## Related questions with answers

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

VerifiedFor 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

$\begin{align*} \textbf{Given:} \quad & \\ & V_i = 24000 \, \, \text{V,} \\& V_o = 345000 \, \, \text{V,} \\ & N_i = 2000 \end{align*}$

We need to find the number of turns in the output coil. We will use the expression which connects the ratio of voltages and the ratio of number of turns in each coil.

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