Final answer:
The inductance of the inductor is 2.2 mH.
Step-by-step explanation:
The inductance of an inductor can be calculated using the formula:
L = (V/I) / (2*pi*f)
Where:
- L is the inductance in henries
- V is the voltage across the inductor in volts
- I is the current in the circuit in amperes
- f is the frequency of the supply in hertz
- pi is a mathematical constant approximately equal to 3.14159
Plugging in the given values:
- V = 279V
- I = 1.6A
- f = 38Hz
- pi = 3.14159
Calculating the inductance:
L = (279/1.6) / (2*3.14159*38) = 2.2 mH
Therefore, the inductance of the inductor is 2.2 mH.