Two tiny conducting spheres are identical and carry charges of -15.5C and +63.7C

Question

Two tiny conducting spheres are identical and carry charges of -15.5C and +63.7C. They are separated by a distance of 3.39 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 3.39 cm. Determine the magnitude of the force that each sphere now experiences.

Explanation / Answer

1) F (elec) = 9*10^9 Q1Q2/r^2 F (elec) = - 9*10^9 [15.5*63.7*10^-12]/3.39*10^-2]^2 F = - 7732.4 N (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 = - 15.5 + 63.7 = 48.2 µC both will share Half-half Q1' = Q/2 = +24.1 µC Q2' = +24.1 µC F (new) = + 9*10^9 [24.1*24.1*10^-12]/3.39*10^-2]^2 = + 4548.6 N (repulsive)

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