Two very long, straight, parallel conductors carry steady currents in the same direction. The currents are I1=10A and I2=20A, and the conductors are separated by 10cm. A point P is located on the line joining the conductors at a distance x from the conductor carrying current I1.
a. (i) Obtain an equation in x for the condition that the net magnetic field at P is zero.
b. (ii) Solve the equation to find the value of x.
c. (iii) State on which side of the conductor carrying I1 this point lies and give a brief justification.