Please check my answers:
why does an iron core increase the magnetic iduction of a coil of wire?
-I am thinking it has something to do with the voltage being increased.
Will a cyclist coast farther if the lamp is connected to the generator on his bicycle is turned off?
-I say no because the generator is not producing engergy or voltage
An iron core increases the magnetic B field coil by aligning some electron orbits within the iron.
A light generator will slow down a bike if the light is on, and the bike will not coast as far.
For the first question, why does an iron core increase the magnetic induction of a coil of wire? The iron core increases the magnetic induction of a coil of wire due to its high magnetic permeability. When a current flows through the coil, a magnetic field is generated around it. The iron core acts as a magnetic conductor, concentrating and amplifying the magnetic field lines produced by the coil. This increased magnetic field strength results in higher magnetic induction, also known as magnetic flux density.
As for the second question, will a cyclist coast farther if the lamp connected to the generator on his bicycle is turned off? Yes, the cyclist will coast farther if the lamp connected to the generator is turned off. When the lamp is turned on, some of the energy produced by the cyclist's pedaling is diverted to power the lamp, resulting in additional resistance. This resistance slows down the rotation of the wheels, causing the cyclist to coast for a shorter distance. However, when the lamp is turned off, the generator is not consuming any of the cyclist's energy, allowing the wheels to rotate more freely, thus extending the distance the cyclist can coast.