4. One of the properties of electrostatic fields is that they have no curl: VxE-

Question

4. One of the properties of electrostatic fields is that they have no curl: VxE- 0 at every point in space. Combining this fact with your knowledge of the divergence, describe how electrostatic field lines behave (e.g. Where do they start or stop? Do they form closed loops?). 5, A section of an infinitely long cylinder with uniform charge density is shown at right. tp Describe in words where the divergence of the electric field is positive, negative, and zero. a. Use Gauss' law with an appropriate Gaussian surface to find an expression for the electric field, both inside and outside of the cylinder. Include unit vectors in your answer. b. 1 a c. In cylindrical coordinates, the divergence is given by (sp) az Find the divergence of the electric field you found in part (b), and check that your answer agrees with your answer to part (a).

Explanation / Answer

Answering Q4

As curl of electrostatic field is zero ,we can say that electrostatic field is conservative in nature .Also we can say that eletrostatic field lines will never cut each other and they will be perpendicular to the equipotential surface .they will form a closed loop as seen in case of dipole

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