sum of their resistances
B) Less than the smallest resistance
C) Greater than the largest resistance
D) Equal to the product of their resistances
6. Which type of connection is preferred for heating elements to ensure uniform heating?
A) Series
B) Parallel
C) Series-parallel
D) Independent connection
7. If a 12V battery is connected across a parallel combination of 2Ω and 4Ω resistors, the total current drawn from the battery is:
A) 2A
B) 3A
C) 4A
D) 6A
8. If a 12V battery is connected across a series combination of 2Ω and 4Ω resistors, the current in the circuit is:
A) 2A
B) 3A
C) 4A
D) 6A
9. In a parallel circuit containing identical resistors, the current through each resistor is:
A) Unequal
B) Equal
C) Zero
D) Proportional to voltage
10. In a series circuit containing identical resistors, the voltage drop across each resistor is:
A) Unequal
B) Equal
C) Zero
D) Proportional to current
11. Three resistors 1Ω, 2Ω, and 3Ω are connected in series. The equivalent resistance is:
A) 0.55Ω
B) 1.00Ω
C) 2.00Ω
D) 6.00Ω
12. Three resistors 1Ω, 2Ω, and 3Ω are connected in parallel. The equivalent resistance is approximately:
A) 0.41Ω
B) 0.55Ω
C) 0.83Ω
D) 1.00Ω
13. If R1, R2, R3 are in parallel, 1/Req = 1/R1 + 1/R2 + 1/R3. This is derived from:
A) Kirchhoff's Voltage Law
B) Ohm's Law and Kirchhoff's Current Law
C) Kirchhoff's Voltage Law and Ohm's Law
D) Joule's Law
14. If R1, R2, R3 are in series, the equivalent resistance Req = R1 + R2 + R3. This is a direct application of:
A) Ohm's Law
B) Kirchhoff's Voltage Law
C) Kirchhoff's Current Law
D) Joule's Law
15. When resistors are connected in parallel, the total conductance is:
A) Less than the smallest individual conductance
B) Greater than the largest individual conductance
C) Equal to the smallest individual conductance
D) The reciprocal of the sum of individual conductances
16. When resistors are connected in series, the total conductance is:
A) Greater than the largest individual conductance
B) Less than the smallest individual conductance
C) Equal to the sum of individual conductances
D) The reciprocal of the sum of individual conductances
17. A combination of resistors where some are in series and some are in parallel is called a:
A) Series circuit
B) Parallel circuit
C) Mixed or complex circuit
D) Simple circuit
18. If a circuit path has infinite resistance, it is considered an:
A) Short circuit
B) Closed circuit
C) Open circuit
D) Conductive path
19. If a resistor has zero resistance, it is considered a:
A) Open circuit
B) Short circuit
C) Insulator
D) Semiconductor
20. An ammeter is always connected in _______ with the component through which the current is to be measured.
A) Parallel
B) Series
C) Combination
D) Isolation
21. A voltmeter is always connected in _______ with the component across which the voltage is to be measured.
A) Series
B) Parallel
C) Combination
D) Isolation
22. What is the unit of electrical resistance?
A) Volt
B) Ampere
C) Ohm
D) Watt
23. In a parallel circuit, the current through individual resistors divides in proportion to their:
A) Resistance
B) Conductance
C) Voltage
D) Power
24. In a series circuit, the voltage across individual resistors divides in proportion to their:
A) Resistance
B) Conductance
C) Current
D) Power
25. Consider a circuit with two resistors, R1 = 5Ω and R2 = 15Ω, connected in parallel. If the total current entering the parallel combination is 2A, what is the current through R2?
A) 0.5A
B) 1A
C) 1.5A
D) 2A
26. Consider a circuit with two resistors, R1 = 5Ω and R2 = 15Ω, connected in parallel. If the total current entering the parallel combination is 2A, what is the current through R1?
