**Magnetic Flux Calculations**A circular area with a radius of 6.30 cm lies in the *xy*-plane.For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of [Magnetic flux calculations](#).---### Part AWhat is the magnitude of the magnetic flux through this circle due to a uniform magnetic field with a magnitude of 0.300 T in the + *z*-direction?\[\Phi_B = \_\_\_\_\_\_ \, \text{Wb}\][Submit] [Request Answer]---### Part BWhat is the magnitude of the magnetic flux through this circle due to the same magnetic field (with a magnitude of 0.300 T), now at an angle of 54.0° from the + *z*-direction?\[\Phi_B = \_\_\_\_\_\_ \, \text{Wb}\][Submit] [Request Answer]

Answered: A circular area with a radius of 6.30…

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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**Magnetic Flux Calculations**

A circular area with a radius of 6.30 cm lies in the *xy*-plane.

For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of [Magnetic flux calculations](#).

---

### Part A

What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field with a magnitude of 0.300 T in the + *z*-direction?

\[
\Phi_B = \_\_\_\_\_\_ \, \text{Wb}
\]

[Submit] [Request Answer]

---

### Part B

What is the magnitude of the magnetic flux through this circle due to the same magnetic field (with a magnitude of 0.300 T), now at an angle of 54.0° from the + *z*-direction?

\[
\Phi_B = \_\_\_\_\_\_ \, \text{Wb}
\]

[Submit] [Request Answer]

Expert Solution

Step 1: Magnetic flux

Write the expression for the magnetic flux through the circle and substitute the corresponding values.

$table row cell ϕ equals B A cos theta end cell row cell ϕ equals B left parenthesis pi r squared right parenthesis cos 0 degree end cell row cell ϕ equals left parenthesis 0.3 text T end text right parenthesis left parenthesis pi right parenthesis left parenthesis 6.30 text cm end text cross times fraction numerator 1 text m end text over denominator 100 text cm end text end fraction right parenthesis squared left parenthesis 1 right parenthesis end cell row cell ϕ equals 3.74 cross times 10 to the power of negative 3 end exponent text wb end text end cell end table$

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