General Physics II — 2025A Past Questions

University of Ilorin PHY102: 141 questions.

Topics: Capacitance, Ohm's law and analysis of DC circuits, Coulomb's law and superposition, Electric field and potential, Lorentz force, Current, voltage and resistance, Magnetic fields, Energy in electric fields, Gauss's law, Biot-Savart and Ampère's laws, Electric dipoles, Electric charge and its properties

1. A pair of equal but opposite charges separated by a distance is called?
   1. Electric field
   2. Magnetic dipole
   3. Electric dipole
   4. Polarization
2. If the distance between two charges is halved, how is the electric field affected?
   1. It doubles
   2. It becomes four times stronger
   3. It is halved
   4. It remains the same
3. If two unit charges are separated in air by a distance of 1m, the force exerted between them is? (k = 9 × 10⁹ N m²/C²)
   1. 9 × 10⁹ N
   2. 1 N
   3. 10⁹ N
   4. 1.5 × 10⁸ N
4. Magnetic field is what quantity?
   1. Scalar quantity
   2. Vector quantity
   3. Constant quantity
   4. Derived quantity
5. Sum of potential differences round any closed loop in a circuit must be zero. This is called?
   1. Kirchhoff's voltage law
   2. Ohm's law
   3. Ampere's law
   4. Newton's law
6. Determine the charge on each plate of a 0.050 μF capacitor when the potential difference is 200 V.
   1. 1.0 × 10⁻⁵ C
   2. 2.5 × 10⁻⁵ C
   3. 1.0 × 10⁻² C
   4. 3.0 × 10⁻⁶ C
7. Calculate the resistance per unit length of a wire with diameter 0.4 mm and resistivity ρ = 4.7 × 10⁻⁵ Ω·m.
   1. 37.4 Ω/m
   2. 15.6 Ω/m
   3. 4.7 Ω/m
   4. 5.2 Ω/m
8. The factors affecting the capacitance of a capacitor are?
   1. Area, dielectric constant, distance of separation
   2. Temperature, wire length, voltage
   3. Plate thickness, temperature, wire length
   4. Material, wire gauge, temperature
9. Calculate the force on a current-carrying wire in a magnetic field, given B = 5 T, l = 100 cm, I = 4 A, and θ = 30°.
   1. 10 N
   2. 5 N
   3. 8.66 N
   4. 20 N
10. Calculate the force on a current-carrying wire in a magnetic field, given B = 0.5 T, I = 5 A, and l = 200 cm, assuming the wire is perpendicular to the field.
    1. 5 N
    2. 2.5 N
    3. 1 N
    4. 10 N
11. Calculate the electrical energy and power for a circuit with R = 11 Ω, potential difference = 220 V, and time t = 2 s.
    1. 8.8 kJ, 4.4 kW
    2. 4.4 kJ, 8.8 kW
    3. 2.2 kJ, 8.2 kW
    4. 8.5 kJ, 4.4 kW
12. Given plate area A = 2 m², ε₀ = 8.85 × 10⁻¹² F/m, and separation d = 0.01 m, calculate the capacitance.
    1. 1.77 × 10⁻⁹ F
    2. 1.50 × 10⁻⁹ F
    3. 2.00 × 10⁻⁹ F
    4. 1.00 × 10⁻⁹ F
13. Given electric field E = 300 N/C and distance d = 0.01 m, calculate the potential difference.
    1. 3.0 V
    2. 30 V
    3. 0.003 V
    4. 3000 V
14. If two charges 4 μC and 6 μC are separated by distance 0.3 m, and the distance is doubled, what is the new magnitude of the force? (Assume k = 9 × 10⁹ N m²/C²)
