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A transformer is designed to change 117 VV into 13,500 VV, and there are 138 turns in the primary coil. The secondary coil will  have 15923 turns

A step-up transformer is a transformer that increases the voltage from the primary coil to the secondary coil while managing the same power at the rated frequency in both coils. It converts low voltage & high current from the primary side to the high voltage & low current on the secondary side of the transformer.

The voltage across the primary coil = Vp =117V

The voltage across the secondary coil = Vs = 13500

Number of turns in the primary coil = Np = 138

[tex]\frac{Vp}{Vs}[/tex] = [tex]\frac{Np}{Ns}[/tex]

117/13500 = 138 / Ns

Ns = 15923 turns

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