Please read the example includes carefully. Now answer this question: C secure l

Question

Please read the example includes carefully. Now answer this question: C secure l https://etextpearson.com/e/book/99OMIVASPC12deeplink: truedplatforms-ide master PEARSON Chapter 23. The Electric Field 23.7 Motion of a Dipole in an Electric Field SM. 650 Challenge Example 23.11 An orbiting proton In a vacuum chamber, a proton orbits a 1.0-cm-diameter metal ball 1.0 mm above the surface with a period of 1.0 . what is the charge on the ball? MODEL Model the ball as a charged sphere. The electric field of a charged sphere is the same as that of a point charge at the center, so the radius of the ball is irrelevant. Assume that the gravitational force on the proton is extremely small compared to the electric force and can be neglected VISUALIZE Figure 23.320 shows the orbit and the force on the proton. Figure 23.32 An orbiting proton. eleo

Explanation / Answer

for circular motion,

electric force will act as centripetal force.

Fe = m w^2 r and w = (2 pi / T)

k q1 q2 / r^2 = m (2 pi / T)^2 r

(9 x 10^9)(1.6 x 10^-19)(q) = (1.67 x 10^-27)(2 pi / (1 x 10^-6))^2 (0.011)^3

q = - 60.9 x 10^-12 C

or - 60.9 pC

( force is attractive hence charge on ball have to negative)

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