problem we will use a 3-dimensional Cartesian coordinate system with coordinates x, y and z. In the cylindrical region defined by the inequality x2 + y2 < R2 the magnetic field is zero, while outside the cylindrical region the magnetic field points in the +z direction and has constant magnitude B. From the origin of our coordinate system an electron starts with velocity v0= eBR/m in the positive x direction (here e is the elementary charge and m is the mass of the electron). Sketch the trajectory of the electron and find the period of its motion.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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In this problem we will use a 3-dimensional Cartesian coordinate system with coordinates x, y and z. In the cylindrical region defined by the inequality x2 + y2 < R2 the magnetic field is zero, while outside the cylindrical region the magnetic field points in the +z direction and has constant magnitude B. From the origin of our coordinate system an electron starts with velocity

v0= eBR/m in the positive x direction (here e is the elementary charge and m is the mass of the electron). Sketch the trajectory of the electron
and find the period of its motion.

Expert Solution
Step 1

Force F = ma = m dv/dt

Force on charge particles in magnetic field is always perpendicular to magnetic field 

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