Question

with necessary mathematical formulations, establish that, "if two straight wires carrying current in the same direction are placed parallel to each other with small separation, they will repel each other".

Answer 1

Answer:

Two straight wires carrying current in the same direction attract each other, and they repel if the currents are opposite in direction. ... the magnetic field at wire 2 is B = Tesla = Gauss. If current I2 = Amperes. then the force per meter is F/ΔL = Newtons/m. The earth's magnetic field is about 0.5 gauss.With two currents flowing in opposite directions you can determine that the magnetic fields are in the same direction and will therefore repel. When the currents flow in the same direction the magnetic field will be opposite and the wires will attract.