Final answer:
To find the distance from the right wire at which the net magnetic field will equal zero, we can use the principle of magnetic fields produced by parallel wires with opposite currents. Using the formula for the magnetic field produced by a long straight wire, we can calculate the magnetic field produced by each wire at different distances and set them equal to each other to solve for the distance where the net magnetic field equals zero.
Step-by-step explanation:
To find the distance from the right wire at which the net magnetic field will equal zero, we can use the principle of magnetic fields produced by parallel wires with opposite currents. If the two wires carry currents in opposite directions, the magnetic fields produced by the wires will cancel out each other at certain points. These points are located equidistant from the wires.
Using the formula for the magnetic field produced by a long straight wire, B = (μ₀ × I) / (2π × r), where μ₀ is the permeability of free space, I is the current in the wire, and r is the distance from the wire, we can calculate the magnetic field produced by each wire at different distances.
Setting the magnetic field produced by the left wire equal to the magnetic field produced by the right wire, we can solve for the distance r from the right wire to find where the net magnetic field equals zero.
In this case, the left wire carries a current of 22.1 A, the right wire carries a current of 5.63 A, and the wires are separated by 16.9 cm.