Two long, straight wires, one above the other, are seperated by a distance d = 1.53 cm and are parallel to the x−axisx−axis. Let the +y−axis+y−axis be in the plane of the wires in the direction from the lower wire to the upper wire. Each wire carries current 34 A in the +x−direction+x−direction. Find the magnetic force on a negative point charge 79 μCμC moving with velocity 3.49×105 m/s in the +y-direction, when the charge is:

a)  

b)  

Explanation:

Given that:

q = -79 μC

q = - 79×10⁻⁶ C

d = 1.53 cm

d = 0.0153 m

I = 34 A

v = 3.49×10⁵ m/s

The force on charge q is given by

a) At midway (A) , the B will be :

 and   will be equally the same in respect to their magnitude but opposite direction at point A.

So;

where

∴  

∴

b)

At a distance d/2 cm above the upper wire:

where:

  ; upward to the plane of paper

∴

B =

B =

B =

B = 2.074 × 10⁻³T  

∴

explanation:

as the height from which the ruler was dropped increased, the speed of the ruler at ryan's hand increased.

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