A motor gives an output power of 20kilowatts and operates with a frequency of 80%,ifthe constant input voltage to the motor is 200volts,determine the direct current
The direct current (DC) can be determined using the formula:
DC = (Output Power / (Input Voltage * Frequency)) * 100
Substituting the given values:
DC = (20,000 / (200 * 0.8)) * 100
= (20,000 / 160) * 100
= 12500
Therefore, the direct current is 12,500 amps.
To determine the direct current (DC) required by the motor, we need to use the formula:
DC = Output Power / (Input Voltage * Efficiency)
Given:
Output Power = 20 kilowatts = 20,000 watts
Input Voltage = 200 volts
Efficiency = 80% = 0.8
Plugging these values into the formula:
DC = 20,000 / (200 * 0.8)
DC = 20,000 / 160
DC = 125 Amperes (A)
Therefore, the direct current required by the motor is 125 Amperes.
To determine the direct current (DC) required by the motor, we need to know the power and voltage ratings of the motor. The given information mentions the output power of 20 kilowatts and the constant input voltage of 200 volts. However, the frequency of 80% does not directly pertain to determining the DC.
To find the DC required, we can use the formula:
DC Power (P_dc) = Output Power (P_out) / Efficiency
Since the efficiency (η) is not given, we'll assume it to be 100% (1) for simplicity. In reality, motors are not 100% efficient, but we'll disregard any losses or inefficiencies in this explanation.
Using the formula:
P_dc = P_out / η
P_dc = 20,000 / 1 (converting kilowatts to watts)
P_dc = 20,000 watts
So, the DC power required by the motor is 20,000 watts.
On the other hand, if you want to determine the AC current required by the motor, you can use the formula:
AC Current = Output Power / (Efficiency * Power Factor * Voltage)
However, we do not have information about the efficiency or power factor in the given question. Therefore, it is not possible to calculate the AC current.