Magnetic Field Due to a Current in two parallel wires

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?

Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here. Thank you for using Brainmass.
===============================================================================

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 ...

Solution Summary

I have shown how to find the location of zero magnetic filed between two parallel current carrying wires. I also have discussed the results as the current in the wire are doubled.

... is about magnetic force acting on four segments of a current carrying wire... a cube along its edges and the phase diagonals due to a uniform magnetic field. ...

... a distance a from a long current carrying conductor ... point P), the magnitudes of the magnetic fields due to each ... The direction of magnetic field due to the two ...

... Sketch the changes in magnetic fields induced and the resultant current...field lines), direction of the average magnetic field B1 at the loop due to I1 is ...

... The magnetic field due to an ideal solenoid is given by B ... the direction depends on the direction of current in it ... According to the given table the fields are B1 ...

... long parallel wires each carry a 2.0 A current in the ... a) What is the magnitude of the magnetic field at the ... of the force that each wire experiences due to the ...

... we can determine the direction of the magnetic field due to the ... hand rule we see that the magnetic fields B1 and B2 ... possible region to have the net field to be ...

Magnetic Fields in a Conducting Wire. ... If the current is distribution is circularly uniform, the ... The magnetic field due to a long straight wire is haveng ...

Magnetic Field Due to a Current Carrying Conductor. ... 55.4 x 10^-4 T or 5.54 mT b) Magnetic field at 2.5 ... by the central conductor - part of the current carried by ...

... the resultant field at point P due to both currents (means current density Jz ... The magnetic field due to a long straight wire is haveng circular lines the ...