023 (part 1 of 2) 10.0 points Two conducting spheres have identical radii. Initi
ID: 2125208 • Letter: 0
Question
023 (part 1 of 2) 10.0 points
Two conducting spheres have identical radii.
Initially they have charges of opposite sign
and unequal magnitudes with the magnitude
of the positive charge larger than the magnitude of the negative charge. They attract
each other with a force of 0.237 N when separated by 0.5 m.
The spheres are suddenly connected by a thin
conducting wire, which is then removed.
Connected + +
Now the spheres repel each other with a force
of 0.024 N.
Final + +
What is the magnitude of the positive
charge?
Answer in units of C
024 (part 2 of 2) 10.0 points
What is the negative charge?
Answer in units of C
Explanation / Answer
let q1 is the positive charge and q2 is the negative charge
F = k*q1*q2/r^2
-0.237 = -9*10^9*q1*q2/0.5^2
q1*q2 = 6.583*10^-12 ---(1)
when they are connected
q1' =q2'= (q1-q2)/2
F' = k*q1'*q2'/r^2
0.024 = k*(q1+q2/2)^2 / r^2
(q1-q2/2)^2 = 0.67*10^-12 ---(2)
solve eqn 1 and 2 we get q1 and q2
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