The figure shows four identical conducting spheres that areactually well separat
ID: 1734256 • Letter: T
Question
The figure shows four identical conducting spheres that areactually well separated from one another. Sphere W (withan initial charge of zero) is touched to sphere A and thenthey are separated. Next, sphere W is touched to sphereB (with an initial charge of -34e) and then theyare separated. Finally, sphere W is touched to sphereC (with an initial charge of 42e), and then theyare separated. The final charge on sphere W is20e. What multiple of e gives the initial chargeon sphere A?
Chapter 21, Problem 12 GOThe figure shows four identical conducting spheres that areactually well separated from one another. Sphere W (withan initial charge of zero) is touched to sphere A and thenthey are separated. Next, sphere W is touched to sphereB (with an initial charge of -34e) and then theyare separated. Finally, sphere W is touched to sphereC (with an initial charge of 42e), and then theyare separated. The final charge on sphere W is20e. What multiple of e gives the initial chargeon sphere A?
Explanation / Answer
Assume the initial charge on sphere A is xe after touching A, W has a charge (multiple of e) x/2 after touching B, W has a charge (x/2 - 34)/2 = x/4 - 17 after touching C, W has a charge [(x/4 - 17) + 42]/2 = x/8 +25/2 so x/8 + 25/2 = 20 x/8 = 7.5 x = 60 answer: the initial charge on sphere A is 60e
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.