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(a) A small plastic bead with a charge of −60.0 nC is at the center of...

(a) A small plastic bead with a charge of −60.0 nC is at the center of an insulating rubber spherical shell with an inner radius of 20.0 cm and an outer radius of 32.0 cm. The rubber material of the spherical shell is charged, with a uniform volume charge density of −3.95 µC/m3. A proton moves in a circular orbit just outside the spherical shell. What is the speed of the proton (in m/s)?

(b) What If? Suppose the spherical shell carries a positive charge density instead. What is the maximum value the charge density (in µC/m3) the spherical shell can have below which a proton can orbit the spherical shell?

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