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Two identical conducting small spheres are placed with their centers 0.400 m apa

ID: 3161732 • Letter: T

Question

Two identical conducting small spheres are placed with their centers 0.400 m apart. One is given a charge of -12.0 nC and the other a charge of -14.0 nC.

(a) Find the electric force exerted by one sphere on the other.


(b) The spheres are connected by a conducting wire. Find the electric force each exerts on the other after they have come to equilibrium.

magnitude
This is the correct answer if the charges had been given in Coulombs rather than nC. N direction ---Select--- toward the other sphere away from the other sphere

Explanation / Answer

a)

F = k*Q1*Q2/r^2

= 9*10^9*(12*10^-9)*(14*10^-9)/0.4^2

= 9.45*10^-6 N

direction = away from the other sphere

b)

Charges will distribute equally on each

So, charges on each = (-12-14)/2 = -13 nC

So, force , F = 9*10^9*(13*10^-9)*(13*10^-9)/0.4^2

= 9.51*10^-6 N <-------answer

direction = away from the oher sphere

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