Numerical Problem No. 15.2 (Electromagnetism) Physics SSC - II (Class 10)

A step-up transformer has a turn ratio of 1 : 100. An alternating supply of 20 V is 15 .5 connected across the primary coil. What is the secondary voltage? Ans. (2000 V)

Data Given:

A step-up transformer has a turn ratios = Np : Ns = 1 : 100

i.e    `\frac{Np}{Ns}` = `\frac{1}{100}`

or

`\frac{Ns}{Np}` = `\frac{100}{1}`

Supplied Voltage to the primary coil of transformer  = Vp = 20 V

To Find:

Output Voltage of the secondary coil of transformer  = Vs = ?

Solution:

The relationship between voltages and the number of turns of Primary and secondary coils are as follows

`\frac{Ns}{Np}` = `\frac{Vs}{Vp}`

by reversing (flipping) the fraction 

Vs = `\frac{Ns}{Np}` ｘ Vp

by putting values

Vs = `\frac{100}{1}` ｘ 20 V

Vs = 2000 V -----------Ans.

Thus, the output voltage of the secondary coil is 2000 volts

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