    1. 1.2 N
    2. 0.3 N
    3. 0.6 N
    4. 2.4 N
15. The force on charge q due to another charge Q is represented by which formula? (in scalar form, with r as distance)
    1. F = k qQ / r²
    2. F = k qQ × r²
    3. F = (q + Q) / r
    4. F = (q − Q) / r²
16. The ratio of charge to potential difference across the plates of a capacitor is?
    1. Capacitance
    2. Resistance
    3. Inductance
    4. Voltage
17. Two resistors 16 Ω and 8 Ω are connected in series to a 12 V battery. What is the voltage across each resistor?
    1. 4 V and 8 V
    2. 8 V and 4 V
    3. 6 V and 6 V
    4. 10 V and 2 V
18. Two capacitors 3 μF and 6 μF are connected in series to a 400 V battery. What is the charge on each capacitor?
    1. 800 μC
    2. 1200 μC
    3. 400 μC
    4. 600 μC
19. Kirchhoff's current law states?
    1. Sum of currents entering a junction equals sum of currents leaving
    2. Voltage is directly proportional to current
    3. Force is equal to mass times acceleration
    4. Charge is conserved in a circuit
20. What direction will a positive charge move if it is placed near a positive electric field source?
    1. Away from the field source
    2. Towards the field source
    3. It remains stationary
    4. Random direction
21. What is the ratio of charge per unit time?
    1. Electric potential
    2. Electric current
    3. Electric field
    4. Electric charge
22. A voltage supply of 400 V is connected across capacitors of 3 μF and 6 μF in series. Calculate the energy stored in the 3 μF capacitor.
    1. 0.107 J
    2. 0.2 J
    3. 0.067 J
    4. 0.15 J
23. The law that gives the magnetic field generated by a constant electric current is?
    1. Ampere's law
    2. Coulomb's law
    3. Biot-Savart law
    4. Ohm's law
24. If two unit charges are separated in air by a distance of 1 m, the force exerted between them is? (k = 9 × 10⁹ N m²/C²)
    1. 9 × 10⁻¹⁹ N
    2. 10⁻⁹ N
    3. 9 × 10⁹ N
    4. 9 × 10⁻⁹ N
25. Calculate the resistance per meter length of constantan wire with resistivity 4.7 × 10⁻⁵ Ω·m and diameter 0.4 mm.
    1. 0.15 Ω/m
    2. 0.37 Ω/m
    3. 0.23 Ω/m
    4. 0.42 Ω/m
26. Calculate the angle between the field and a current-carrying wire of length 200 cm with current 5 A when placed in a magnetic field of 0.5 T, if the force is given as something? Wait, the question as written: 'Calculate the angle between the field of a current-carrying wire of length 200cm with a current 5A when placed in a magnetic field of 0.5T' but no force given. Perhaps it's from a previous context. Let's assume they want the angle for maximum force, but that's 90°. Without force, we can't calculate. Possibly it's a trick: the force is maximum when angle is 90°. Given options: 60°, 30°, 45°, 90°. If they assume perpendicular, it's 90°. I'll go with 90°.
    1. 60°
    2. 30°
    3. 45°
    4. 90°
27. Charge per unit time that flows through a region is?
    1. Electric power
    2. Electric current
    3. Electric field
    4. Electric force
28. If two charges have a force of 5 N each? Actually, the question: 'If two charges have a force of 5N each, if the distance is halved, what will be the new force?' Probably means the force between them is 5 N. If distance is halved, what is new force?
    1. 10 N
    2. 20 N
    3. 2.5 N
    4. 5 N
29. If the force between two charges is doubled, what will happen to the distance between them? (Assuming charges constant)
    1. It becomes halved
    2. It remains the same
    3. It becomes one-fourth of the original
    4. It becomes √(1/2) times the original
30. Magnetic field is?
    1. Vector quantity
    2. Scalar quantity
    3. Scalar vector (nonsense)
    4. Null
31. The amount of charge covering a small region in space such that its dimensions are negligible compared to the point of observation is?
    1. Electric charge
    2. Universal charge
    3. Dielectrics
    4. Point charge
32. If the distance between two charges is doubled, how does the electrostatic force between them change?
    1. It becomes four times weaker
    2. It becomes half as strong
    3. It becomes twice as strong
    4. It remains the same
33. The ratio of electric charge to the potential difference between or across the plates of a capacitor is called the?
    1. Capacitance of a capacitor
    2. Resistance of the capacitor
    3. Energy stored
    4. Potential difference
34. Calculate the electrical energy and power used by an electric heater of 11 Ω when the voltage source is 220 V AC for 2 seconds. (Duplicate of Q11, but with wording 'electrical charge and power'? Actually Q34: 'Calculate the electrical charge and power'? Let's see: 'Calculate the electrical charge and power used by an electric heater of 11Ω when the voltage source is 220V AC for 2 seconds.' They ask for charge and power, but energy? Possibly they mean energy and power. Charge would be Q = I*t, but that's not typical for a heater. I'll assume they mean energy and power, as in Q11. Given options same as Q11. So same answer: 8.8 kJ, 4.4 kW.
