#1. A resistor with a resistance of 2.2 kΩ is connected across a 12 V DC power supply. Determine the current flowing through the resistor.
#2. An electric motor operates at 240 V and draws a current of 5 A. Calculate the power consumed by the motor.
#3. A 330 Ω resistor is connected to a 9 V battery. Calculate the current through the resistor.
#4. A heating element draws 8 A from a 120 V source. Calculate the power dissipated.
#5. A 56 Ω resistor dissipates 200 W of power. Determine the current through the resistor.
#6. A resistor dissipates 750 W of power and has a resistance of 6 Ω. Determine the voltage across the resistor.
#7. A current of 4 A flows through a 20 Ω resistor. Calculate the power dissipated by the resistor.
#8. A 1.5 kΩ resistor is connected to a 30 V source. Calculate the current.
#9. An LED operates at 2 V with 20 mA current. Calculate the power consumed.
#10. A toaster draws 10 A from a 120 V outlet. What is its resistance?
#11. Three resistors with values of 15 Ω, 30 Ω, and 45 Ω are connected in series. Determine the total equivalent resistance.
#12. Two resistors, 18 Ω and 9 Ω, are connected in parallel. What is the equivalent resistance of the combination?
#13. Four 100 Ω resistors are connected in parallel. Calculate the equivalent resistance.
#14. A circuit consists of a 20 Ω resistor in series with a parallel combination of two 40 Ω resistors. Calculate the total equivalent resistance.
#15. Three resistors with values of 8 Ω, 24 Ω, and 12 Ω are connected in parallel. Calculate the equivalent resistance.
#16. Two 47 Ω resistors in parallel are in series with a 33 Ω resistor. Calculate the total resistance.
#17. Six 120 Ω resistors are connected in parallel. What is the equivalent resistance?
#18. A 100 Ω resistor is in series with a parallel combination of 200 Ω and 300 Ω. Calculate total resistance.
#19. At a junction in a DC circuit, three currents enter the node: I₁ = 4 A, I₂ = 6 A, and I₃ = 2 A. According to Kirchhoff’s Current Law, what is the total current leaving the node?
#20. In a series DC circuit, a 36 V source supplies three resistors. The voltage drops across the first two resistors are 12 V and 15 V. Using Kirchhoff’s Voltage Law, determine the voltage drop across the third resistor.
#21. Two currents enter a node: I₁ = 7 A and I₂ = 3 A. Two currents leave the node: I₃ = 5 A and I₄. Find I₄.
#22. In a closed loop, the voltage sources are 24 V and 12 V (opposing). If R₁ = 4 Ω and R₂ = 8 Ω, find the current.
#23. Three voltage drops in a series circuit are 5 V, 8 V, and V₃. If the source is 20 V, find V₃.
#24. A voltage divider circuit consists of two resistors, R₁ = 4 kΩ and R₂ = 6 kΩ, connected in series across a 20 V source. Determine the voltage across R₂.
#25. In a current divider circuit, a total current of 15 A flows into a parallel combination of two resistors, R₁ = 6 Ω and R₂ = 12 Ω. Determine the current through R₂.
#26. A voltage divider has R₁ = 2.2 kΩ and R₂ = 4.7 kΩ connected to a 12 V source. Calculate the voltage across R₁.
#27. A 24 V source feeds R₁ = 3 kΩ and R₂ = 5 kΩ in series. What is the voltage across R₂?
#28. In a current divider, 20 A splits between 10 Ω and 40 Ω parallel resistors. Find the current through the 10 Ω resistor.
#29. Three capacitors with values of 20 µF, 30 µF, and 50 µF are connected in parallel. Determine the total equivalent capacitance.
#30. Two 200 µF capacitors are connected in series. What is the equivalent capacitance of the combination?
#31. A 220 µF capacitor is charged to 24 V. Calculate the energy stored in the capacitor.
