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An electron is traveling through a uniform magnetic field with strength B = 0.05 T pointing...

An electron is traveling through a uniform magnetic field with strength B = 0.05 T pointing in the +z direction. The speed of the electron is v = 30 000 000.0 m s , and it travels in the +x direction.

1. What is the magnitude of the acceleration of the electron?

2. The electron will travel along a circle inside the uniform field. What will the diameter of this circle be?

3. How long will it take the electron to complete one trip around the circle?

4. Assume that the electron is traveling in the +x direction at time t = 0. At what time will it be traveling in the -y direction?

5. It is possible to create a uniform electric field (with a parallel plate capacitor for example) such that the electron would not be accelerated, and instead travel along a straight line. Determine the direction and magnitude of this field.

6. Consider a proton traveling through the same uniform magnetic field. If the proton travels with speed v = 300 m s along a path that makes an angle of 20° below the x-y plane, what will the magnitude of the magnetic force exerted on the proton be?

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