Problem 1: A rectangular wire loop located in the plane of the page has a width L, and its length, x, is determined by the position a movable rail that forms the fourth side of the rectangle, as shown. The total electrical resistance of the wire loop is R, and an externally applied magnetic field, B, is directed out of the page. The rail is moving towards the right with speed v. Assume that the x direction is towards the right of the page, the y direction is towards the top of the page, and the z direction is out of the page. D= . x . V. B Part (g) Considering the current calculated in a previous step, calculate the power dissipated through the resistor. Part (h) Which statement best describes the flow of energy through the system? O Energy stored in the external magnetic field is converted to mechanical work which keeps the rail moving at a constant speed. O Energy stored in the external magnetic field is converted to thermal energy dissipated through the resistor. The mechanical work from the externally applied force is eventually stored as electrical energy in the perpetually circulating electric urrent. O The mechanical work from the externally applied force is eventually converted to thermal energy dissipated by the resistor. O No energy is converted between forms in the scenario described. O The mechanical work from the externally applied force is eventually stored in the magnetic field surrounding the system.

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Please help with g and h

**Problem 1:**
A rectangular wire loop located in the plane of the page has a width \(L\), and its length, \(x\), is determined by the position of a movable rail that forms the fourth side of the rectangle, as shown. The total electrical resistance of the wire loop is \(R\), and an externally applied magnetic field, \(B\), is directed out of the page. The rail is moving towards the right with speed \(v\). Assume that the \(x\) direction is towards the right of the page, the \(y\) direction is towards the top of the page, and the \(z\) direction is out of the page.

**Diagram Explanation:**
The diagram shows a rectangular loop with a movable rail on the right side, completed by a resistor \(R\) on the left. The magnetic field \(B\) is represented with dots indicating it's directed out of the page. The rail moves to the right with speed \(v\).

**Part (g)**
Considering the current calculated in a previous step, calculate the power dissipated through the resistor.

\(P =\) [Enter your calculation here]

**Part (h)**
Which statement best describes the flow of energy through the system?

- \( \bigcirc \) Energy stored in the external magnetic field is converted to mechanical work which keeps the rail moving at a constant speed.
- \( \bigcirc \) Energy stored in the external magnetic field is converted to thermal energy dissipated through the resistor.
- \( \bigcirc \) The mechanical work from the externally applied force is eventually stored as electrical energy in the perpetually circulating electric current.
- \( \bigcirc \) The mechanical work from the externally applied force is eventually converted to thermal energy dissipated by the resistor.
- \( \bigcirc \) No energy is converted between forms in the scenario described.
- \( \bigcirc \) The mechanical work from the externally applied force is eventually stored in the magnetic field surrounding the system.
Transcribed Image Text:**Problem 1:** A rectangular wire loop located in the plane of the page has a width \(L\), and its length, \(x\), is determined by the position of a movable rail that forms the fourth side of the rectangle, as shown. The total electrical resistance of the wire loop is \(R\), and an externally applied magnetic field, \(B\), is directed out of the page. The rail is moving towards the right with speed \(v\). Assume that the \(x\) direction is towards the right of the page, the \(y\) direction is towards the top of the page, and the \(z\) direction is out of the page. **Diagram Explanation:** The diagram shows a rectangular loop with a movable rail on the right side, completed by a resistor \(R\) on the left. The magnetic field \(B\) is represented with dots indicating it's directed out of the page. The rail moves to the right with speed \(v\). **Part (g)** Considering the current calculated in a previous step, calculate the power dissipated through the resistor. \(P =\) [Enter your calculation here] **Part (h)** Which statement best describes the flow of energy through the system? - \( \bigcirc \) Energy stored in the external magnetic field is converted to mechanical work which keeps the rail moving at a constant speed. - \( \bigcirc \) Energy stored in the external magnetic field is converted to thermal energy dissipated through the resistor. - \( \bigcirc \) The mechanical work from the externally applied force is eventually stored as electrical energy in the perpetually circulating electric current. - \( \bigcirc \) The mechanical work from the externally applied force is eventually converted to thermal energy dissipated by the resistor. - \( \bigcirc \) No energy is converted between forms in the scenario described. - \( \bigcirc \) The mechanical work from the externally applied force is eventually stored in the magnetic field surrounding the system.
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