How to find the angle between wire and magnetic field

AI Thread Summary
To find the angle between the wire and the magnetic field, the equation F = BILsin(Theta) is used, where F is the force, B is the magnetic field strength, I is the current, and L is the length of the wire. Given the values, the equation simplifies to 5.46 N = 0.655 m * 21.0 A * 0.470 T * sin(Theta). Solving for sin(Theta) yields approximately 0.8446. To find Theta, the inverse sine function is necessary, which can be calculated using a scientific calculator or trigonometric tables. Understanding inverse trigonometric functions is essential for completing this calculation.
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Homework Statement



A wire of length 0.655 m carries a current of 21.0 A. In the presence of a 0.470-T
magnetic field, the wire experiences a force of 5.46 N. What is the angle (less than
90degrees) between the wire and the magnetic field?


Homework Equations



Is there a special formula to solve this equation?
If what I have done below is correct, how do I find Theta if all I know is
the sin of Theta?

The Attempt at a Solution


I used the equation F=BILsinTheta
5.46=.655m*21.0A*.470T*sinTheta
5.46=6.46485*sinTheta
5.46/6.46485=sinTheta
.844567 = sinTheta
 
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Err... How far along are you in math? Have you ever encountered inverse trig functions?
 

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