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A long conducting circular rod is inside a long conducting square enclosure. The

ID: 1627271 • Letter: A

Question

A long conducting circular rod is inside a long conducting square enclosure.

The rod is maintained at a potential of -5000 volts with respect to the square which is grounded (V=0). The contour lines are equipotentials with V = -4000, -3000, -2000, and -1000 volts.

PART A

Select a response for each statement below. (Use 'N', North, towards top of page (+y dir), and 'E', East, to the right (+x dir), 'NE' for in between 'N' and 'E', etc.) OR True/False

1) The magnitude of the E-field at 5 is greater than that at 7 .

2) The y-component of the E-field at 5 is zero.

3) The direction of the force on a small (+) charge at 5 is ....

4) The direction of the force on a small (-) charge at 9 is ....

5) The magnitude of the E-field at 6 is very small (~ zero).

6) The direction of the E-field at 3 is ....

7) The x-component of the E-field at 7 is positive.

Explanation / Answer

1) True, because electric field at 5 is zero (because E-field inside the conducting material is always zero) and electric field at 7 is negative.

2) True, because total electric field is zero.

3) No force (beacuse there is not external E-field)

4) SW (south-west), for the force is radially outward.

5) True, if distance is large. E-field is inversely proportional to distance

6) South or -y direction

7) True, as its direction is in SE (south-east) direction.

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