A conducting rod of length = 25 cm is placed on a U-shaped metal wire that is connected to a lightbulb having a resistance of 8.0 2, as shown in the figure. The wire and the rod are in the plane of the page. A constant uniform magnetic field of strength 0.40 T is applied perpendicular to and into the paper. An applied external force pulls the rod to the right with a constant speed of 6.0 m/s. a) Calculate the induced emf in the rod. b) Find the magnitude and the direction of the induced current in the resistor. c) Calculate the power dissipated in the resistor during the time when the rod moves in the field. d) Calculate the external force necessary to move the rod at constant speed through the magnetic field. X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X B-field in (x) F applied

A conducting rod of length = 25 cm is placed on a U-shaped metal wire that is connected to a lightbulb having a resistance of 8.0 2, as shown in the figure. The wire and the rod are in the plane of the page. A constant uniform magnetic field of strength 0.40 T is applied perpendicular to and into the paper. An applied external force pulls the rod to the right with a constant speed of 6.0 m/s. a) Calculate the induced emf in the rod. b) Find the magnitude and the direction of the induced current in the resistor. c) Calculate the power dissipated in the resistor during the time when the rod moves in the field. d) Calculate the external force necessary to move the rod at constant speed through the magnetic field. X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X B-field in (x) F applied

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

A conducting rod of length \( \ell = 25 \) cm is placed on a U-shaped metal wire connected to a lightbulb with a resistance of 8.0 Ω, as shown in the figure. The wire and the rod lie in the plane of the page. A constant uniform magnetic field of strength 0.40 T is applied perpendicular to and into the paper. An external force pulls the rod to the right at a constant speed of 6.0 m/s.

**Questions:**

a) Calculate the induced emf in the rod.

b) Find the magnitude and the direction of the induced current in the resistor.

c) Calculate the power dissipated in the resistor while the rod moves in the field.

d) Calculate the external force necessary to move the rod at constant speed through the magnetic field.

**Diagram Explanation:**

The diagram shows:

- A U-shaped metal wire with a conducting rod placed horizontally across its open ends.
- The wire is connected to a light bulb symbolizing a resistor with 8.0 Ω resistance.
- The magnetic field is represented by "x" marks indicating the field is perpendicular and into the paper.
- An arrow labeled \( F_{\text{applied}} \) points to the right, indicating the direction of the external force applied to move the rod.
- The length of the rod is marked as \( \ell \).
- The magnetic field is labeled as \( B\text{-field} \perp \) (inward).

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