"Two parallel wires, each carrying a current of I = 1.8 A, are shown in the figure below, where d = 7.1 cm. The current in wire 1 is in the opposite direction of wire 2. Find the direction and magnitude of the net magnetic field at points A, B, and C."
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Figure 1: Our system
(see attached file for the diagram)
Ampere's law in magnetism is equivalent to Gauss' law in electrostatics.
It states that the sum of the magnetic fields along a closed path about a current source is proportional to the current source (If you remember Gauss' law it states that the sum of electric fields over a closed surface about a charge source is proportional to the charge source).
In mathematical terms it states that:
Where 0 is the proportionality ...
This solution is provided in 459 words and is attached as both a .doc and .pdf. Figures are provided to enhance understanding of the problem and Gauss' law in electrostatics to find magnetic field at various points in the circuit.