A straight conductor carries a current of 5A an electron travelling with a speed of 5* 10 to the power6 ms to the power -1 parallel to the wire at a distance of 0.1 m from the conductor experiences a force of ?
Current on the wire is, i = 5 A
Speed of electron, v = 5 × 106 m/s
Distance between the wire and the electron is, d = 0.1 m
Now, Magnetic field due to the straight wire at a distance ‘d’ from the wire is,
B = μoi/(2πd) = (4π × 10-7)(5)/(2π × 0.1)
=> B = 10-5 T
Since, the electron is moving parallel to the wire so the direction of the magnetic field is perpendicular to the direction of the electron.
So, the force on the electron is, F = qvB = (1.6 × 10-19)(5 × 104)(10-5)
=> F = 8 × 10-20 N