A proton moves to the left by a long wire as shown, (a) Find the direction of th

Question

A proton moves to the left by a long wire as shown, (a) Find the direction of the magnetic field at the proton produced by the wire's current, (b) Find the direction of the magnetic force on the proton, (c) Find the direction of the electric force on the proton if there is an electron at point A. (d) What is the magnitude of the total force on the proton if the magnetic force magnitude is 11 and the electric force magnitude is 3H? Draw an arrow showing the approximate direction of the total force, (e) Suppose that the current is 5.00 A and the proton has a speed of 4.00 m/s in the direction shown 1.5 m from the wire. What is the magnetic force on the proton?

Explanation / Answer

For a long, straight wire, the magnetic field, B = moI / 2pr

(a)
Direction of the magnetic Field = Out of the Page.
(b)
Direction of the magnetic Force = Upwards, Perpendicular to the Velocity - Magnetic Field Plane.
(c)
Direction of the Electric Force = Towards Right, as opposite charge attract.
(d)
Total Force = sqrt(H^2 + 3H^2)
Total Force, F = 2H

Direction = tan^-1(H/3H) North of East
Direction = tan^-1(1/3) North of East
Direction = 18.43o North of East

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