    1. 4.4 kJ, 8.8 kW
    2. 8.8 kJ, 4.4 kW
    3. 2.2 kJ, 8.2 kW
    4. 8.5 kJ, 4.4 kW
35. A parallel plate capacitor has a capacitance of 2.0 μF. If the plate area is 0.5 m² and ε₀ = 8.85 × 10⁻¹² F/m, what is the separation between the plates?
    1. 2.21 × 10⁻⁶ m
    2. 1.5 × 10⁻⁶ m
    3. 3.0 × 10⁻⁶ m
    4. 4.4 × 10⁻⁶ m
36. The electric field between the plates of a capacitor is 200 N/C and the distance between the plates is 0.02 m. What is the potential difference across the plates?
    1. 2 V
    2. 4 V
    3. 8 V
    4. 6 V
37. A parallel plate capacitor has a plate area of 2.0 m² and a separation of 0.01 m. If permittivity ε₀ = 8.85 × 10⁻¹² F/m, what is the capacitance of the capacitor? (Duplicate of Q12)
    1. 1.77 × 10⁻⁹ F
    2. 2.5 × 10⁻⁹ F
    3. 3.0 × 10⁻⁹ F
    4. 1.5 × 10⁻⁹ F
38. Charge per unit time that flows through a region? (Duplicate of Q27, Q21)
    1. Electric potential
    2. Electric current
    3. Electric field
    4. Resistance
39. Magnetic field that do not vary with time?
    1. Alternating magnetic field
    2. Magnetostatic field
    3. Transient magnetic field
    4. Oscillating field
40. Calculate the current in a 10 m long straight wire placed in a uniform magnetic field of 0.05 T with a force of 2.5 N, assuming the wire is perpendicular to the field.
    1. 2 A
    2. 3 A
    3. 4 A
    4. 5 A
41. Calculate the resistance per meter length of a constantan wire of diameter 0.4 mm and resistivity 4.70 × 10⁻⁵ Ω·m.
    1. 294 Ω/m
    2. 314 Ω/m
    3. 374 Ω/m
    4. 404 Ω/m
42. Two resistors 16.0 Ω and 8.0 Ω are connected in series across a 12.0 V battery. What is the voltage across each resistor? (Duplicate of Q17, but options are 4V & 8V, and 8V & 4V both present. Let's pick the correct order: Voltage across 16Ω is higher: 8V, and across 8Ω is 4V. So option with 8V and 4V is correct.
    1. 4.0 V and 8.0 V
    2. 6.0 V and 6.0 V
    3. 8.0 V and 4.0 V
    4. 10.0 V and 2.0 V
43. The law that gives the magnetic field generated by a constant electricity is? (Probably means constant electric current)
    1. Ohm's law
    2. Biot-Savart law
    3. Ampere's circuital law
    4. Faraday's law
44. Determine the charge of each plate of 0.050 μF capacitor when the potential difference between the plates is 200 V. (Duplicate of Q6)
    1. 0.001 C
    2. 0.01 C
    3. 0.005 C
    4. 0.01 C (duplicate option)
45. A capacitor stores charge of 5.0 × 10⁻⁶ C when the potential difference across its plates is 100 V. What is the capacitance of the capacitor?
    1. 5.0 × 10⁻⁸ F
    2. 5.0 × 10⁻⁷ F
    3. 5.0 × 10⁻⁶ F
    4. 5.0 × 10⁻⁵ F
46. The electric field between the plates of a capacitor is 200 N/C and the distance between the plates is 0.02 m. What is the potential difference across the plates? (Duplicate of Q36)
    1. 2 V
    2. 4 V
    3. 5 V
    4. 10 V
47. A spherical surface of radius 0.5 m encloses a charge of 2.0 C. What is the electric flux through the surface (ε₀ = 8.85 × 10⁻¹²)?
