Two very large, parallel insulating sheets have the charge densities, n, shown i
ID: 1591730 • Letter: T
Question
Two very large, parallel insulating sheets have the charge densities, n, shown in the figure attached. (Only a small portion near the centre of the sheets is shown.) For each change listed, state whether the magnitude of the electric field at point P just to the left of the left sheet increases, decreases, or remains the same.
1. Sheet B is moved to the left.
2. Sheet A is moved to the right.
3. Sheets A and B exchange positions.
4. The area of both sheets is doubled while charge density ? remains constant.
5. The area of both sheets is doubled while the total charge on each remains constant (? changes).
6. The charge density of sheet A is changed to -3 uC/m2 .
7. The charge density of sheet B is changed to -5 uC/m2 .
8. The sign of the charge on sheet B is changed.
9. A positive point charge is placed at Point R.
10. Point P is moved a small distance to the left.
Now, for each change listed below, state whether the magnitude of the electric field at point R midway between the two sheets increases, decreases, or remains the same. Note that when one of the sheets is removed, point R remains fixed at its original location
11. Sheet B is moved to the left, but is still to the right of point R.
12. Sheet A is moved to the right, but is still to the left of point R.
13. Sheets A and B exchange positions.
14. The area of both sheets is doubled while the total charge on each remains constant.
15. The charge density of sheet A is changed to -3 uC/m2 .
16. The charge density of sheet B is changed to 12 uC/m2 .
17. The sign of the charge on sheet B is changed.
18. A positive point charge is placed at Point P.
19. Point R is moved closer to sheet A.
Explanation / Answer
1. Sheet B is moved to the left.
remains same
2. Sheet A is moved to the right.
remains same
3. Sheets A and B exchange positions.
remain same
4. The area of both sheets is doubled while charge density remains constant.
remain same
5. The area of both sheets is doubled while the total charge on each remains constant ( changes).
decreases
6. The charge density of sheet A is changed to -3 uC/m2 .
increases
7. The charge density of sheet B is changed to -5 uC/m2 .
increases
8. The sign of the charge on sheet B is changed.
increases
9. A positive point charge is placed at Point R.
increases
10. Point P is moved a small distance to the left.
remains same
++++++++++++++++++++++++++++++++++++++++++++++
11. Sheet B is moved to the left, but is still to the right of point R.
remains same
12. Sheet A is moved to the right, but is still to the left of point R.
reminas same
13. Sheets A and B exchange positions.
remains same
14. The area of both sheets is doubled while the total charge on each remains constant.
decreases
15. The charge density of sheet A is changed to -3 uC/m2 .
decreases
16. The charge density of sheet B is changed to 12 uC/m2 .
decreases
17. The sign of the charge on sheet B is changed.
decreases
18. A positive point charge is placed at Point P.
increases
19. Point R is moved closer to sheet A.
remains same
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