wo tiny conducting spheres are identical and carry charges of -29.4C and +70.0C.

Question

wo tiny conducting spheres are identical and carry charges of -29.4C and +70.0C. They are separated by a distance of 2.66 cm. (a) What is the magnitude of the force that each sphere experiences? (b) The spheres are brought into contact and then separated to a distance of 2.66 cm. Determine the magnitude of the force that each sphere now experiences.

Explanation / Answer

F (elec) = 9*10^9 Q1Q2/r^2 F (elec) = - 9*10^9 [29.4*70*10^-12]/2.66*10^-2]^2 F = (attractive) >> experienced by each ============= spheres touched >> charge from one will flow onto another till their potential differences get equal net total charge by conservation of charge Q = Q1+Q2 = - 29.4 + 70 = 40.6 µC both will share Half-half Q1' = Q/2 = +12 µC Q2' = +20.3 µC F (new) = + 9*10^9 [20.3*20.3*10^-12]/2.66*10^-2]^2 = (repulsive)

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