Consider the infinite sheet of charge shown here. It has a surface charge densit

Question

Consider the infinite sheet of charge shown here. It has a surface charge density of ? C/m2. A cylindrical Gaussian Surface is also shown. Determine whether each of the following statments is true or false.

1. The type of symmetry exploited here is cylindrical symmetry
2. If this were a negatively charged sheet, the area vector at Q would point towards the sheet.
3. E.dS for the surface around Q is zero.
4. E.dS for the surface around P is zero.
5. It would have made the calculation of the E-Field significantly more difficult if we had used a cylinder with a rectangular cross-section rather than a circular cross-section as the Gaussian Surface.
6. The Field at Q is ?/2?.

Explanation / Answer

1.true

2.false

3.true

4.true

5.false

6.true

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