How Do You Calculate Bx in a Magnetic Field Problem Involving an Electron?

AI Thread Summary
To calculate Bx in the magnetic field problem involving an electron, the magnetic force equation Fb = |q|v x B is essential. Given the magnetic field B = Bxi + (3.0Bx)j and the electron's velocity v = (2.0i + 4.0j)m/s, the cross product must be computed. The resulting force is provided as (6.4 x 10^-19 N)k, indicating the direction of the force. A matrix approach is suggested to solve for Bx, which ultimately leads to the correct value. The discussion concludes with the problem being solved successfully.
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Homework Statement


An electron moves through a uniform magnetic field given by B = Bxi+(3.0Bx)j. At a particular instant, the electron has velocity v = (2.0i+4.0j)m/s and the magnetic force acting on it is (6.4x10-19N)k. Find Bx.

Homework Equations



Fb=|q|v x B

The Attempt at a Solution



B = Bxi + (3Bx)j + 0zk
v = 2xi + 4yj + 0zk
Fb = 0xi + 0yj + (6.4 * 10^[-19]N)k

I'm sure I need a matrix. But i can't figure it out, help!
 
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