something needs explaining

Why does a moving magnet make power?

A coil and bulb have no battery. A moving magnet can wake the bulb. What does the wire notice?

The magnet carries an invisible reach. Moving it changes how much of that reach crosses the coil.

A child watches broad blue magnetic loops pass through a copper coil as the magnet changes position.

Tap the magnet between two positions. Count how many field rings cross the coil.

Change the travel time. The same field change packed into less time makes a larger rate.

Tap once to move the magnet, then leave it parked. The change meter rises only during motion.

Coil A changes four rings in two seconds. Coil B changes three rings in half a second.

Different field changes. Different times. Compare change per second.

Which coil gets the bigger electrical push?