4.16.5

Energy in Transformers

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High-Voltage Transmission and Transformers

Electricity is generated at voltages of around 15,000 V. It is transmitted at 400,000 V before a transformer is then used to decrease the voltage to 230 V to be used in plug sockets in homes.

Long distances

Long distances

  • Transformers are used to increase the voltage of electricity, so it can be transmitted long distances through cables.
  • A step-up transformer is used to increase the voltage to around 400,000 V to be transmitted long distances.
  • Transmitting electricity at high voltages reduces the energy that is lost as heat due to the resistance of the cables.

Important Equations

I<sub>p</sub>V<sub>p</sub> = I<sub>s</sub>V<sub>s</sub>

IpVp = IsVs

  • In electricity transmission, energy is carried from power stations to homes through long cables.
  • A transformer is used to step up the voltage before transmission.
    • which means power in the primary = power in the secondary (ignoring losses).
  • If the voltage is increased at the secondary, the current in the secondary must decrease to keep the same power transmitted.
  • Example: To transmit 1000 W, using 10 V would require 100 A, but using 1000 V requires only 1 A.
P<sub>loss</sub> = I<sup>2</sup>R

Ploss = I2R

  • Power lost in transmission cables is due to the resistance of the wires.
  • This means power loss depends on the square of the current and the resistance of the cable.
  • When the current is large, I2R becomes very large, so significant energy is wasted as heat in the cables.
  • By transmitting at a high voltage, the current is reduced, so the I2R losses become very small.
  • At the receiving end, transformers step the voltage down again to safe levels (e.g. 230 V for homes).
  • This method ensures efficient energy transfer with minimal losses in long-distance power distribution systems.
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Simple Phenomena of Magnetism

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Electrical Energy & Electrical Power

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Force on a Current-Carrying Conductor

4.15

Electromagnetic Effects: The D.C. Motor

4.16

Electromagnetic Effects: The Transformer

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