To determine the direct current (DC), we need to first find the input power to the motor. We can use the formula for power:
Power = Voltage * Current
Since the input voltage is given as 200 volts, we need to find the input current. We can rearrange the formula to solve for current:
Current = Power / Voltage
The input power can be calculated using the efficiency of the motor. Efficiency is defined as:
Efficiency = Output Power / Input Power
Rearranging this formula, we can solve for the input power:
Input Power = Output Power / Efficiency
Input Power = 200 kilovolts / (80/100)
Input Power = 200 kilovolts / 0.8
Input Power = 250 kilovolts
Converting the input power to volts:
Input Power (volts) = 250 kilovolts * 1000 volts/kilovolt
Input Power (volts) = 250,000 volts
Now we can substitute the values into the current formula:
Current = Input Power / Voltage
Current = 250,000 volts / 200 volts
Current = 1250 amps
Therefore, the direct current (DC) flowing into the motor is 1250 amps.
A motor gives an output power of 200kilovolts and operates with efficiency of 80%,if the constant input voltage to the motor is 200volts,determine the direct current
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