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A 3300I250 V, 50 Hz transformer has 75 turns on low voltage winding. Find the number of turns on high voltage winding.
Question

A 3300I250 V, 50 Hz transformer has 75 turns on low voltage winding. Find the number of turns on high voltage winding.

A.

330

B.

900

C.

660

D.

1320

Correct option is B

K=(E2E1)=(N2N1)=(I1I2)Given:The voltage V2 across high voltage winding=3000 VThe voltage V1 across low voltage winding=250 VThe Number of turns N1 across low voltage winding=75The number of turns N2 across high voltage winding=?Calculation:In an ideal transformer, the voltage across winding is proportional to the number of turns, i.e., In the transformer, N1N2=V1V2=>75N2=2503000N2=900 turnsK = \left( \frac{E_2}{E_1} \right) = \left( \frac{N_2}{N_1} \right) = \left( \frac{I_1}{I_2} \right)\\\textbf{Given:}\\\begin{aligned}\text{The voltage } V_2 \text{ across high voltage winding} &= 3000 \, \text{V} \\\text{The voltage } V_1 \text{ across low voltage winding} &= 250 \, \text{V} \\\text{The Number of turns } N_1 \text{ across low voltage winding} &= 75 \\\text{The number of turns } N_2 \text{ across high voltage winding} &= ?\end{aligned}\\\textbf{Calculation:} \\\text{In an ideal transformer, the voltage across winding is proportional to the number of turns, i.e., In the transformer, } \frac{N_1}{N_2} = \frac{V_1}{V_2} \\\Rightarrow \frac{75}{N_2} = \frac{250}{3000} \\N_2 = 900 \, \text{turns}​​

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