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An electron follows a helical path in a uniform magnetic field given by = (16 i...

An electron follows a helical path in a uniform magnetic field given by = (16 i ̂ - 54 j ̂ - 37 k ̂ ) mT. At time t = 0, the electron's velocity is given by v → = (21 i ̂ - 35 j ̂ + 55 k ̂ ) m/s. (a) What is the angle φ between v → and B → ? The electron's velocity changes with time. (b) Do its speed changes with time? (c) Do its angle φ changes with time? (d) What is the radius of the helical path?

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