The three phase motor with 400V,7.46w power factor 0.8 runs with 85 percent efficiency calculate the line current?

To calculate the line current, we first need to calculate the apparent power (S), which is given by the formula:

S = P / (power factor * efficiency)

Where:
P = power = 7.46 kW = 7460 W
power factor = 0.8
efficiency = 85% = 0.85

S = 7460 / (0.8 * 0.85)
S = 11000 VA

Now, we can calculate the line current (I) using the formula:

I = S / (√3 * V)

Where:
S = apparent power = 11000 VA
V = voltage = 400 V

I = 11000 / (√3 * 400)
I = 11000 / (1.732 * 400)
I = 11000 / 692.8
I = 15.88 A

Therefore, the line current is approximately 15.88 A.

Given:

- Three-phase motor
- Voltage: 400 V
- Power: 7.46 kW
- Power factor: 0.8
- Efficiency: 85%

To find:

- Line current

Calculations:

1. Calculate the input power to the motor:

```
Input power = Actual power / Efficiency
Input power = 7.46 kW / 0.85
Input power = 8.78 kW
```

2. Calculate the line current:

```
Line current = (Input power / (√3 - Voltage - Power factor))
Line current = (8.78 kW / (√3 - 400 V - 0.8))
Line current = 12.8 A
```

Therefore, the line current for the three-phase motor is 12.8 A.