Question

Check my work Wire with current I Electron A long straight wire carries a current of 60.5 A. An electron, traveling at 1.00x 10 m/s, is 7.60 cm from the wire. What force acts on the electron if the electron's velocity is directed toward the wire? If the direction of force is perpendicular to the current, enter a negative value.

Answer 1

given

i = 60.5 A

v = 1 x 10⁷ m/sec

r = 7.6 cm

= 0.076 m

q = 1.6 x 10^-19 C

B = $\mu$ _o i / 2 $\pi$ r

= 4 x 3.14 x 10^-7 x 60.5 / 2 x 3.14 x 0.076

B = 1.5921 x 10^-4 T

then the force is F = q v B sin90

= 1.6 x 10^-19 x 1 x 10⁷ x 1.5921 x 10^-4 x 1

so the force act on the electron is F = 2.547 x 10^-16 N