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In this problem, i and j refer to unit vectors in the X and Y directions respectively. A small particle whose mass is 10-12 kg and carrying a net charge of +5 μC enters a region of space where the magnetic field is 2T i. The velocity of the particle at some instant of time is 0.03C i + 0.04Cj (where C = speed of light).
If the magnetic field were to be directed perpendicular to the particle instead of in the X direction as given, what would be the radius of the particle's resulting circular motion?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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