Question

A step down transformer converts 2200 volt transmission line voltage to 220 volts. Number of turns
in secondary coil are 500. Evaluate the number of turns in primary coil.
​

Answer 1

Answer:

the number of turns in the primary coil are 5000

Answer 2

Answer:

A step-down transformer converts 2200v transmission line voltage to 220 volts. The number of turns  in the secondary coil is 500, the number of turns in the primary coil is 5000v

​​Explanation:

• In a transformer, there is a primary coil with a number of turns $N_{1}$ voltage, and current through it is $I_{1}$. In the secondary coil, the number of turns is $N_{2}$ voltage is $V_{2}$ and current is $I_{2}$

• The relation connecting these parameters is given by the formula

        $\frac{N_{1} }{N_{2} } =\frac{V_{1} }{V_{2} }=\frac{I_{2} }{I_{1} }$

From the question, we have

the voltage in the primary coil is $V_{1} =2200v$

the voltage in the secondary coil is $V_{2} =220v$

the number of turns in the secondary coil $N_{2} =500$

the number of turns in the primary coil $N_{1} =\frac{V_{1} N_{2} }{V_{2} }$

 ⇒$V_{1} =\frac{2200*500}{220}=5000v$