#32. A parallel plate capacitor has a capacitance of 100 pF in air. If a dielectric with a constant of 5 is inserted, what is the new capacitance?
#33. Three capacitors of 10 µF, 20 µF, and 30 µF are connected in series. Calculate the equivalent capacitance.
#34. A 470 µF capacitor is charged to 15 V. Calculate the charge stored.
#35. Two capacitors, 15 µF and 45 µF, are in series. What is the equivalent capacitance?
#36. A 100 µF capacitor stores 0.2 J of energy. What is the voltage across it?
#37. Three inductors with values of 8 mH, 12 mH, and 20 mH are connected in series. Determine the total equivalent inductance.
#38. Two inductors, L₁ = 10 mH and L₂ = 15 mH, are connected in parallel with no mutual inductance. Calculate the equivalent inductance.
#39. An inductor with an inductance of 100 mH carries a current of 3 A. Calculate the energy stored in the inductor.
#40. A 50 mH inductor carries 2 A. What is the stored energy?
#41. Three 30 mH inductors are connected in parallel. What is the equivalent inductance?
#42. A 47 µF capacitor is connected to a 50 Hz AC source. Calculate the capacitive reactance.
#43. An inductor with an inductance of 0.2 H is connected to a 60 Hz AC power supply. Determine the inductive reactance.
#44. A 220 µF capacitor is connected to a 60 Hz source. What is the capacitive reactance?
#45. A 0.5 H inductor is connected to a 100 Hz source. Calculate the inductive reactance.
#46. What is the capacitive reactance of a 10 µF capacitor at 400 Hz?
#47. An 80 mH inductor operates at 50 Hz. Calculate its inductive reactance.
#48. A series RL circuit has a resistance of 40 Ω and an inductive reactance of 30 Ω. Calculate the impedance of the circuit.
#49. A series RC circuit consists of an 80 Ω resistor and a capacitor with a capacitive reactance of 60 Ω. Determine the impedance of the circuit.
#50. A series RLC circuit has R = 15 Ω, X_L = 25 Ω, and X_C = 10 Ω. Calculate the total impedance of the circuit.
#51. A series RL circuit has R = 24 Ω and X_L = 32 Ω. Calculate the impedance.
#52. A series RC circuit has R = 60 Ω and Xc = 80 Ω. What is the impedance?
#53. An RLC series circuit has R = 30 Ω, XL = 50 Ω, and XC = 30 Ω. Calculate impedance.
#54. An AC circuit has an impedance of 100 Ω and a resistance of 60 Ω. Determine the power factor of the circuit.
#55. An AC circuit operates at 120 V (rms) with a current of 5 A (rms) and a power factor of 0.9. Calculate the real power consumed.
#56. A load consumes 2400 W of real power with a power factor of 0.8. Calculate the apparent power.
#57. A single-phase AC system has an apparent power of 15 kVA and operates at a power factor of 0.6 lagging. Calculate the reactive power.
#58. An AC circuit has a real power of 4000 W and a reactive power of 3000 VAR. Calculate the apparent power.
#59. A motor draws 10 kW at 0.85 power factor. What is the apparent power?
#60. A load has S = 20 kVA at pf = 0.75 lagging. Calculate the reactive power.
#61. An AC circuit operates with a power factor of 0.8 lagging. Calculate the phase angle between voltage and current.
#62. An LC circuit consists of a 20 mH inductor and a 50 µF capacitor. Calculate the resonant frequency of the circuit.
#63. A series RLC circuit has L = 50 mH, C = 20 µF, and R = 20 Ω. Calculate the quality factor (Q) of the circuit.
#64. A series RLC with R = 50 Ω is at resonance. What is the impedance?
#65. At resonance in a parallel RLC circuit, the impedance is:
#66. A series RL circuit has a resistance of 60 Ω and an inductive reactance of 60 Ω. Calculate the phase angle between the voltage and current.
