Problem 28.59 Mastering Physics 6 of 6 Problem 28.59 A long straight wine carrie

Question

Problem 28.59 Mastering Physics 6 of 6 Problem 28.59 A long straight wine carries a 130-A current An electron is fired parallel to this wire with a velocity of 230 km/s in the same direction as the current, 200 cm from the wire. Part A Find the magnitude of the electron's initial acceleration. Give Up Submit Part B Find the direction of the electron's initial acceleration. out of the page towards the wire into the page O away from the wire Give Up Correct Part C What should be the magnitude of a uniform electric field that will allow the electron to continue to travel parallel to the wire?

Explanation / Answer

Here ,

I = 13 A

v = 230 *10^3 m/s

d = 2 cm = 0.02 m

part a)

let the magnitude of acceleration is a

Force = B * v * q

force = 4pi *10^-7 * 13/(2pi * 0.02) * 230 *10^3 * 1.602 *10^-19

force = 4.79 *10^-18 N

part b)

as the current due to electron will be oposite to direction of motion

the force on electron will be away from the wire

part c)

let the electric field needed is E

E * 1.602 *10^-19 = 4.79 *10^-18

E = 29.9 N/C

the electric field needed is 29.9 N/C

part F)

mg/(Fel) = 9.11 *10^-31 * 9.8/(4.79 *10^-18)

mg/(Fel) = 1.9 *10^-12

the ratio is 1.9 *10^-12

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