Question

A straight, horizontal segment of wire carries a current in the $+x$ -direction in a magnetic field that is directed in the $-z$ -direction. (a) Is the magnetic force on the wire directed in the $(1)-x-,(2)+z-,(3)+y-,$ or (4) $-y$ -direction? Explain. (b) If the wire is $1.0 \mathrm{~m}$ long and carries a current of $5.0 \mathrm{~A}$ and the magnitude of the magnetic field is $0.30 \mathrm{~T}$, what is the magnitude of the force on the wire?

Name: Problem 20, Chapter 19: College Physics
Uploaded: 2021-05-12T09:36:24-08:00
Duration: 1 min 7 s
Channel: Narayan Hari

   A straight, horizontal segment of wire carries a current in the $+x$ -direction in a magnetic field that is directed in the $-z$ -direction. (a) Is the magnetic force on the wire directed in the $(1)-x-,(2)+z-,(3)+y-,$ or (4) $-y$ -direction? Explain.
(b) If the wire is $1.0 \mathrm{~m}$ long and carries a current of $5.0 \mathrm{~A}$ and the magnitude of the magnetic field is $0.30 \mathrm{~T}$, what is the magnitude of the force on the wire?

College Physics

Jerry D. Wilson,… 7th Edition

Chapter 19, Problem 20

Instant Answer

Solved by Expert Narayan Hari

05/12/2021

Step 1

If the thumb of the right hand points in the direction of the current and the fingers curl in the direction of the magnetic field, then the force on the wire is directed outwards from the palm of the hand. In this case, the current is in the $+x$ direction and the Show more…

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A straight, horizontal segment of wire carries a current in the $+x$ -direction in a magnetic field that is directed in the $-z$ -direction. (a) Is the magnetic force on the wire directed in the $(1)-x-,(2)+z-,(3)+y-,$ or (4) $-y$ -direction? Explain. (b) If the wire is $1.0 \mathrm{~m}$ long and carries a current of $5.0 \mathrm{~A}$ and the magnitude of the magnetic field is $0.30 \mathrm{~T}$, what is the magnitude of the force on the wire?

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Key Concepts

Magnetic Force on a Current-Carrying Conductor

This concept refers to the force experienced by a conductor carrying an electric current when placed in a magnetic field. The force arises due to the interaction between the magnetic field and the moving charges in the conductor, and its magnitude and direction are governed by the equation F = I (L × B), where I is the current, L is the length vector of the wire, and B is the magnetic field.

Right-Hand Rule and Cross Product

The right-hand rule is a mnemonic for determining the direction of the vector resulting from a cross product. In the context of the magnetic force, you point your thumb in the direction of the current (or the vector L), and your fingers in the direction of the magnetic field (B); your palm then faces the direction of the force acting on the conductor. This rule is essential for visualizing and predicting the direction of the force on a current-carrying wire in a magnetic field.

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