Here's what you need to know about a transformer:
-- The <u><em>ratio</em></u> of voltages is the same as the <u><em>ratio</em></u> of turns.
Say you put 10 volts across one side of the transformer. If the other side has twice as many turns, there'll be (10 x <u>2</u>) = 20 volts across that side. If the other side has half as many turns, then there'll be (10 x <u>1/2</u>) = 5 volts across that side.
-- The <u><em>power</em></u> is the same on both sides. Whatever power goes in, the same power comes out. (It's the amount of energy every second, so it can't be created or destroyed.)
-- Just like every other electrical situation ... <em>Power = (voltage) x (current)</em>
Oh, I should also mention that any time you're working with a transformer, you're working with AC (alternating current). If you put DC into a transformer, the only thing you get out of it is smoke. This question doesn't even mention AC or DC. It's just something to remember about transformers.
= = = = =
So, now, let's see what we've got here:
-- 200 turns on the primary, 50 turns on the secondary. ==> Whatever voltage we put across the primary, we'll get <em>1/4 of that voltage</em> on the secondary.
-- Electric power in the primary = 80 KW. ==> <em>SAME 80 KW</em> in the secondary.
-- 10,000 volts (10 kV) across the primary. ==> <em>2,500 volts</em> across the secondary.
(1). Voltage across the secondary ? 1/4 of the primary voltage
<em>Voltage = 2,500 V</em>
(2). Current through the secondary ? Well, the power has to be the same in both windings = 80,000 watts (80 KW) = (voltage) x (current).
(2,500 V) x (current) = 80,000 watts
Current = (80,000 watts) / (2500 V)
<em>Current = 32 Amperes</em>
(3). What is the resistance, connected to the secondary, that's eating all of this power ?
R = V / I
Resistance = (voltage) / (current)
Resistance = (2500 V) / (32 A)
<em>Resistance = 78.125 ohms</em>