Two identical conducting spheres are a distance d=6.74 cm apart.

Sunday, 12 August 2018

6:14 PM

Untitled picture.png Machine generated alternative text:
Question:
Two identical conducting spheres are a distance d = 6.74 cm apart Initially the sphere on the lett nas a charge of A-Q = +7.61gC and the sphere on the right is neutral. The sphere on the right
is brought towards the one on the lett so that t touches and then moved back to its original positiom This is done carefully using an insulator
Figure 1 _ Two conducting (metal) spheres are placed a distance d apart The leftmost sphere has been charged to a value ot +Q.
part 1)
Atter this process what is the total charge on the system? (ie on the two spheres combined)?
Q = 7.61
Your last answer was interpreted as follows: 7.61
part 2)
What is the charge on the sphere on the right after this process?
Q = 3.81
Your last answer was interpreted as follows: 3.81
part 3)
How much work is done by the Coulomb force to move the sphere trom x =
charges are uniformly distributed.)
Your last answer was interpreted as follows: 0
Give a positive answer as the displacment and force are in the same direction.
back to its original position at x — d? (Assume that d is very much greater than the diameter of the spheres, so that
Untitled picture.png Machine generated alternative text:
Feedback tor Part 2)
As the two spheres are identical they end up with identical charges. They 50th nave halt the initial charge.

Machine generated alternative text:
Your answer is partially correct Note: Your answers should be correct to 3 significant figures.
Feedback tor Part 1)
You have correctly answered this part
Marks for this submissiom 0.33/0.33.
Feedback tor Part 2)
You have correctly answered this part
Marks for this submissiom 0.33/0.33. Accounting for previous tries, this gives 0.22/0.33.
Feedback tor Part 3)
The work done is given by
dW = Fdc
In this case the force is the Coulomb torce_
47rE0
where qi = q2
So we can write
d/2 4TE0 4 x2
47rE0 4 Jd/2 a-2
x d/2
47rE0 4
47rE0 4 d •
Substitute into this (remember to convert trom gC to C and trom cm to m) to get the final answer.
Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11

Machine generated alternative text:
A correct answer is 7.61, which can be typed in as follows:
7.61
A correct answer is 3.81, which can be typed in as follows:
3.81
A correct answer is 1.93, which can be typed in as follows:
1.93

Created with Microsoft OneNote 2016.