1. Three infinite long (thin) wires L₁ locating at (x=0, y=0), L₂ locating at (x=0, y=3) and L3 locating at (x=4, y=3) carry currents -50A, 100A and 300A respectively along â₂. Find the force per unit length on a) L3 due to L₁ (also state if the force is repulsive or attractive), b) L3 due to L₂ (also state if the force is repulsive or attractive), c) L3 due to L₁ and L₂. (Note: The direction of magnetic forces can be visualized by drawing a diagram. From the diagram, you need to resolve the force direction in terms of x and y components.)
1. Three infinite long (thin) wires L₁ locating at (x=0, y=0), L₂ locating at (x=0, y=3) and L3 locating at (x=4, y=3) carry currents -50A, 100A and 300A respectively along â₂. Find the force per unit length on a) L3 due to L₁ (also state if the force is repulsive or attractive), b) L3 due to L₂ (also state if the force is repulsive or attractive), c) L3 due to L₁ and L₂. (Note: The direction of magnetic forces can be visualized by drawing a diagram. From the diagram, you need to resolve the force direction in terms of x and y components.)
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
Transcribed Image Text:1. Three infinite long (thin) wires L₁ locating at (x=0, y=0), L₂ locating at (x=0, y=3) and L3 locating at (x=4, y=3) carry
currents -50A, 100A and 300A respectively along â₂. Find the force per unit length on a) L3 due to L₁ (also state if the
force is repulsive or attractive), b) L3 due to L₂ (also state if the force is repulsive or attractive), c) L3 due to L₁ and L₂.
(Note: The direction of magnetic forces can be visualized by drawing a diagram. From the diagram, you need to resolve
the force direction in terms of x and y components.)
Expert Solution
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Step 1: Know the concept to be used:
VIEWStep 2: Write the given quantities and draw a rough diagram for the problem:
VIEWStep 3: Calculate the magnitude of the magnetic force per unit length on wire L3 due to wire L1.
VIEWStep 4: (a) Find the magnetic force vector per unit length on wire L3 due to wire L1
VIEWStep 5: (b) Find the magnetic force vector per unit length on wire L3 due to wire L2:
VIEWStep 6: (c) Find the magnetic force per unit length on wire 3 due to wire 1 and wire 2:
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