Question

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

Answer 1

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.