How does the impedance of a 230-volt coil compare to that of a 115-volt coil, given both have 600 VA inrush ratings?

The impedance of a coil is determined by the voltage and the power rating. The relationship can be derived from the formula:

[ Z = \frac{V}{I} ]

where Z is the impedance, V is the voltage, and I is the current. Given that both the 230-volt and the 115-volt coils have the same inrush rating of 600 VA, we can calculate the current for each coil.

For the 230-volt coil, the current can be calculated as follows:

[ I_{230} = \frac{600}{230} \approx 2.61 , \text{A} ]

For the 115-volt coil, the current would be:

[ I_{115} = \frac{600}{115} \approx 5.22 , \text{A} ]

Now, substituting back into the impedance formula, we find:

1. For the 230-volt coil:

[ Z_{230} = \frac{230}{2.61} \approx 88.5 , \Omega ]

2. For the 115-volt coil:

[ Z_{115} = \frac{115}{