Question

# The generator at a power plant produces $A C$ at 24,000 V. A transformer steps this up to $345,000 \mathrm{~V}$ for transmission over power lines. If there are 2,000 turns of wire in the input coil of the transformer, how many turns must there be in the output coil?

Solutions

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For a step up Transformer: no. of turns (n)$\propto$ Poteintial Difference (V); $\dfrac{V_{out}}{V_{in}}=\dfrac{n_{out}}{n_{in}}; n_{out}=\dfrac{V_{out}}{V_{in}}n_{in}:n_{out}=\dfrac{3,45,000}{24,000} \times 2000 = 28,750$ turns

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