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Chapter 21: Q65P (page 629)

The initial charges on the three identical metal spheres in Fig. 21-24 are the following: sphere A, Q; sphere B, 鈭�Q/4; and sphere C, Q/2, where Q=2.00脳10鈭�14C. Spheres Aand Bare fixed in place, with a center-to-center separation of d=1.20m, which is much larger than the spheres. Sphere Cis touched first to sphere Aand then to sphere Band is then removed. What then is the magnitude of the electrostatic force between spheres Aand B?

Short Answer

Expert verified

F=4.68脳10鈭�19N

Step by step solution

01

Given

Sphere A, Q; sphere B, -Q/4; and sphere C, Q/2, whereQ=2.00脳10鈭�14C

d = 1.20 m

02

Understanding the concept

UseCoulomb鈥檚 law to solve the problem.

03

Calculate the magnitude of the electrostatic force between spheres A and B

When sphere C touches sphere A, they divide up their total charge (Q/2 + Q) equally between them. Thus, sphere A now has charge 3Q/4, and the magnitude of the force of attraction between A and B becomes

F=k(3Q/4)(Q/4)d2=4.68脳10鈭�19N

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Most popular questions from this chapter

In Fig. 21-26, particle 1 of charge q1=鈭�80.0渭颁and particle 2 of charge q2=+40.0渭颁are held at separation L=20.0鈥塩尘on an xaxis. In unit-vector notation, what is the net electrostatic force on particle 3, of charge q3=20.0鈥壩及�, if particle 3 is placed at (a)x=40.0cm and (b) x=80.0鈥塩尘? What should be the (c) xand (d) ycoordinates of particle 3 if the net electrostatic force on it due to particles1 and 2 is zero?

In Fig. 21-26, particle 1 of charge +1.0渭Cand particle 2 of charge -3.0鈥�渭Care held at separation L=10.0cm on an x-axis. If particle 3 of unknown charge q3is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the (a) xand (b) ycoordinates of particle 3?

Three particles are fixed on an x-axis. Particle 1 of charge q1 is at x=-a, and particle 2 of charge q2is at x=+a. If their net electrostatic force on particle 3 of charge -Qis to be zero, what must be the ratio q1 /q2when particle 3 is at (a)x=+0.500a and (b) x=+1.50a?

Question: Two tiny, spherical water drops, with identical charges of-1.00脳10-16C, have a center-to-center separation of 1.00 cm. (a) What is the magnitude of the electrostatic force acting between them? (b) How many excess electrons are on each drop, giving it its charge imbalance?

In Fig. 21-39, two tiny conducting balls of identical mass mand identical charge hang from non-conducting threads of length L. Assume that u is so small that tan u can be replaced by its approximate equal, sin u.

(a) Show thatx=(q2L2蟺蔚0mg)1/3gives the equilibrium separation xof the balls.

(b) If L=120cm,and, x=5.0cmwhat is|q|?
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