    1. 1.13 × 10¹¹ N m²/C
    2. 2.26 × 10¹¹ N m²/C
    3. 3.39 × 10¹¹ N m²/C
    4. 4.52 × 10¹¹ N m²/C
48. Calculate the distance between two charges -2.0 × 10⁻¹⁰ C and +3.0 × 10⁻⁶ C if the magnitude of the force of attraction is 15 N (k = 9 × 10⁹ N m²/C²).
    1. 2.0 × 10⁻² m
    2. 3.0 × 10⁻² m
    3. 4.0 × 10⁻² m
    4. 5.0 × 10⁻² m
49. What is Magnetostatic Field?
    1. Time-varying magnetic field
    2. Magnetic field due to moving charges
    3. Magnetic field in stationary condition
    4. Electric field created by magnets
50. If the distance between two charges is doubled, what happens to the electric potential energy?
    1. Halved
    2. Doubled
    3. Remains the same
    4. Quadrupled
51. Magnetic force is ________ quantity
    1. Scalar
    2. Partly scalar and partly vector
    3. Vector
    4. Fundamental
52. If the distance between two charges is halved, how does the electric potential energy change?
    1. It is doubled
    2. Remains the same
    3. It is halved
    4. It is quadrupled
53. Magnetic field is a
    1. Vector quantity
    2. Scalar quantity
    3. Null quantity
    4. Partly vector and partly scalar
54. The sum of the potential difference round any closed loop in a circuit must be equal to zero. This is called
    1. Ohm's law
    2. Kirchhoff's law
    3. Circuital law
    4. None of the options
55. What is the electric potential at a point 0.5 m away from a charge of +2 μC? (k = 9 × 10⁹ N m²/C²)
    1. 9,000 V
    2. 36,000 V
    3. 18,000 V
    4. 4,500 V
56. A spherical surface of radius 0.5 m encloses a charge Q = +2.0 μC. What is the electric flux through the surface? (ε₀ = 8.85 × 10⁻¹² C²/N m²)
    1. 2.26 × 10⁵ N m²/C
    2. 4.52 × 10⁵ N m²/C
    3. 1.13 × 10⁵ N m²/C
    4. 3.39 × 10⁵ N m²/C
57. Two point charges q₁ = 3 μC and q₂ = -2 μC are separated by a distance of 0.5 m. Find the electrostatic force between them. (k = 9 × 10⁹ N m²/C²)
    1. 0.2 N
    2. 0.4 N
    3. 0.6 N
    4. 0.8 N
58. If the distance between two charges is doubled, how does the electric field between them change?
    1. Remains the same
    2. Becomes half as strong
    3. Four times weaker
    4. Two times stronger
59. Calculate the capacitance between two parallel plates separated by paraffin wax of thickness 0.50 cm and plate area 80 cm². The dielectric constant of the wax is 2. (ε₀ = 8.85 × 10⁻¹² F/m)
    1. 2.8 × 10⁻¹² F
    2. 2.8 × 10⁻¹¹ F
    3. 2.8 × 10⁻¹⁰ F
    4. 2.8 × 10⁻⁹ F
60. Calculate the distance between Q₁ = -2 μC and Q₂ = 3 μC, if the electrostatic force between them is 15 N. (k = 9 × 10⁹ N m²/C²)
    1. 0.1 m
    2. 0.2 m
    3. 0.3 m
    4. 0.4 m
61. Calculate the total capacitance of C₁ = 3 μF and C₂ = 6 μF that are arranged in series.
    1. 9 μF
    2. None of the above
    3. 18 μF
    4. 2 μF
62. The ratio of electric charge to potential difference between or across the plates of a capacitor is called?
    1. Capacitance
    2. Resistance
    3. Inductance
    4. Conductance
63. Calculate the resistance per meter length of a constantan wire of diameter 0.4 mm. Resistivity = 4.7 × 10⁻⁵ Ω·m.
    1. 374 Ω/m
    2. 420 Ω/m
    3. 310 Ω/m
    4. 500 Ω/m
64. A capacitor has a plate separation of 0.07 m and an electric field of 300 N/C. What is the potential difference across the plates?
