**Problem Statement:**A 3.0 m long wire carrying a current of 1.0 A through a magnetic field of magnitude 17.0 T experiences a force of 8.0 N entirely due to the current passing through the magnetic field. What angle does the wire make with the magnetic field? **Explanation:**To find the angle, you can use the formula for the magnetic force on a current-carrying wire:\[ F = I \cdot L \cdot B \cdot \sin(\theta) \]Where:- \( F \) is the force (8.0 N)- \( I \) is the current (1.0 A)- \( L \) is the length of the wire (3.0 m)- \( B \) is the magnetic field strength (17.0 T)- \( \theta \) is the angle between the wire and the magnetic fieldThe task is to solve for \( \theta \).

Answered: Image /qna-images/answer/78d83209-bf65-46fe-8880-26ae443da512.jpg

A 3.0 m long wire carrying a current of 1.0 A through a magnetic field of magnitude 17.0 T experiences a force of 8.0 N entirely due to the current passing through the magnetic field. What angle does the wire make with the magnetic field?

A 3.0 m long wire carrying a current of 1.0 A through a magnetic field of magnitude 17.0 T experiences a force of 8.0 N entirely due to the current passing through the magnetic field. What angle does the wire make with the magnetic field?

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 Statement:**

A 3.0 m long wire carrying a current of 1.0 A through a magnetic field of magnitude 17.0 T experiences a force of 8.0 N entirely due to the current passing through the magnetic field. What angle does the wire make with the magnetic field?

**Explanation:**

To find the angle, you can use the formula for the magnetic force on a current-carrying wire:

\[ F = I \cdot L \cdot B \cdot \sin(\theta) \]

Where:
- \( F \) is the force (8.0 N)
- \( I \) is the current (1.0 A)
- \( L \) is the length of the wire (3.0 m)
- \( B \) is the magnetic field strength (17.0 T)
- \( \theta \) is the angle between the wire and the magnetic field

The task is to solve for \( \theta \).

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