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Two tiny conducting spheres are identical and carry charges of -26.4 C and +54.8

ID: 2276750 • Letter: T

Question


Two tiny conducting spheres are identical and carry charges of -26.4C and +54.8C. They are separated by a distance of 3.66 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 3.66 cm. Determine the magnitude of the force that each sphere now experiences.

Two tiny conducting spheres are identical and carry charges of -26.4 C and +54.8 C. They are separated by a distance of 3.66 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 3.66 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 [26.4*54.8*10^-12]/3.66*10^-2]^2
F = - 9719.967 N (attractive) >> experienced by each
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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 = - 26.4 + 54.8 = 28.4