A) 0.5A
B) 1A
C) 1.5A
D) 2A
27. A wire of resistance R is cut into two equal halves. These halves are then connected in series. The new resistance is:
A) R/4
B) R/2
C) R
D) 2R
28. A wire of resistance R is cut into two equal halves. These halves are then connected in parallel. The new resistance is:
A) R/4
B) R/2
C) R
D) 2R
29. For a parallel circuit with a fixed voltage source, the power dissipated is maximum in the resistor with:
A) Maximum resistance
B) Minimum resistance
C) Average resistance
D) Zero resistance
30. For a series circuit, the power dissipated is maximum when:
A) Resistance is minimum
B) Resistance is maximum
C) Current is maximum
D) Voltage is maximum
31. Kirchhoff's current law is primarily applied to analyze circuits with:
A) Series combinations
B) Parallel combinations
C) Single resistors
D) Open circuits
32. Kirchhoff's voltage law is primarily applied to analyze circuits with:
A) Parallel combinations
B) Series combinations
C) Series and parallel combinations
D) Single resistors
33. If a battery is connected to resistors in parallel, the potential difference across each parallel branch is:
A) Equal to the battery voltage
B) Less than the battery voltage
C) More than the battery voltage
D) Zero
34. If a battery is connected to resistors in series, the total potential drop across all resistors is:
A) Equal to the battery voltage
B) Less than the battery voltage
C) More than the battery voltage
D) Zero
35. A 10Ω resistor and a 20Ω resistor are connected in parallel. What is the equivalent resistance?
A) 6.67Ω
B) 10Ω
C) 20Ω
D) 30Ω
36. A 10Ω resistor and a 20Ω resistor are connected in series. What is the equivalent resistance?
A) 6.67Ω
B) 10Ω
C) 20Ω
D) 30Ω
37. Which combination of resistors is typically used to increase the total current capacity of a circuit?
A) Series combination
B) Parallel combination
C) Series-parallel combination
D) No combination
38. Which combination of resistors is typically used to increase the overall voltage delivered by a power source?
A) Parallel combination
B) Series combination
C) Series-parallel combination
D) No combination
39. In a parallel circuit, if one branch is opened, the current:
A) Flows through all branches
B) Stops flowing in all branches
C) Continues to flow in the other branches
D) Increases in the other branches
40. In a series circuit, if one resistor is removed or breaks, the circuit becomes:
A) Short-circuited
B) Open-circuited
C) Still complete
D) Conducts more current
41. If n identical resistors each of resistance R are connected in parallel, the equivalent resistance is:
A) R/n
B) R
C) nR
D) n^2 R
42. If n identical resistors each of resistance R are connected in series, the equivalent resistance is:
A) R/n
B) R
C) nR
D) n^2 R
43. Consider three resistors 2Ω, 3Ω, and 5Ω. If they are connected in parallel, the total resistance will be:
A) 1Ω
B) 1.85Ω
C) 2.5Ω
D) 10Ω
44. Consider three resistors 2Ω, 3Ω, and 5Ω. If they are connected in series, the total resistance will be:
A) 1Ω
B) 5Ω
C) 10Ω
D) 30Ω
45. In a parallel combination of resistors, the voltage across each resistor is:
A) Different
B) The same
C) Zero
D) Dependent on the current through each resistor
46. In a series combination of resistors, the current flowing through each resistor is:
A) Different
B) The same
C) Zero
D) Dependent on the voltage across each resistor
47. If two resistors of resistance R1 and R2 are connected in parallel, their equivalent resistance Req is given by:
A) Req = R1 + R2
B) 1/Req = 1/R1 + 1/R2
C) Req = R1 * R2
D) Req = R1 / R2
48. If two resistors of resistance R1 and R2 are connected in series, their equivalent resistance Req is given by:
A) Req = R1 + R2
B) 1/Req = 1/R1 + 1/R2
C) Req = (R1 * R2) / (R1 + R2)
D) Req = R1 * R2
49. When resistors are connected in parallel, the total resistance is:
A) Less than the smallest individual resistance
B) Equal to the smallest individual resistance
C) Greater than the largest individual resistance
D) The average of the individual resistances
50. When resistors are connected in series, the total resistance is:
A) Less than the smallest individual resistance
B) Equal to the smallest individual resistance
C) Greater than the largest individual resistance
D) The average of the individual resistances