The figure shows four identical conducting spheres that are actually well separa
ID: 1259698 • Letter: T
Question
The figure shows four identical conducting spheres that are actually well separated from one another. Sphere W (with an initial charge of zero) is touched to sphere A and then they are separated. Next, sphere W is touched to sphere B (with an initial charge of -34e) and then they are separated. Finally, sphere W is touched to sphere C (with an initial charge of 48e), and then they are separated. The final charge on sphere W is 20e. What multiple of e gives the initial charge on sphere A?
The figure shows four identical conducting spheres that are actually well separated from one another. Sphere W (with an initial charge of zero) is touched to sphere A and then they are separated. Next, sphere W is touched to sphere B (with an initial charge of -34e) and then they are separated. Finally, sphere W is touched to sphere C (with an initial charge of 48e), and then they are separated. The final charge on sphere W is 20e. What multiple of e gives the initial charge on sphere A?Explanation / Answer
Let A have "ne" charge
Action Charge on W
touched to sphere A and then they are separated 0.5(ne+0) = 0.5ne
touched to sphere B and then they are separated 0.5(0.5ne-34e) = (0.25n-17)*e
touched to sphere C and then they are separated 0.5(0.25n-17+48)*e= (0.125n+15.5)*e
Given (0.125n+15.5)*e = 20e or 0.125n+15.5 = 20 or 0.125n = 4.5 or n = 36
So Sphere a had 36e charge
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