Consider a circular loop of wire fixed on the rim of a wheel. This wire carries a current 'i' in it. When the wheel is at rest, which basically means that the current carrying loop is at rest, the magnitude of magnetic field at the center is, say B1. If I set the wheel in motion with a constant angular velocity with the center of the wheel at rest and without changing the current in the loop, which implies that the current carrying loop rotates about its center point, will the magnitude of magnetic field change at the center point?
I think that it will change because number of charges passing through a unit cross section which is at relative rest with respect to the center point changes and hence current effectively changes and hence magnetic field changes. Is this correct?