The figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of θ=30 degrees. There is a resistor at the top of the ramp that connects the two conducting rails R=2.3Ω. The mass of the rod is 0.42 kg. The rod starts from rest at the top of the ramp at time t=0. The rails have negligible resistance and friction, and are separated by a distance L=15.7 m. There is a constant, vertically directed magnetic field of magnitude B=1.5 T.A) Find the emf induced in the rod as a function of its velocity down the rails. What is the emf when the velocity is 5.696E−03 m/s?B) What is the rod's terminal speed?C) When the rod moves at its terminal speed, what is the power dissipated in the resistor? ### Diagram Explanation:#### Top View:- The diagram shows a wire or beam represented by two parallel lines. - The wire has a circular cross-section in the middle.- Marked with a symbol "R" on the left side. This could represent resistance or radius, depending on context.- The length of the wire is indicated by "L" with a double-headed arrow.#### Side View:- The diagram depicts a block or object on an inclined plane.- The plane is at an angle marked as "θ" (theta) to the horizontal.- An upward-arrow vector field is directed perpendicular to the incline, labeled as "B". This might represent a magnetic field or another vector field.- The object is placed on the inclined slope, possibly interacting with the field "B".This structure is commonly used to depict physics concepts involving fields, forces, and inclined planes, such as the motion of an object under gravitational and magnetic influences.

Answered: Image /qna-images/answer/4ac6f36d-917b-47a7-b881-b88ebd4d93ab.jpg(a) The induced emf as a function of velocity is E=20.4vThe induced emf at the given velocity is 0.1161 V(b) The terminal velocity is 0.0114 m/s(c) The power is 0.0235 W

Answered: The figure below shows a conducting rod…

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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The figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of θ=30 degrees. There is a resistor at the top of the ramp that connects the two conducting rails R=2.3Ω. The mass of the rod is 0.42 kg. The rod starts from rest at the top of the ramp at time t=0. The rails have negligible resistance and friction, and are separated by a distance L=15.7 m. There is a constant, vertically directed magnetic field of magnitude B=1.5 T.

A) Find the emf induced in the rod as a function of its velocity down the rails. What is the emf when the velocity is 5.696E−03 m/s?

B) What is the rod's terminal speed?

C) When the rod moves at its terminal speed, what is the power dissipated in the resistor?

### Diagram Explanation:

#### Top View:
- The diagram shows a wire or beam represented by two parallel lines.
- The wire has a circular cross-section in the middle.
- Marked with a symbol "R" on the left side. This could represent resistance or radius, depending on context.
- The length of the wire is indicated by "L" with a double-headed arrow.

#### Side View:
- The diagram depicts a block or object on an inclined plane.
- The plane is at an angle marked as "θ" (theta) to the horizontal.
- An upward-arrow vector field is directed perpendicular to the incline, labeled as "B". This might represent a magnetic field or another vector field.
- The object is placed on the inclined slope, possibly interacting with the field "B".

This structure is commonly used to depict physics concepts involving fields, forces, and inclined planes, such as the motion of an object under gravitational and magnetic influences.

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