Please review my solution to the problem and explain in detail what I may be doing wrong and what concepts I may not be applying correctly.
The problem states:
Two long straight wires at separation d = 16.0 cm carry currents i1 = 3.61 mA and i2 = 3.00i1 out of the page.
(a) At what point on the x axis shown is the net magnetic field due to the currents equal to zero?
(b) If the two currents are doubled, is the point of zero magnetic field shifted toward wire 1, shifted toward wire2, or unchanged?
We know:
d = 16.0 cm = 1.6 x 10-1 m
i1 = 3.61 mA = 3.61 x 10-3 A
i2 = 3.00i1 = 3.00(3.61 mA) = 10.83 mA = 1.083 x 10-2 A
L for each conductor is infinite
Solution:
(a) The right hand rule indicates both magnetic fields wrap to the left of both wires with the current coming out of the page. These two wires are parallel currents and attract each other.
B = μ0i / 2πr
B = (1.26 x 10-6 Tm/A)(3.61 x 10-3 A) / (2)(3.1416)(1.6 x 10-1 m)
B = 4.525 x 10-9 N
I am not sure how to take this to the next step and definitively say where the magnetic fields equal zero, please help and explain how to finish out (a) and then (b)?