The generator at a power plant produces AC at 20,000 V. A transformer steps this up to 355,000 V for transmission over power lines. If there are 2,250 turns of wire in the input coil of the transformer, how many turns must there be in the output coil

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Answer:

Number of coil in the output is 39938

Explanation:

We have given a step up transformer

Input voltage of transformer, that is primary voltage [tex]v_p=20000volt[/tex]

Output voltage, that is secondary voltage [tex]v_s=355000volt[/tex]

Number of turns in primary [tex]N_p=2250[/tex]

For transformer we know that [tex]\frac{V_p}{V_s}=\frac{N_p}{N_s}[/tex]

[tex]\frac{20000}{355000}=\frac{2250}{N_s}[/tex]

[tex]N_s=39937.5[/tex]

As the number of turns can not be in fraction so number of turns in the output coil is 39938