Suppose you initially have a bathtub full of water and then remove the drain plug to let it drain. If the vector field to be studied is the flow velocity of the water in the bathtub, how should the divergence be before and after removing the drain plug? O to. before: zero; after: less than zero O b. before: less than zero; after: greater than zero O c. before: zero; after: greater than zero

In the following statement, select one which does not define an electric field. O A measure of how much electric force an electric charge would experience at a particular location in space. O Aregion of space around an electrically charged particle or object in which an electric charge would feel force. O The law of physics that defines the force between electrically charged objects. O It is a force per unit charge.

For time varying fields, the electric field is not conservative. Why? Explain withmathematical substantiations.

LC-3 A line of positive charge lies along the x axis extending from x-0 to x-L. The total charge Q on the lines is evenly distributed along the length L. Find the net electric field at point P, which is a distance 'a' from the origin on the x axis as shown in the figure to the right. Follow the steps in the "Procedure for Applying - Coulomb's Law" that is in the "Worksheets" handed out the first day of class. Give your answer in terms of K, Q, a, L and any other constants needed. y a P X