The changing magnetic field induces an electric field, which accelerates the electron.
To determine the acceleration of the electron, we use the formula:
a=where
F=qE.
To calculate the electric field
E, we apply Faraday's law of electromagnetic induction:
ε=−=−B⋅AHere,
B is the magnetic field, and
A is the cross-sectional area. Therefore, the electromotive force (emf) is:
ε=−A⋅=−πr2⋅The electric field
E is then given by:
E=−=−E=⋅Finally, the acceleration
a is:
a=⋅⋅Substituting the given values:
a=×××50×10−6=23×106ms−2