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

Question

A very long, thin rod carries electric charge with a linear density of 38.0nC/m. It lies along the x-axis and moves in the x-direction at a speed of 1.40 times l07m/s. (a) What is the magnitude of the electric field the rod creates at the point (x = 0, y = 20.0cm, z = 0)? (b) What is the magnitude of the magnetic field it creates at the same point? (c) What is the magnitude of the force exerted on an electron (me = 9.109 times l0-31kg, e- = -1.602 times 10-19C) at this point, moving with a velocity of v = 1.90 times l08m/s>x^? (d) If a proton (mp = 1.673times10 27kg, e+ = 1.602times10-19C) is moving with that same velocity at the same location, then what is the magnitude of the force on the proton?

Explanation / Answer

A) E = lamda/(2*pi*eo*r).......

E =3.41*10^3 N/C.........

B) B=E/v=2.43*10^-4T...........

C) F =q(E+vB).........we may calculate F

D)same force as in part'C'

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