A motor gives an output power of 20 kW and operates with an efficiency of 80 per cent. If the constant input voltage to the motor is 200 V, what is the constant supply current? [125 A]

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UpStudy AI · Accepted Answer

To find the constant supply current for the motor, we can follow these steps:

1. **Identify the known values:**
   - Output power ($$P_{out}$$) = 20 kW = 20,000 W
   - Efficiency ($$\eta$$) = 80% = 0.80
   - Input voltage ($$V$$) = 200 V

2. **Calculate the input power ($$P_{in}$$) using the efficiency formula:**
   $$
   \eta = \frac{P_{out}}{P_{in}}
   $$
   Rearranging this gives:
   $$
   P_{in} = \frac{P_{out}}{\eta}
   $$

3. **Substituting the known values:**
   $$
   P_{in} = \frac{20,000 \, \text{W}}{0.80}
   $$

4. **Calculate $$P_{in}$$:**
   $$
   P_{in} = 25,000 \, \text{W}
   $$

5. **Use the formula for power to find the current ($$I$$):**
   $$
   P_{in} = V \cdot I
   $$
   Rearranging gives:
   $$
   I = \frac{P_{in}}{V}
   $$

6. **Substituting the known values:**
   $$
   I = \frac{25,000 \, \text{W}}{200 \, \text{V}}
   $$

7. **Calculate $$I$$:**
   $$
   I = 125 \, \text{A}
   $$

Thus, the constant supply current is $$125 \, \text{A}$$.
The constant supply current is 125 A.

A motor gives an output power of 20 kW and operates with an efficiency of 80 per cent. If the constant input voltage to the motor is 200 V, what is the constant supply current? [125 A]

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