Transformer Physics Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
A step-up transformer has 100100 turns on the primary coil and 500500 turns on the secondary coil. If the input voltage is 240ย V240 \text{ V}, what is the output voltage?

Solution

  1. 1
    Transformer equation: VsVp=NsNp\frac{V_s}{V_p} = \frac{N_s}{N_p}.
  2. 2
    Vs=Vpร—NsNp=240ร—500100=240ร—5=1200ย VV_s = V_p \times \frac{N_s}{N_p} = 240 \times \frac{500}{100} = 240 \times 5 = 1200 \text{ V}
  3. 3
    The turns ratio is 5:15:1, so the voltage is stepped up by a factor of 55.

Answer

Vs=1200ย VV_s = 1200 \text{ V}
A transformer changes AC voltage using electromagnetic induction between two coils. A step-up transformer has more secondary turns and increases voltage, while a step-down transformer decreases it.

About Transformer

A device that changes AC voltage using electromagnetic induction between two coils on a shared iron core.

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