for long distance transmission of electricity, voltages of 1- 26 kv at the generator are stepped up high levels, 230-768 kv. in stepping up from 1 kv to 768 kv, if there are 200 turns of transformer wireon the primary, how many turns will the secondary contain?
Ts = (768kV/1kV) * 200 = 153,600 Turns.
To determine the number of turns on the secondary of the transformer, we can use the voltage ratio formula:
Voltage ratio = Turns ratio
The voltage ratio is given as:
Voltage ratio = V_secondary / V_primary
In this case, the primary voltage (V_primary) is 1 kV, and the secondary voltage (V_secondary) is 768 kV.
Plugging in the values into the voltage ratio formula:
768 kV / 1 kV = Turns ratio
Simplifying, we have:
768 = Turns ratio
Now, we can use the turns ratio to determine the number of turns on the secondary. Since the number of turns on the primary is given as 200, we can set up the equation:
Turns ratio = Turns_secondary / Turns_primary
Substituting the known values:
768 = Turns_secondary / 200
To isolate Turns_secondary, we multiply both sides of the equation by 200:
768 * 200 = Turns_secondary
Calculating this value gives us:
153,600 = Turns_secondary
Therefore, the secondary will contain 153,600 turns.