**Problem Statement: Magnetic Flux Calculation**A uniform magnetic field of magnitude 10 T is situated in the yz-plane and directed at an angle θ = 100° from the +y-axis. Determine the magnetic flux through a rectangular area measuring 10 m by 5.9 m located in the xy-plane.**Conventions:**- The angle θ is measured starting from the +y-axis towards the +z-axis.- The area vector of the rectangle is directed in the +z-direction.- Note that electric flux can be positive or negative.**Instructions:**- Calculate the magnetic flux by considering the dot product of the magnetic field vector and the area vector.- Ensure appropriate use of trigonometric components based on the given angle and conventions.

Magnetic field is Area is Angle made by magnetic field with +y-axis towards +z-axis is Note:Find:The…

Answered: A 10 T uniform magnetic field in the…

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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**Problem Statement: Magnetic Flux Calculation**

A uniform magnetic field of magnitude 10 T is situated in the yz-plane and directed at an angle θ = 100° from the +y-axis. Determine the magnetic flux through a rectangular area measuring 10 m by 5.9 m located in the xy-plane.

**Conventions:**
- The angle θ is measured starting from the +y-axis towards the +z-axis.
- The area vector of the rectangle is directed in the +z-direction.
- Note that electric flux can be positive or negative.

**Instructions:**
- Calculate the magnetic flux by considering the dot product of the magnetic field vector and the area vector.
- Ensure appropriate use of trigonometric components based on the given angle and conventions.

Expert Solution

Step 1: Given data

Magnetic field is $B equals 10 space straight T$

Area is $A equals 10 space straight m cross times 5.9 space straight m$

Angle made by magnetic field with +y-axis towards +z-axis is $theta equals 100 to the power of degree$

Note:

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Find:

The magnetic flux through given area in xy-plane.

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