A long insulated wire is stretched along the x-axis. A current of 2.0 A flows in this wire in the positive x-direction.
Another long insulated wire is stretched along the y-axis. It carries a current of 9.3 A in the negative y-direction.
What is the magnitude of the magnetic field at the point (x=6.9cm, y=1.8cm)? The answer may be given in the units of mT or uT.
The answer should be positive if the direction of the magnetic field is up (in the positive z-direction), and negative if the direction of the magnetic field is down.
0 =4
x10-7
T.m/A
B = oi/2
d
i =2 A, x =6.9 cm
B 1= (4x10-7*2)/(2
*0.069)
B1 = 57.97x10-7 T
Current is along +x direction. According to Amphere's law B is along downward direction (-z)
i =9.3 A, x =1.8 cm
B2= (4x10-7*9.3)/(2
*0.018)
B2 = 1033.3x10-7 T
Current is along - y direction. According to Amphere's law B is along downward direction (-z)
B =B1+B2
B = (57.97x10-7 )+ (1033.3x10-7)
B =1091.27x10-7T
B = 1.091x10-4 T along down ward direction
B = - 1.091x10-4 T
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