PRINTER VERSIONBACK ES Chapter 21, Problem 048 In the figure three identical con

Question

PRINTER VERSIONBACK ES Chapter 21, Problem 048 In the figure three identical conducting spheres form an equilateral triangle of side lengtha 5,7 cm. The sphere radii are much smaller than d and the sphere charges are qA = 2.53 nc, qB = 5.01 nC, and @c -+6.8 nC a) what is the magnitude or the electrostatic force between spheres A and C2 The following steps are taken: A and B are connected by a thin wire and then disconnected: B is grounded by the wire, and the wire is then remaved, 8 and C are cannected by the wire and then disconnected. What now are the magnitudes of the electrostatic farce (b) between, spheres A and C and (c) between spheres B and C? (a) Number (b) Numben (c) Number Units Units units Question Attempts: 0 of 5 used SAVE FOR LATER SUBMIT ANSWER udy

Explanation / Answer

side length, d=15.7 cm

qA=-2.53nC

qB=-5.01nC

qC=6.85nC

a)

force between A and C is,

F_AC=k*qA*qB/d^2

=9*10^9*2.53*10^-9*5.01*10^-9/(15.7*10^-2)^2

=4.63*10^-6 N ( repulsive)

b)

here,

after connecting a thin wire,

the charge at A is, qa=-(2.53+5.01)/2

qa=-3.77 nC

and

charge at B and C is, qB=6.85nC/2 = 3.425 nC

and qC=3.425 nC

now,

F_AC=9*10^9*3.77*10^-9*3.425*10^-9/(15.7*10^-2)^2

=4.715*10^-6 N (attractive)

c)

force between point B and C is,

F_BC=9*10^9*3.425*10^-9*3.425*10^-9/(15.7*10^-2)^2

=4.283*10^-6 N (repulsive)

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