Question

A long straight wire carrying a current i = 2.4 amps flowing in the +y direction has a rectangular wire to its right. The length of the wire (parallel to the straight wire) is 1.5 m and its width is .6 m. The left side of the rectangular wire is originally 5 meters away from the straight wire. A force of 12 Newtons to the right is applied to the rectangular wire which is initially at rest. Assume the resistance of the rectangular wire is 26 ohms and its mass is 2 kg. Find the current and direction in the rectangular wire when its left side has reached 3.0 meters. A. 8.43 nA, cw B. 7.65 nA, cw C. 7.65 nA, cw D. 6.81 nA, cw E. 8.43 nA, cw

Answer 1

To find the current and direction in the rectangular wire when its left side has reached 3.0 meters, we can use the concept of electromagnetic induction. As the rectangular wire moves closer to the long straight wire, the magnetic field produced by the long straight wire induces a current in the rectangular wire. This induced current experiences a force and moves in a certain direction.

Step-by-step explanation:

To find the current and direction in the rectangular wire when its left side has reached 3.0 meters, we can use the concept of electromagnetic induction. As the rectangular wire moves closer to the long straight wire, the magnetic field produced by the long straight wire induces a current in the rectangular wire. This induced current experiences a force and moves in a certain direction.

To calculate the current in the rectangular wire, we can use Faraday's law, which states that the induced electromotive force (emf) is equal to the rate of change of magnetic flux through the wire. In this case, the emf is equal to the force applied to the rectangular wire divided by its resistance. We can then rearrange the formula to solve for the current in the rectangular wire.

Finally, we can determine the direction of the current using Lenz's law, which states that the direction of the induced current opposes the change in magnetic flux. Since the force applied to the rectangular wire is to the right, the induced current will flow in the clockwise direction to counteract this change.

Learn more about Electromagnetic Induction