Motors and Generators equation help?

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SUMMARY

The discussion focuses on calculating the angle a conductor makes with a magnetic field using the equation F = BIL sin θ. Given a conductor carrying 2.5A experiencing a force of 0.6N in a magnetic field of intensity 2.0T, the angle θ can be determined using the rearranged formula θ = arcsin(F / (BIL)). The maximum force occurs when θ is 90 degrees, while zero force occurs when θ is 0 degrees or 180 degrees.

PREREQUISITES
  • Understanding of electromagnetic principles, specifically the Lorentz force.
  • Familiarity with trigonometric functions, particularly the arcsine function.
  • Basic knowledge of units of measurement in physics, such as amperes (A), teslas (T), and newtons (N).
  • Ability to manipulate algebraic equations to isolate variables.
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  • Study the principles of electromagnetism, focusing on the Lorentz force law.
  • Learn about the applications of the arcsine function in physics problems.
  • Explore the concept of magnetic field intensity and its effects on conductors.
  • Investigate the conditions for maximum and zero force in electromagnetic systems.
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Physics students, electrical engineers, and anyone interested in understanding the behavior of conductors in magnetic fields.

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Motors and Generators equation help!?

1. A conductor carrying 2.5A experiences a force on 0.6N when 0.4m of its length is placed in a magnetic field of intensity 2.0T.

a) Find the angle the conductor makes with the field
b) Predict the angle where the conductor will experience maximum force.
c) Predict the where the conductor will experience zero force.


2. I know we must use the equation F = BIL sin theta, I am just confused on how to re-arrange equation in order to find the angle.
 
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You have to use the inverse sine function, or arcsin.
$$
\Rightarrow \theta=\arcsin(\frac{F}{BIL}).
$$
Your calculator probably has a button that says ##\sin^{-1}##. This is the arcsin.
 


thank you so much!
 

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