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Monday, March 11, 2013

Electric Power



Power and Energy



  1. A 3 kW immersion heater is designed for use on 240 V mains. Find (a) the current taken from the mains, (b) the resistance of the heater, and (c) the energy used in 1 min,
  2. A 2 kW electric fire is designed for use on 250 V mains. What current does it take, and what is its resistance in use?
  3.  Question 1 asks `what is its resistance IN USE', Explain why the last two words have been added.
  4.  How much energy is stored in a 12 V car battery of capacity 38 A h ? (ie it is capable of delivering 38A for 1 hour before it is flat)
  5.  A current of 2 A flows through a resistor of 10 Ω for 2 min, how much energy is used?
  6. How many lamps marked 175 W 240 V could be used in a circuit fitted with a 5 A fuse if they are connected in parallel? (Remember all components in parallel have the same voltage)
  7. An immersion heater marked 3 kW is designed for use on 240 V. If its resistance remains constant, what is its power if connected to a 200 V supply?
  8. A fire of resistance 30 Ω is connected to a 240 V supply by (a) cables of negligible resistance, (b) cables of total resistance 2 Ω. Find the power consumed by the fire in each case.
  9. A 60 W heater is to be made from manganin wire with a resistance of 3.75 ohms per metre. What length of wire is needed if the heater is to operate on a 12 V supply?



Extra


Find the power wasted in the cables when 120 kW is supplied through cables of resistance 0.2 Ω (a) at 240 V, (b) at 200 000 V.

( Hint answer for (a) is 50 kW, and (b) is much smaller !)