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There are three identical conducting spheres have charges as follows: sphere 1 i

ID: 1632972 • Letter: T

Question

There are three identical conducting spheres have charges as follows: sphere 1 is +3.0 Q sphere 2 is -6.0 Q. and sphere 3 is + 2.0 Q. First, sphere I is touched to sphere 2 and then sphere 2 to sphere 3 and then sphere 3 to sphere I then it is removed. What are the final charges for three charges? (A) Sphere1 = -1.5 Q, sphere 2 = + 1.0 Q sphere 3 = -1.0 Q. (B) Sphere 1 = -1.5 Q, sphere 2 = +2.0 Q, sphere 3 = -0.5 Q. (C) Sphere 1 = -1.5 Q, sphere 2 = +0.5 Q, sphere 3 = -0.5 Q. (D) Sphere 1 = -0.5 Q, sphere 2 = +0.5 Q, sphere 3 = -0.5 Q. (E) Sphere 1 = -0.5 Q, sphere 2 = +1.0 Q, sphere 3 = -1.0 Q.

Explanation / Answer

With sphere 1 charge :

sphere 1 touches to sphere 2

i.e > 1 and 2 both have =(+3-6)/2 = -1.5 Q

After that 2 touches 3 :

i.e 2 and 3 now have > (-1.5+2)/2 = 0.25Q

And at the end sphere 3 touches 1:

=(+0.25-1.5)/2 = -0.625