Final answer:
The inductance of the circuit is 160 ohms and the average magnetic flux through each turn is 0.208 mWb when the current is 0.65 A.
Step-by-step explanation:
The formula for the self-inductance of a coil is given by the equation:
L = (N * Φ) / I
where L is the inductance of the coil, N is the number of turns, Φ is the average magnetic flux through each turn, and I is the current.
In this case, the inductance of the circuit can be found using the given information:
L = (500 * 0.024) / 0.075
= 160 ohms
Next, to find the average magnetic flux through each turn when the current is 0.65 A, we can rearrange the equation:
Φ = (L * I) / N
= (160 * 0.65) / 500
= 0.208 mWb/turn