A step up transformer operates on a 220 V line and supplies to a load of a current of 2 A. The ratio of turns in primary and the secondary winding is 25: 1. The secondary voltage, primary current and power output will be respectively

Question

A step up transformer operates on a 220 V line and supplies to a load of a current of 2 A. The ratio of turns in primary and the secondary winding is 25: 1. The secondary voltage, primary current and power output will be respectively (A) 5500 V, 50 A,11 kW (B) 500 V, 25 A, 22 kW (C) 2400 V, 40 A, 5.5 kW (D) None of the above

Tardigrade Admin · Accepted Answer

The transformation ratio for a transformer is given by

\frac{I _{p}}{I _{s}} = \frac{e _{s}}{e _{p}} = \frac{N _{s}}{N _{p}} = K

where

I_{p}, N_{p}, e_{p}

are current, number of turns and voltage across primary and

I_{s}, N_{s}, e_{s}

across secondary, respectively.
Given,

e_{p} = 220 V, I_{s} = 2 A

k = \frac{N _{p}}{N _{s}} = 25

\Rightarrow e_{s} = \frac{N _{s}}{N _{p}} \times e_{p}

= 25 \times 220 = 5500 V

and

I_{p} = \frac{N _{s}}{N _{p}} \times I_{s}

= 25 \times 2 = 50 A

Power output

= e_{s} I_{s}

= 5500 \times 2 = 11000 W

1 kW = 1 0^{3} W

∴

Power output

= 11 kW

Q. A step up transformer operates on a 220V line and supplies to a load of a current of 2A. The ratio of turns in primary and the secondary winding is 25:1. The secondary voltage, primary current and power output will be respectively

5500 V, 50 A,11 kW

500 V, 25 A, 22 kW

2400 V, 40 A, 5.5 kW

None of the above

Q. A step up transformer operates on a $220 V$ line and supplies to a load of a current of $2 A$ . The ratio of turns in primary and the secondary winding is $25 : 1$ . The secondary voltage, primary current and power output will be respectively