#67. A series RC circuit has a resistance of 40 Ω and a capacitive reactance of 30 Ω. Determine the phase angle by which the current leads the voltage.
#68. In a purely capacitive circuit, the current leads voltage by:
#69. In a purely inductive circuit, the current lags voltage by:
#70. A circuit consists of a 22 kΩ resistor in series with a 10 µF capacitor. Calculate the time constant of the circuit.
#71. An RL circuit has an inductance of 500 mH and a resistance of 250 Ω. Determine the time constant of the circuit.
#72. A capacitor is being charged through a resistor from a 50 V DC source. What is the voltage across the capacitor after one time constant?
#73. An RC circuit has R = 100 kΩ and C = 47 µF. Calculate the time constant.
#74. In how many time constants does a capacitor charge to approximately 99% of the source voltage?
#75. A circuit has a Thevenin equivalent voltage of 18 V and a Thevenin equivalent resistance of 6 Ω. What is the maximum power that can be delivered to a load?
#76. A 60 V voltage source is in series with a 15 Ω resistor. Determine the Norton equivalent current.
#77. For maximum power transfer, if source impedance is 75 Ω, the load impedance should be:
#78. In a balanced Wheatstone bridge, R₁ = 200 Ω, R₂ = 400 Ω, and R₃ = 250 Ω. Determine Rx.
#79. A household AC outlet provides 240 V rms. Calculate the peak voltage.
#80. An AC signal has a peak voltage of 141 V. What is the peak-to-peak voltage?
#81. An AC voltage of 50 V rms is applied across a 25 Ω resistor. Calculate the average power dissipated.
#82. An AC waveform has a period of 16.67 ms. Calculate its frequency.
#83. Calculate the angular frequency of a 50 Hz AC signal.
#84. A step-down transformer has 400 turns in the primary and 80 turns in the secondary. If the primary voltage is 200 V, determine the secondary voltage.
#85. An ideal transformer has 300 turns in the primary and 100 turns in the secondary. If the primary current is 5 A, calculate the secondary current.
#86. A transformer has a primary voltage of 480 V and a secondary voltage of 120 V. Determine the turns ratio (primary to secondary).
#87. A transformer has core losses of 150 W at full load. What are the core losses at half load?
#88. A transformer has copper losses of 200 W at full load. What are the copper losses at half load?
#89. A 10 kVA transformer delivers 9.5 kW at full load. If losses are 500 W, what is the efficiency?
#90. A uniform magnetic field of 0.8 T passes perpendicularly through a rectangular loop with an area of 0.05 m². Calculate the magnetic flux through the loop.
#91. A coil with 50 turns experiences a change in magnetic flux of 0.02 Wb in 0.05 seconds. Calculate the magnitude of the induced EMF.
#92. A straight conductor of length 0.4 m carries a current of 15 A perpendicular to a magnetic field of 0.6 T. Calculate the force on the conductor.
#93. A solenoid has 600 turns, a length of 0.3 m, and carries a current of 3 A. Calculate the magnetic field inside the solenoid. (μ₀ = 4π × 10⁻⁷ H/m)
#94. A motor draws 4000 W of electrical power and produces 3400 W of mechanical output power. Calculate the efficiency of the motor.
#95. A DC motor produces 2000 W of mechanical power at a rotational speed of 1200 rpm. Calculate the torque developed by the motor.
#96. A 4-pole AC induction motor is connected to a 50 Hz power supply. Calculate the synchronous speed of the motor.
#97. A 4-pole induction motor operates at a synchronous speed of 1500 rpm. If the rotor speed is 1425 rpm, calculate the slip of the motor.
#98. A DC motor is connected to a 100 V supply. The armature resistance is 1 Ω and the armature current is 8 A. Calculate the back EMF of the motor.
#99. A 6-pole AC generator rotates at 1000 rpm. Calculate the frequency of the generated voltage.
#100. A three-phase Y-connected generator has a phase voltage of 220 V. Calculate the line voltage.
