A long straight wire carrying a current of 2.07 A moves with a constant speed v to the right. A 120 turn circular coil of diameter 1.50 cm, and resistance of 3.25 un, lies stationary in the same plane as the straight wire. At some initial time the wire is to the left of the coil at a distance d = 13.0 cm from its center. 6.00 s later, the wire has moved to the right of the coil and is at a distance d from the center of the coil. You may assume for simplicity that the magnetic field is uniform in the region of the coil. Initial situation Final situation (a) What is the direction of the induced current in the coil as the wire moves toward the coil, in the initial situation? O clockwise counterclockwise O no current (b) What is the direction of the induced current in the coil as the wire moves away from coil, in the final situation? O clockwise counterclockwise O no current (c) What is the magnitude of the average induced current in the coil over the 6.00 s interval? mA

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**Problem Description:**

A long straight wire carrying a current of 2.07 A moves with a constant speed \(v\) to the right. A 120-turn circular coil with a diameter of 1.50 cm, and resistance of 3.25 μΩ, remains stationary in the same plane as the straight wire. Initially, the wire is to the left of the coil at a distance \(d = 13.0\) cm from its center. After 6.00 seconds, the wire has moved to the right of the coil and is again at a distance \(d\) from the center of the coil. Assume that the magnetic field is uniform in the region of the coil.

**Diagrams:**

- The left diagram (Initial situation) shows the coil at a distance \(d\) from the wire, which is to the left of the coil. The wire moves with velocity \(\vec{v}\) towards the right, carrying a current \(I\).
- The right diagram (Final situation) shows the coil again at the distance \(d\) from the wire, which has now moved to the right side of the coil.

**Questions:**

(a) What is the direction of the induced current in the coil as the wire moves toward the coil, in the initial situation?
- ○ clockwise
- ○ counterclockwise
- ○ no current

(b) What is the direction of the induced current in the coil as the wire moves away from the coil, in the final situation?
- ○ clockwise
- ○ counterclockwise
- ○ no current

(c) What is the magnitude of the average induced current in the coil over the 6.00 s interval?
- [ ] mA
Transcribed Image Text:**Problem Description:** A long straight wire carrying a current of 2.07 A moves with a constant speed \(v\) to the right. A 120-turn circular coil with a diameter of 1.50 cm, and resistance of 3.25 μΩ, remains stationary in the same plane as the straight wire. Initially, the wire is to the left of the coil at a distance \(d = 13.0\) cm from its center. After 6.00 seconds, the wire has moved to the right of the coil and is again at a distance \(d\) from the center of the coil. Assume that the magnetic field is uniform in the region of the coil. **Diagrams:** - The left diagram (Initial situation) shows the coil at a distance \(d\) from the wire, which is to the left of the coil. The wire moves with velocity \(\vec{v}\) towards the right, carrying a current \(I\). - The right diagram (Final situation) shows the coil again at the distance \(d\) from the wire, which has now moved to the right side of the coil. **Questions:** (a) What is the direction of the induced current in the coil as the wire moves toward the coil, in the initial situation? - ○ clockwise - ○ counterclockwise - ○ no current (b) What is the direction of the induced current in the coil as the wire moves away from the coil, in the final situation? - ○ clockwise - ○ counterclockwise - ○ no current (c) What is the magnitude of the average induced current in the coil over the 6.00 s interval? - [ ] mA
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