Along solenoid has 103 turns/cm and carries current i. an electron moves within the solenoid in a circle of radius 2.60 cm perpendicular to the solenoid axis. the speed of the electron is 1.38 × 107 m/s. find the current i in the solenoid.

0.23348 A

Explanation:

B = Magnetic field

v = Velocity of electron =

q = Charge of electron =

= Vacuum permeability =

r = Radius of circle = 0.026 m

N = Number of turns = 103 turns/cm =

I = Current

The magnetic and centripetal force will be balanced

The magnetic field in solenoid is given by

From the first equation

The current in the solenoid is 0.23348 A