A very long, thin rod carries electric charge with the linear density 38.0 nC/m.

Question

A very long, thin rod carries electric charge with the linear density 38.0 nC/m. It lies along the x axis and moves in the x direction at a speed of 15.0 Mm/s.

(a) Find the electric field the rod creates at the point (0, 20.0 cm, 0). Magnitude: 3.416885784E3 N/C

(b) Find the magnetic field it creates at the same point. Magnitude: 5.7e-7 T

(c) Find the force exerted on an electron at this point, moving with a velocity of 240 î Mm/s. Magnitude: in N

The magnitudes for a and b are correct, but I need help with c.

Explanation / Answer

c) magnetic F = qvB

= 1.6e-19*240e6*5.7e-7

= 2.19*10^-17 N

Electrostatic F = qE = 1.6e-19*3.4169e3

= 5.467*10^-16 N

net force = sqrt(54.67^2+2.19^2) *10^-16

= 54.71*10^-16 N

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