·The plane of a 5.0 cm by 8.0 cm rectangular loop of wire is parallel to a 0.19 T magnetic field

Name: Problem 35, Chapter 20: College Physics
Uploaded: 2020-04-03T08:21:12-08:00
Duration: 2 min 23 s
Channel: Salamat Ali
Description: ·The plane of a 5.0 cm by 8.0 cm rectangular loop of wire is parallel to a 0.19 T magnetic field, and the loop carries a cur- rent of 6.2 A . (a) What torque acts on the loop? (b) What is the magnetic moment of the loop?

step 1 A rectangular loop of a dimensions given 5 cm is the width and 8 centimeter is the length is ins

Question

$\cdot$ The plane of a 5.0 $\mathrm{cm}$ by 8.0 $\mathrm{cm}$ rectangular loop of wire is parallel to a 0.19 T magnetic field, and the loop carries a cur- rent of 6.2 $\mathrm{A}$ . (a) What torque acts on the loop? (b) What is the magnetic moment of the loop?

   $\cdot$ The plane of a 5.0 $\mathrm{cm}$ by 8.0 $\mathrm{cm}$ rectangular loop of wire is parallel to a 0.19 T magnetic field, and the loop carries a cur- rent of 6.2 $\mathrm{A}$ . (a) What torque acts on the loop? (b) What is the magnetic moment of the loop?

College Physics

Hugh D. Young 9th Edition

Chapter 20, Problem 35

Instant Answer

Solved by Expert Salamat Ali

04/03/2020

Step 1

Step 1: The torque on the loop can be calculated using the formula: \[ \tau = I \cdot A \cdot B \cdot \sin{\phi} \] where $I$ is the current, $A$ is the area of the loop, $B$ is the magnetic field, and $\phi$ is the angle between the normal of the loop and Show more…

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$\cdot$ The plane of a 5.0 $\mathrm{cm}$ by 8.0 $\mathrm{cm}$ rectangular loop of wire is parallel to a 0.19 T magnetic field, and the loop carries a cur- rent of 6.2 $\mathrm{A}$ . (a) What torque acts on the loop? (b) What is the magnetic moment of the loop?

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Key Concepts

Magnetic Moment

The magnetic moment is a vector quantity that represents the strength and orientation of the magnetic source created by the current loop. It is calculated by the product of the current in the loop and the area of the loop (? = I A for a planar loop), and it determines how the loop interacts with an external magnetic field, influencing the torque it experiences.

Magnetic Torque on a Current Loop

This concept refers to the rotational force experienced by a current-carrying loop when it is placed in a magnetic field. The torque arises due to the interaction between the loop’s magnetic moment and the external magnetic field, and its magnitude is given by ? = ?B sin?, where ? is the magnetic moment, B is the magnetic field strength, and ? is the angle between ? and the field.

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