    1. 10.5 V
    2. 15 V
    3. 21 V
    4. 25.5 V
65. A capacitor has a capacitance of 10 microfarad and potential difference of 50 V. Find the charge.
    1. 0.0005 C
    2. 0.005 C
    3. 0.00005 C
    4. 0.05 C
66. Kirchhoff's current rule states that?
    1. The voltage in a closed loop is zero
    2. The current entering a junction equals the current leaving
    3. The current in a circuit depends on resistance
    4. The power is proportional to voltage
67. The study of magnetic field that doesn't vary with time is called?
    1. Magnetostatics
    2. Electrodynamics
    3. Electrostatics
    4. Electromagnetism
68. Two charges exert a force of 5 N on each other. What's the new force if the distance between them is halved?
    1. 2.5 N
    2. 10 N
    3. 20 N
    4. 40 N
69. Formula for electric field due to a point charge
    1. E = q/r²
    2. E = kq/r²
    3. E = k/rq²
    4. E = kr/q²
70. The amount of charge covering a small region in space such that its dimensions are negligible
    1. Point charge
    2. Electric dipole
    3. Electric field
    4. Potential difference
71. Find the electrical energy and power if R = 11 Ω, V = 220 V, and t = 2 s.
    1. 880 J, 440 W
    2. 220 J, 110 W
    3. 1200 J, 600 W
    4. 400 J, 200 W
72. Calculate the electrical energy and power used in an electric heater of 11 ohms when the voltage source is 220V AC for 2 seconds. (Duplicate of Q71, but with same options)
    1. 880 J, 440 W
    2. 500 J, 250 W
    3. 1100 J, 550 W
    4. 660 J, 330 W
73. A p.d of 24 V is applied to a network of resistors: 6 ohms and 12 ohms in parallel, connected in series with an 8 ohms resistance. Calculate the current in the 8 ohms resistor.
    1. 1 A
    2. 2 A
    3. 3 A
    4. 4 A
74. Two charges exert a force of 5 N on each other. Find the force if one of the charges is doubled while the distance remains unchanged.
    1. 20 N
    2. 10 N
    3. 5 N
    4. 15 N
75. The study of magnetic fields that do not vary with time
    1. Magnetic force
    2. Magnetic flux
    3. Magnetostatic field
    4. Electromagnetic wave
76. Two capacitors 3 μF and 6 μF connected in series with a voltage of 400 V. Calculate the energy stored in the 3 μF capacitor.
    1. 0.12 J
    2. 0.24 J
    3. 0.08 J
    4. 0.36 J
77. The magnetic field is a?
    1. Partly vector and partly scalar quantity
    2. Scalar quantity
    3. Vector quantity
    4. Null quantity
78. The ratio of electric charge to the potential difference between or across the plates of the capacitor is called the?
    1. Energy storage
    2. Resistance of the capacitor
    3. Capacitance of the capacitor
    4. Potential difference
79. Calculate the length of the current-carrying wire with a current of 5.0 A and a force of 5 N placed in a magnetic field of 0.5 T if the field is perpendicular to the wire.
    1. 120 cm
    2. 150 cm
    3. 250 cm
    4. 200 cm
80. Calculate the electrical energy and power used by an electric heater of 11 ohms when the voltage source is 220V for 2 seconds. (Duplicate of Q71/72)
    1. 880 J, 440 W
    2. 660 J, 330 W
    3. 760 J, 380 W
    4. 990 J, 495 W
81. Calculate the magnitude of the force acting on a current of 4 A with length 100 cm and magnetic flux density of 5.0 T at an angle of 30°.
    1. 10 N
    2. 5 N
    3. 8.66 N
    4. 6.0 N
82. Calculate electric flux if r = 0.5 m, Q = 2.0 microcoulomb, ε₀ = 8.85 × 10⁻¹².
    1. 2.26 × 10⁵ N m²/C
    2. 4.52 × 10⁵ N m²/C
    3. 1.13 × 10⁵ N m²/C
    4. 3.01 × 10⁵ N m²/C
83. A p.d of 24 V applied to the network of resistors 6 ohms and 12 ohms in parallel and connected in series with 8 ohms resistor. Calculate the current in the 8 ohms resistor. (Duplicate of Q73)
    1. 1.0 A
    2. 1.5 A
    3. 2.0 A
    4. 2.5 A
84. A voltage supply of 400 V is connected across capacitors of 3 μF and 6 μF. Calculate the energy stored in 3 μF. (Duplicate of Q76, but missing 'in series'? It says 'across capacitors of 3μF and 6μF' which could be series or parallel. Usually, if not specified, it might be series, as in previous. But let's assume series, as before.
