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Basic Electric Circuits Questions and Answers

The answers have been provided towards the end of these questions:

  1. If a current of 10 A flowing for 2 minutes, find the quantity of electricity transferred.
  2. A mass of 5000 g is accelerated at 2 m/s2 by a force. Determine the force required.
  3. A typical 12 V automobile battery, storing about 5 megajoules (MJ) of energy, is connected to a 4 A headlight system. (a) Find the power delivered to the headlight system (b) Calculate the energy consumed in 1 hour of operation (c) Express the auto-battery capacity in ampere-hours (Ah) and compute how long the headlight system can be operated before the battery is completely discharged.
  4. A mass of 1000 kg is raised through a height of 10 m in 20 s. Calculate:(a) The work done (b) The power developed.
  5. Find the conductance of a conductor of resistance 100 ꭥ
  6. A source of e.m.f of 10 V supplies a current of 3 A for 10 minutes. How much energy is provided in this amount of time?
  7. An electric heater consumes 1.8 MJ when connected to a 250 V supply for 30 minutes. Find the power rating of the heater and the current taken from the supply.
  8. If a current of 20 A flows for 10 minutes find the quantity of electricity transferred.
  9. The current flowing through a resistor is 0.8 A when a voltage of 200 V is applied. Calculate the value of the resistance.
  10. A 100 V battery is connected across a resistor and causes a current of 5 mA to flow. Determine the resistance of the resistor. If the voltage is reduced to 25 V, what will be the new value of the current flowing?
Basic electric circuits questions and answers

Answers:

  1. Quantity of electricity Q =1200
  2. Force = 10 N
  3. (a) Power = 48 W, (b) assuming V & I remain constant, the energy consumed in 1 hour, W = 48 (60×60) = 172.8 x 103 J = 172.8 KJ, (c) hint 1 Ah =  = 3600 C, [ energy = VIt) but It = Q,  therefore, charge Q =  = J = 0.417 x 106 C, thus the auto-battery capacity is , without completely discharging the battery, the headlight system can be operated for   = 29
  4. (a) Work done = 98.1 KJ or 98.1 kNm, (b) Power = 4905 W or 4.905 KW
  5. Conductance (G) = 0.01 s
  6. Energy = VIt = 10 x 3 x (10 x 60) = 18000w or 18 KJ
  7. Power rating of the heater = 1 kW, current taken from the supply is 4 A
  8. Quantity of electricity Q = 2400 C
  9. Resistance (R) = 250 𝝮
  10. Resistance R = 20 k𝝮, current when the voltage is reduced to 25 V = 1.25 mA
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