The primary of a transformer has 400 turns while the secondary has 2000 turns. If the power output from the secondary at 1000 V is 12 kW, what is the primary voltage?

Question

The primary of a transformer has 400 turns while the secondary has 2000 turns. If the power output from the secondary at 1000 V is 12 kW, what is the primary voltage? (A) 200 V (B) 300 V (C) 400 V (D) 500 V

Tardigrade Admin · Accepted Answer

NP=400, NS = 2000 and VS = 1000 V. (VP/VS)=(NP/NS) or, VP = (VS× NP/NS)=(1000×400/2000)=200 V.

Q. The primary of a transformer has $400$ turns while the secondary has $2000$ turns. If the power output from the secondary at $1000 V$ is $12 kW$ , what is the primary voltage?

200 V

300 V

400 V

500 V

$N_{P} = 400, N_{S} = 2000$ and $V_{S} = 1000 V .$
$\frac{V _{P}}{V _{S}} = \frac{N _{P}}{N _{S}}$
or, $V_{P} = \frac{V _{S} \times N _{P}}{N _{S}} = \frac{1000 \times 400}{2000} = 200 V .$

Q. The primary of a transformer has 400 turns while the secondary has 2000 turns. If the power output from the secondary at 1000V is 12kW, what is the primary voltage?