1.) Two tiny conducting spheres are identical and carry charges of -20.2 µC and
ID: 1590857 • Letter: 1
Question
1.) Two tiny conducting spheres are identical and carry charges of -20.2 µC and +49.5 µC. They are separated by a distance of 2.61 cm.
(a) What is the magnitude of the force that each sphere experiences, and is the force attractive or repulsive? 13210N Correct: Your answer is correct.
(b) The spheres are brought into contact and then separated to a distance of 2.61 cm. Determine the magnitude of the force that each sphere now experiences, and state whether the force is attractive or repulsive. ____N repulsive
Explanation / Answer
1)
1) F (elec) = 9*10^9 Q1Q2/r^2
F (elec) = - 9*10^9 [20.2*49.5*10^-12]/2.61*10^-2]^2
F = - 13210.46 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 = - 20.2 + 49.5 = 29.3 µC
both will share Half-half
Q1' = Q/2 = +14.65 µC
Q2' = +14.65 µC
F (new) = + 9*10^9 [14.65*14.65*10^-12]/[2.61*10^-2]^2
= + 2835.54 N (repulsive)
Please post the other question separately.
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