Magnitude and direction of uniform magnetic field

AI Thread Summary
To ensure the proton passes through undeflected in the presence of a uniform electric field, the magnetic force must equal the electric force acting on it. The electric force can be calculated using F = qE, where q is the charge and E is the electric field strength. The magnetic force is given by F = qvB, where v is the velocity and B is the magnetic field strength. By setting these forces equal, the required magnetic field can be determined using the relationship B = E/v. The discussion emphasizes the importance of understanding the interplay between electric and magnetic fields in particle motion.
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Homework Statement


A proton, with mass 1.67*10^-27 kg and charge +1.6*10^-19C, is sent with velocity 5.0*10^4 m/s in the x-direction into a region where there is uniform electric field of magnitude 390 V/m in the y direction. What is the magnitude and direction of the uniform magnetic field in the region, if the proton is to pass through undeflected? Assume that the magnetic field has no x-component. Neglect gravitational effects.


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The Attempt at a Solution


I have no idea where to even begin with this one! Any helps is greatly appreciated!
 
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Think about controling velocity for a mass spectrometer. You know the E field and Velocity, how do they relate to the B field? (charge cancels in the balanced equation.)
 
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