Troubleshooting F = q v B sin(theta) Calculation

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SUMMARY

The discussion centers on the calculation of force using the equation F = q v B sin(theta), where F is the force, q is the charge, v is the velocity, and B is the magnetic field strength. The user initially calculated F as 75 N using values of q = 10 mC, v = 300 m/s, B = 5 x 10^-5 T, and an angle theta of 0.5 radians. However, the correct interpretation of theta, derived from the angle between vectors v and B, is crucial for accurate results, leading to a revised force calculation of 129.9 µN. The discussion highlights the importance of understanding vector angles in physics calculations.

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  • Understanding of the Lorentz force equation F = q v B sin(theta)
  • Knowledge of vector operations and angles in physics
  • Familiarity with units of charge (mC) and force (N)
  • Basic trigonometry to calculate angles
NEXT STEPS
  • Study vector addition and the concept of placing vectors tail-to-tail
  • Learn about trigonometric functions and their applications in physics
  • Research the implications of Kirchhoff's current law in circuit analysis
  • Explore advanced applications of the Lorentz force in electromagnetic theory
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Students studying physics, particularly those focusing on electromagnetism, as well as educators and tutors looking to clarify concepts related to force calculations and vector analysis.

MichaelTam
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Homework Statement
Exercise
Relevant Equations
## F = q v B sin(theta) ##, q=10mC for the airplane , the other statement are in the picture below.
I use the equation find that ## F = q v B sin(theta) ##
F = 0.01*300*5*10^-5*0.5
F =75 N
I don’t know why my solution is not correct?
 

Attachments

  • 7FF70F5A-B80C-43AF-88B1-CCEB50C0373E.png
    7FF70F5A-B80C-43AF-88B1-CCEB50C0373E.png
    25.7 KB · Views: 178
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MichaelTam said:
Homework Statement:: Exercise
Relevant Equations:: ## F = q v B sin(theta) ##, q=10mC for the airplane , the other statement are in the picture below.

I use the equation find that ## F = q v B sin(theta) ##
F = 0.01*300*5*10^-5*0.5
F =75 N
I don’t know why my solution is not correct?
Your attachment does not seem to show the whole question. It does not ask for the magnitude of the force and does not specify a charge.
 
Sorry , these are the updates.
 

Attachments

  • 134D2273-964F-4E7B-90BF-38A2EDE5BAD1.png
    134D2273-964F-4E7B-90BF-38A2EDE5BAD1.png
    24.4 KB · Views: 140
In the formula ## F = q v B sin(theta) ##, what is theta?
How does that compare with ##\alpha## in the diagram?
 
Theta is ##pi/2 - pi/6##
 
So I get 129.9 micro Newton .
 
Thanks a lot!
 
But why theta is pi/2-pi/6. Thanks a lot.
 
IloveMathPhychembio said:
But why theta is pi/2-pi/6. Thanks a lot.
What is the angle between vectors ##\mathbf{v}## and ##\mathbf{B}##? Remember that the vectors must be placed tail-to-tail.
 
  • #10
kuruman said:
What is the angle between vectors ##\mathbf{v}## and ##\mathbf{B}##? Remember that the vectors must be placed tail-to-tail.
Thanks for your help and BTW do you know smth about kirchhoff's current law I've watch sooooo much videos about it and I don't understand why.
 
  • #11
IloveMathPhychembio said:
Thanks for your help and BTW do you know smth about kirchhoff's current law I've watch sooooo much videos about it and I don't understand why.
Thanks a lot for your help too 🙏👍😁
 
  • #12
IloveMathPhychembio said:
Thanks for your help and BTW do you know smth about kirchhoff's current law I've watch sooooo much videos about it and I don't understand why.
I do know smth about Kirchhoff laws, but if u want to ask a question about them, u have to start a new thrd.
 
  • #13
I opened the thread called charge on cloud coulomb law cause I’ve finish the question by researching online day and night but thanks for your nice help and can you help me to deal with the new question🙏🏻🙏🏻🙏🏻
 

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