A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figure below) that are d = 12.0 cm apart and L = 45.0 cm long. The rod carries a current of I = 68.0 A in the direction shown and rolls along the rails without slipping. A uniform magnetic field of magnitude 0.530 T is directed perpendicular to the rod and the rails. If it starts from rest, what is the speed of the rod as it leaves the rails? (Assume that the rod is of uniform density.) The diagram illustrates a physical setup involving a sliding rod in a magnetic field. Here are the key components:- **Rod (Labeled as I):** A conducting rod is shown with a current (I) flowing through it, as indicated by the arrow on the rod.- **Magnetic Field (\( \vec{B} \)):** The area is exposed to a magnetic field, represented by green arrows pointing downward, perpendicular to the plane of the rod and rails.- **Rails (Distance L):** Two parallel conductive rails support and guide the rod. The length of the rails is denoted by \( L \).- **Distance (d):** The distance between the initial position of the rod and the ending position along the rails is marked as \( d \).This setup is typically used to illustrate electromagnetic induction principles, such as those found in Faraday's and Lenz's laws, as the rod moves through the magnetic field, inducing an electromotive force (EMF).

mass of rod (m)=0.720kg radius of rod(r)=6cm=0.06m distance between rail(d)=12cm=0.12m length of…

Answered: A rod of mass 0.720 kg and radius 6.00…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figure below) that are d = 12.0 cm apart and L = 45.0 cm long. The rod carries a current of I = 68.0 A in the direction shown and rolls along the rails without slipping. A uniform magnetic field of magnitude 0.530 T is directed perpendicular to the rod and the rails. If it starts from rest, what is the speed of the rod as it leaves the rails? (Assume that the rod is of uniform density.)

The diagram illustrates a physical setup involving a sliding rod in a magnetic field. Here are the key components:

- **Rod (Labeled as I):** A conducting rod is shown with a current (I) flowing through it, as indicated by the arrow on the rod.

- **Magnetic Field (\( \vec{B} \)):** The area is exposed to a magnetic field, represented by green arrows pointing downward, perpendicular to the plane of the rod and rails.

- **Rails (Distance L):** Two parallel conductive rails support and guide the rod. The length of the rails is denoted by \( L \).

- **Distance (d):** The distance between the initial position of the rod and the ending position along the rails is marked as \( d \).

This setup is typically used to illustrate electromagnetic induction principles, such as those found in Faraday's and Lenz's laws, as the rod moves through the magnetic field, inducing an electromotive force (EMF).

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