Magnitude of the net force that acts on the charge

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SUMMARY

The discussion focuses on calculating the net force acting on a positive 1.8 µC charge moving in a magnetic field of 1.2 x 10-3 T and an electric field of 6.0 x 103 N/C, both aligned in the same direction. The Lorentz force law, expressed as F = q(E + v x B), is utilized to derive the net force. The user successfully applies the equations F = qE and F = qvB, ultimately calculating the net force using the Pythagorean theorem for perpendicular forces.

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  • Understanding of the Lorentz force law
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A magnetic field has a magnitude of 1.2 10-3 T, and an electric field has a magnitude of 6.0 103 N/C. Both fields point in the same direction. A positive 1.8 µC charge moves at a speed of 2.6 106 m/s in a direction that is perpendicular to both fields. Determine the magnitude of the net force that acts on the charge.

Okay, i know that Fnet=the square root of Fe^2+Fb^2, and after drawing a diagram, i think that they are 2 perpendicular forces, but I don't know what to plug into the equation, or where to begin. :confused:
 
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you want to start with the Lorentz force law. It states that the vector forces an electric charge will feel from a magnetic and electric field are

F = q(E + v x B) where E, v, and B are vectors and the x denotes the cross product. Pick any direction for the velocity (say the z direction) and then calculate the vector force. I think the other equaiton you have will just give you a magnitude.
 
thank u so much... that definitely helped...i solved the problem by doing:F=qE F=qvB then (qE)squared +(qvB)squared than i took the square root of that total :)
 

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