A power of 200 kW is delivered by power lines with 48,000 V difference between them. Calculate the current, in amps, in these lines.
V*I = 200,000
I = 200,000/48,000 = ?
To calculate the current in the power lines, we can use the formula:
Power (P) = Voltage (V) × Current (I)
Given:
Power (P) = 200 kW = 200,000 W
Voltage (V) = 48,000 V
Rearranging the formula, we get:
Current (I) = Power (P) / Voltage (V)
Substituting the given values, we have:
Current (I) = 200,000 W / 48,000 V
Calculating the current:
Current (I) = 4.17 amps (rounded to two decimal places)
Therefore, the current in the power lines is approximately 4.17 amps.
To calculate the current in the power lines, you can use Ohm's Law, which states that current (I) is equal to power (P) divided by voltage (V).
In this case, the power (P) is given as 200 kW, which has to be converted to watts. Since 1 kW is equal to 1000 watts, you would have:
P = 200 kW = 200,000 W
The voltage (V) between the power lines is given as 48,000 V.
Now you can use Ohm's Law to calculate the current (I):
I = P / V
Substituting the values:
I = 200,000 W / 48,000 V
Calculating this division will give you the result.