Question

please help stuck on #4

Question 4 1.2 pts 4) Two long ſinfinite) wires are placed in the x-y plane parallel to one another. One is placed on the x axis and the current in that wire is 44 amps running in the +x direction. The other wire is placed at y = +3.8 meters (3.8 meters "above" the first wire, in the x-y plane). The second wire has a force per unit length of 40 x 10-7 N/m in the +y direction. At the point x = 0.y = +1.2 m, a charge moving at 3.9 m/s in the -x direction has a total magnetic force acting on it, due to both wires, of 447 x 10? Nin the -y direction. What is the charge in Coulombs (not micro-coulombs) and if negative, include a negative sign?

Answer 1

U=3.9m/sa. 3.8m So, ya 1.2) 4 = 44 44 XL2 3 .8 ZIT 's force per unit length due to two barallel infinite wire Separated by a distance r= 3.8m, fa un izez - чо х10*Чттх 10 - iz= 1073 A Second wire has a force along ty direction, i.e. first wire repel the second wire. Again, when the Current in these wires are in the same direction, the wires attract each other, but when in opposite direction, the wires rebel each other. 1. So, the current in the second wire is opposite direction to the first. Magnetic field at (0, 1:2) due to first wire, Bp = r , upward direction 42107 x 4u 2 1 8 1.2 = 7133 x1067, , Magnetic field at (0, 1-2) due to second wire, - noir 4TX107 x 1.73 - - 29 * 13-8-1:25 T, upward direction 1.33x1077 t , ubword direction Total magnetic field at 10, 1:2) 2 TT y B = By + B2 = 7.46710 61, ubward direction Magnetic force, Š q0 x is - 9 x 5 gives the direction along ty axis of force .. But, given that force is along -y direction, for that q must be ove charge.

IFY =1911 1181 447 X16* = 191x3.9 x 7.46 * 105 191 = 1.54c : Charge 199 -1.544] си.