Solved: Two long straight parallel wires are 15 cm apart.

Chapter 15, Problem 44P

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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?

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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:

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