A long conducting cylindrical rod is inside a long conducting enclosure with a s

Question

A long conducting cylindrical rod is inside a long conducting enclosure with a square cross-section as shown below.

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 at V = +4000, +3000, +2000, and +1000 volts.

a) Select a response for each statement below. (True or False or 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.)

The direction of the force on a small (+) charge at 2 is ....
The y-component of the E-field at 8 is negative.
The direction of the E-field at 7 is ....
The E-field at 4 is zero.
The x-component of the E-field at 5 is zero.
The direction of the force on a small (-) charge at 1 is ....
The magnitude of the E-field at 8 is greater than that at 2

b)Calculate the work which would be required to move a charge Q = -69.7 nC from '7' to '6'.

Explanation / Answer

1)E 2)False 3)SW 4)True 5)True 6)S 7)Fasle Work done = change in potential energy=-69.97(2000-4000)=139940 nanoJoule

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