The electric field is measured all over the surface of a cylinder whose diameter

Question

The electric field is measured all over the surface of a cylinder whose diameter is 8 cm and whose height is 20 cm, as shown in the diagram. At every location on the surface the electric field points in the same direction (+y). E1 is found to be 558V/m; E2 is 773V/m; E3 is 1233V/m.

(a) Which of the following statements are true?

1 This is an impossible pattern of electric field.

2 The angle between E1 and n? is 90 degrees.

3 The flux on the flat ends of the cylinder is 0.

4 Not enough information is given to solve this problem.

5 Only the curved surface of the cylinder gives a nonzero contribution to the net electric flux.

6 The net flux on this cylindrical surface is negative.

7 The angle between E2 and n? is 90 degrees.

Explanation / Answer

the flux is given as

Flux = E*Area *cos(theta)

where theta is angle between area and electric field

the statements are :

1 This is an impossible pattern of electric field. False

2 The angle between E1 and n? is 90 degrees. False

3 The flux on the flat ends of the cylinder is 0. False

5 Only the curved surface of the cylinder gives a nonzero contribution to the net electric flux.

6 The net flux on this cylindrical surface is negative. True

7 The angle between E2 and n? is 90 degrees. True

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