**Problem Description:**A rod of mass \( m = 25 \, \text{kg} \) rests on two parallel rails that are \( L = 0.4 \, \text{m} \) apart. A current is introduced such that the rod carries a current \( I = 1.25 \, \text{A} \) in the direction from the bottom to the top as shown in the figure (into the page). A uniform magnetic field of magnitude \( B = 0.6 \, \text{T} \) is applied downward in the region. The rod moves a distance \( d = 6 \, \text{m} \) along the rails in a specified time period, ignoring friction on the rails and air resistance.**Diagram Explanation:**The diagram illustrates the setup with the following elements:- Two parallel lines representing the rails, spaced \( L = 0.4 \, \text{m} \) apart.- A horizontal rod across the rails.- An arrow representing the current \( I = 1.25 \, \text{A} \) in the rod.- Vertical arrows pointing downward, indicating the direction of the magnetic field \( B = 0.6 \, \text{T} \).**Tasks:**(a 5’) Calculate the magnetic field force \( F \) on the rod, and show the direction of the force on the rod.(b 5’) Compute the final velocity of the rod.(c 5’) How long does it take the rod to reach this velocity?

Answered: Image /qna-images/answer/f8ae94b5-d640-45aa-86ec-63fc68265098.jpg

(15') A rod of m= 25 kg rests on two parallel rails that are L = 0.4 m apart. Then we turn on the current, so the rod carries a current going between the rails (bottom to top in the figure, into the page) with a magnitude I = 1.25 A. A uniform magnetic field of magnitude B = 0.6 T pointing downward is applied to the region, as shown in the figure. The rod moves a distance d = 6 m along the rails in a given time period. Ignore the friction on the rails and the air resistance. L B (a 5') Calculate the magnetic field force F on the rod, and show the direction of the force on the rod. (b 5') Compute the final velocity of the rod. (c 5') How long does it take the rod to reach this velocity?

(15') A rod of m= 25 kg rests on two parallel rails that are L = 0.4 m apart. Then we turn on the current, so the rod carries a current going between the rails (bottom to top in the figure, into the page) with a magnitude I = 1.25 A. A uniform magnetic field of magnitude B = 0.6 T pointing downward is applied to the region, as shown in the figure. The rod moves a distance d = 6 m along the rails in a given time period. Ignore the friction on the rails and the air resistance. L B (a 5') Calculate the magnetic field force F on the rod, and show the direction of the force on the rod. (b 5') Compute the final velocity of the rod. (c 5') How long does it take the rod to reach this velocity?

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

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

**Problem Description:**

A rod of mass \( m = 25 \, \text{kg} \) rests on two parallel rails that are \( L = 0.4 \, \text{m} \) apart. A current is introduced such that the rod carries a current \( I = 1.25 \, \text{A} \) in the direction from the bottom to the top as shown in the figure (into the page). A uniform magnetic field of magnitude \( B = 0.6 \, \text{T} \) is applied downward in the region. The rod moves a distance \( d = 6 \, \text{m} \) along the rails in a specified time period, ignoring friction on the rails and air resistance.

**Diagram Explanation:**

The diagram illustrates the setup with the following elements:
- Two parallel lines representing the rails, spaced \( L = 0.4 \, \text{m} \) apart.
- A horizontal rod across the rails.
- An arrow representing the current \( I = 1.25 \, \text{A} \) in the rod.
- Vertical arrows pointing downward, indicating the direction of the magnetic field \( B = 0.6 \, \text{T} \).

**Tasks:**

(a 5’) Calculate the magnetic field force \( F \) on the rod, and show the direction of the force on the rod.

(b 5’) Compute the final velocity of the rod.

(c 5’) How long does it take the rod to reach this velocity?

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