    1. 0.12 J
    2. 0.24 J
    3. 0.08 J
    4. 0.36 J
85. Which of the following expressions correctly defines the magnitude of force on a charge q due to another charge Q?
    1. F = KqQ/r²
    2. F = KqQ/r³
    3. F = KqQ/r
    4. F = KQ/r²
86. Two resistors 16.0 ohms and 8.0 ohms are connected in series across a 12.0 V battery. What is the voltage across each resistor?
    1. 8 V and 4 V
    2. 6 V and 6 V
    3. 2 V and 10 V
    4. 8 V and 8 V
87. A capacitor has 10 nF and is charged to a potential difference of 5 V. What charge is stored in the capacitor?
    1. 50 μC
    2. 5 × 10⁻⁸ C
    3. 2 × 10⁻⁸ C
    4. 5 × 10⁻⁹ C
88. What are the three factors that affect the capacitance in a capacitor?
    1. Voltage, resistance, temperature
    2. Plate area, distance between plates, dielectric constant
    3. Charge, potential difference, energy
    4. Length, width, thickness
89. Calculate the magnitude of force experienced by a current wire of length 100 cm and current 2 amperes in a field of 0.5 Tesla, assuming perpendicular.
    1. 0.5 N
    2. 1.0 N
    3. 2.0 N
    4. 5.0 N
90. Given F = ?, L = 100 cm, I = 2 A, B = 0.5 T, what is the force? (Assume perpendicular)
    1. 0.5 N
    2. 1.0 N
    3. 2.0 N
    4. 4.0 N
91. Factors affecting the capacitance of a capacitor
    1. Voltage, resistance, area
    2. Plate area, distance, dielectric
    3. Frequency, material, temperature
    4. Thickness, length, capacitance
92. 16 Ω and 8 Ω resistors connected in series to a 12 V battery, what is the voltage across each?
    1. 4 V and 8 V
    2. 6 V and 6 V
    3. 8 V and 4 V
    4. 10 V and 2 V
93. R = 11 Ω, V = 220 V, t = 2 s. Find electrical energy and power
    1. 880 J, 440 W
    2. 960 J, 480 W
    3. 1100 J, 550 W
    4. 660 J, 330 W
94. The effective capacitance of 3 μF and 6 μF connected in series
    1. 2.0 μF
    2. 1.0 μF
    3. 4.5 μF
    4. 9.0 μF
95. P.d across a 3 μF capacitor when 3 μF and 6 μF are connected in series to a 400 V battery
    1. 100 V
    2. 200 V
    3. 300 V
    4. 267 V
96. C = 0.05 μF, V = 200 V, What is Q?
    1. 1.0 × 10⁻⁵ C
    2. 2.0 × 10⁻⁵ C
    3. 1.0 × 10⁻⁶ C
    4. 2.0 × 10⁻⁶ C
97. Resistors in series experience the same
    1. Voltage
    2. Power
    3. Current
    4. Resistance
98. Study of magnetic field that doesn't change with time
    1. Electromagnetic theory
    2. Electrostatics
    3. Magnetostatics
    4. Electrodynamics
99. ε₀ = 8.85 × 10⁻¹², Q = 2 × 10⁻⁶ C, r = 0.5 m. What is the electric flux?
    1. 2.26 × 10⁵ N m²/C
    2. 1.13 × 10⁵ N m²/C
    3. 4.52 × 10⁵ N m²/C
    4. 3.01 × 10⁵ N m²/C
100. If the force between two charges is 5 N, what will be the new force if one of the charges is doubled and the distance is constant?
     1. 5 N
     2. 10 N
     3. 15 N
     4. 20 N

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