Consider the system pictured in the figure below. A = 18-cm length of conductor of mass 43 g, free to move vertically, is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. When a 5.0-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. 5.0 A 5.0 A I A 5.0 A (a) What forces act on the horizontal wire, and under what condition is the wire able to move upward at constant velocity? This answer has not been graded yet. (b) Find the magnitude and direction of the minimum magnetic field required to move the wire at constant speed.

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### Educational Exercise on Magnetic Fields and Forces

#### Problem Description:
Consider the system pictured in the figure below. A \( l = 18\)-cm length of conductor of mass \(43\) g, free to move vertically, is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. When a \(5.0\)-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity.

#### Diagram Explanation:
The diagram shows a horizontal wire of length \(18\) cm placed between two vertical conductors. Each end of the horizontal wire is part of a loop with a current of \(5.0\) A flowing downwards along the vertical conductors and horizontally across the top wire. The system is subject to a magnetic field perpendicular to the page.

#### Questions:

**(a)** What forces act on the horizontal wire, and under what condition is the wire able to move upward at constant velocity?

- *Answer Box:* [Type your answer here.]

**(b)** Find the magnitude and direction of the minimum magnetic field required to move the wire at constant speed.

- *Magnitude:* [______] T  
- *Direction:* [Select an option]

**(c)** What happens if the magnetic field exceeds this minimum value? (The wire slides without friction on the two vertical conductors.)

- *Answer Box:* [Type your answer here.]

---

This problem explores the interplay between electrical currents, magnetic fields, and forces, applying concepts such as Lorentz force and equilibrium of forces in the presence of gravity.
Transcribed Image Text:### Educational Exercise on Magnetic Fields and Forces #### Problem Description: Consider the system pictured in the figure below. A \( l = 18\)-cm length of conductor of mass \(43\) g, free to move vertically, is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. When a \(5.0\)-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. #### Diagram Explanation: The diagram shows a horizontal wire of length \(18\) cm placed between two vertical conductors. Each end of the horizontal wire is part of a loop with a current of \(5.0\) A flowing downwards along the vertical conductors and horizontally across the top wire. The system is subject to a magnetic field perpendicular to the page. #### Questions: **(a)** What forces act on the horizontal wire, and under what condition is the wire able to move upward at constant velocity? - *Answer Box:* [Type your answer here.] **(b)** Find the magnitude and direction of the minimum magnetic field required to move the wire at constant speed. - *Magnitude:* [______] T - *Direction:* [Select an option] **(c)** What happens if the magnetic field exceeds this minimum value? (The wire slides without friction on the two vertical conductors.) - *Answer Box:* [Type your answer here.] --- This problem explores the interplay between electrical currents, magnetic fields, and forces, applying concepts such as Lorentz force and equilibrium of forces in the presence of gravity.
The image displays an interactive educational form element, specifically a dropdown menu, for selecting the direction of a force or movement. The options available for selection are:

- up
- left
- into the page
- out of the page
- down
- right

Below the dropdown menu is a partially visible question labeled "(c) What happ..." which is likely prompting the user to answer a question about the effect or consequence of choosing a particular direction. This dropdown feature is commonly used in online quizzes or educational platforms to assess understanding of direction-related concepts, such as vectors or motion in physics.
Transcribed Image Text:The image displays an interactive educational form element, specifically a dropdown menu, for selecting the direction of a force or movement. The options available for selection are: - up - left - into the page - out of the page - down - right Below the dropdown menu is a partially visible question labeled "(c) What happ..." which is likely prompting the user to answer a question about the effect or consequence of choosing a particular direction. This dropdown feature is commonly used in online quizzes or educational platforms to assess understanding of direction-related concepts, such as vectors or motion in physics.
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