A single phase capacitor start squirrel cage induction motor take 2.5A from a 220v line. The current in the starting winding is 1.3A and the current in the main winding is 1.45A. The total power input 550W. What is the resistance of the main winding? Assume the auxiliary winding takes takes a leading current while the main winding takes a lagging current.

A single- phase capacitor- start squirrel- cage induction motor take 2.5 A from a 220-V line. The current in the starting winding is 1.3 A and the current in the main winding is 1.45 A. The total power input is 550 W. What is the resistance of the main winding? Assume the auxiliary winding takes a leading current while the main winding takes a lagging current.

To find the resistance of the main winding, we need to apply Ohm's Law. Ohm's Law states that the resistance (R) is equal to the voltage (V) divided by the current (I):

Resistance (R) = Voltage (V) / Current (I)

In this case, we know the voltage (V) is 220V, and the current (I) in the main winding is 1.45A. Using these values, we can calculate the resistance.

Resistance of the main winding (R) = 220V / 1.45A

Calculating this expression gives us:

Resistance of the main winding (R) ≈ 151.72 ohms

So, the resistance of the main winding is approximately 151.72 ohms.