A transformer is needed to convert a mains 240 V supply into a 12 V supply. If there are 2000 turns on the primary coil, then find the number of turns on the secondary coil. Ans. (100)


Given:

Supplied Voltage to the primary coil of transformer  = Vp = 240 V 
Output Voltage of the secondary coil of transformer  = Vs = 12 V
Number of turns on the Primary coil = Np = 2000

To Find:

Number of turns on the secondary coil = Ns = ?

Solution:  

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

`\frac{Ns}{Np}` = `\frac{Vs}{Vp}`

or 

Ns = `\frac{Vs}{Vp}` x Np

by putting values

Ns = `\frac{12 V}{240 V}` x 2000

Ns = 100
Thus, the number of turn in the secondary coil is 100

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