Electric and magnetic fields with electron

AI Thread Summary
An electron is traveling through an electric field E and a magnetic field B, with E oriented along the y-axis and B perpendicular to both E and the electron's velocity. The net force acting on the electron is represented as a function of its speed, showing a linear relationship on a graph. The relevant equation for the net force is Fnet = q(E + v x B), leading to the conclusion that B can be expressed as B = E/v when Fnet equals zero. The challenge lies in determining the values of E and B, particularly since the problem lacks sufficient information to relate voltage to velocity. Further assistance is requested to complete the solution, particularly in finding E.
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Homework Statement


at time t1, an electron is sent along the positive direction of an x axis, through both an electric field E and a magnetic field B, with E directed parallel to the y axis. Figure 28-34 gives the y component Fnet, y of the net force of the electron due to the two fields, as a function of the electron's speed v at time t1. the x and z components of the net force are zero at t1. Assuming Bx=0, find the magnitude E and B in unit-vector notion.

the graph has the y-axis set as the net force in the y direction and the x-axis as the velocity of the electron. the y-axis goes from -2 through 2 and the x-axis goes from 0 to 100. the x-axis is zero at -2 on the y axis, and 100 at 2 on the y axis. the graph is a straight line through those two points.

Homework Equations


im not really sure

The Attempt at a Solution



to be honest i have no idea where to start on this one, any help would be appreciated.
 
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I think I'm in your class. I don't know if this is right but I think I have the idea.

Ok, becuase B is always perpendicular to v and E, B should be pointing in the page in the k direction. The formla you should use is Fnet=q(E+VxB) E,V,B are vectors. Becuase V and B are parallel their cross product is vB so now Fnet=q(E+vB). Your vectors will be stright lines when Fnet=0 so 0=q(E+vB). Obviously the q goes away and you are left with B=E/v, where E is the only vector. From here it gets a little trick. You have to use the KE formula for velocity. This is as far as I have gotten becuase you have to use voltage in the KE formula and I can't find a relation in the problem to get velocity for anything. If you figure the rest out could you post it so I can finish? I couldn't find the problm in the soultions manual unless it is number 7. 7 doesn't have a part b and it doesn't tell you how to find E. It uses V/m to find E, and again I have to clue to to find V.
 
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