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Solved: Two long straight parallel wires are 15 cm apart.
Chapter 15, Problem 44P(choose chapter or problem)
(II) Two long straight parallel wires are \(15 \mathrm{~cm}\) apart. Wire \(\mathrm{A}\) carries \(2.0 \mathrm{~A}\) current. Wire B's current is \(4.0 \mathrm{~A}\) in the same direction.
(a) Determine the magnetic field magnitude due to wire \(\mathrm{A}\) at the position of wire B.
(b) Determine the magnetic field due to wire B at the position of wire A.
(c) Are these two magnetic fields equal and opposite? Why or why not?
(d) Determine the force on wire A due to wire B, and the force on wire B due to wire A. Are these two forces equal and opposite? Why or why not?
Questions & Answers
QUESTION:
(II) Two long straight parallel wires are \(15 \mathrm{~cm}\) apart. Wire \(\mathrm{A}\) carries \(2.0 \mathrm{~A}\) current. Wire B's current is \(4.0 \mathrm{~A}\) in the same direction.
(a) Determine the magnetic field magnitude due to wire \(\mathrm{A}\) at the position of wire B.
(b) Determine the magnetic field due to wire B at the position of wire A.
(c) Are these two magnetic fields equal and opposite? Why or why not?
(d) Determine the force on wire A due to wire B, and the force on wire B due to wire A. Are these two forces equal and opposite? Why or why not?
ANSWER:Step 1 of 4
a)
The distance between the wires: r = 15 cm
The current in wire A is: = 2A
The current in wire B is: = 4A
They carry current in the same direction.
The magnetic field at the position of wire B, because of A, is: