Finding magnetic flux-it's all worked, just have one question

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SUMMARY

The discussion focuses on calculating magnetic flux through a circular loop of wire in a magnetic field. A 15-cm-diameter loop is subjected to a 0.60-T magnetic field, with the magnetic flux calculated when the loop is perpendicular to the field lines and at a 36° angle. The magnetic flux is determined using the formula φB = BAcosθ. The user successfully calculates the initial flux as 1.1E-2 Wb but struggles with the cosine calculation for the angle, which is confirmed to be cos(55°) = 0.5736.

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  • Understanding of magnetic flux and its calculation
  • Familiarity with the formula φB = BAcosθ
  • Basic knowledge of trigonometric functions, specifically cosine
  • Ability to perform calculations involving scientific notation
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  • Review the concept of magnetic flux in electromagnetism
  • Practice using the formula φB = BAcosθ with different angles
  • Learn how to use a scientific calculator for trigonometric functions
  • Explore applications of magnetic flux in real-world scenarios
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Students studying physics, particularly those focusing on electromagnetism, as well as educators looking for examples of magnetic flux calculations.

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Finding magnetic flux--it's all worked, just have one question

Homework Statement



A 15-cm-diameter circular loop of wire is placed in a 0.60-T magnetic field.
Enter scientific notation as 1.23E4.

When the plane of the loop is perpendicular to the field lines, what is the magnetic flux through the loop?


The plane of the loop is rotated until it makes a 36° angle with the field lines. What is the angle in Eq. 21-1 in your textbook, , for this situation?


What is the magnetic flux through the loop at this angle?


Homework Equations



[tex]\phi[/tex]B=BA=B][tex]\pi[/tex]r2

[tex]\phi[/tex]B=BAcos[tex]\theta[/tex]=B[tex]\pi[/tex]r2

The Attempt at a Solution



a. (.60T)*[tex]\pi[/tex]*0.075m2=1.1E-2Wb

b. [tex]\theta[/tex]=55 degrees

c. (0.60T)*[tex]\pi[/tex]*0.075m2*cos55 degrees



I can get the 1st two questions correct, I know because it is online homework, but I can't get "c" right. It has been a while since I have had math with trig functions so I can't remember exactly how to calculate cosine. Can someone help me out.
 
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Do it with a calculator; cos(55 deg) = 0.5736.
 

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