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Problem 22.8: Circular motion and charged objects
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A positive test charge of 1 x 10-5 C with a mass of 0.9 kg is shown near a variable charge with a fixed position (at the origin). You may change the charge of the central charge and the initial velocity of the test charge (position is given in meters and time is given in seconds). Restart.
Set the charge of the central charge to -20 x 10-5 C.
- What initial velocity must you give the test charge so that the test charge can make it from its starting place to the finish line in a circular path?
- For an arbitrary negative central charge, Q, what initial velocity must you give the test charge so that the test charge can make it from its starting place to the finish line in a circular path? Your answer should be a formula for v in terms of Q. When you have an answer, test it with Q = -10 x 10-5 C and Q = -30 x 10-5 C.