A thin disk with a circular hole at its center has inner radius a nd outer radius. The disk has a uniform positive surgace charge density on its surface. The disk lies in the yz plane, with its center at the origin.

Write an expression for the net electric flux through the entire surface in terms of the area vectors and the electric field E.

Consider the left side of the box as consisting of N small pieces. Led dAi represent the area of the ith small surface element on the left side of the box, and let Ei represent the electric field on that surface element.

Write an expression for the net electric flux through the left side of the box in terms of dAi and Ei.

Suppose that the new charge located to the right of the loop had been negative instead of positive. How would your answer to part b change, if at all? The attempt at a solution So for the first problem I truly have no idea how to start it.

However, I think this is wrong since the integral should be over the whole surface not individual pieces like I have. Thats what dA means correct? For problem 2 its the same issue I am having with problem 1.

For problem 3 I think I have the answer as positive since the electric field is coming toward the negative charge so the positive charge would have its field lines going through the surface as positive lines go away from the charge and then there would be negative field lines going toward the negative charge which come from the positive and elsewhere so the lines would point the same direction as my dA which is to the right as I drew in the first part of the problem.

Hopefully that is correct? I know its a lot, but the flux concept is having me confused and the equations are especially daunting.MODULE 2: Worked-out Problems.

Obtain expressions for the interfacial heat flux from the bottom layer to the middle layer, and from the middle layer to the top layer. Are the conditions are steady or transient? Next, obtain an expression for the rate at which thermal energy is generated in the entire middle layer, per unit surface area.

Use Gauss's law to find an analytic expression for the electric field around a line of charge. You field direction for a line charge (consider it positive). Describe the direction of the E field. ii. Next you should write out both sides of Gauss’s law (net flux on one side, charge enclosed on Then determine how to write out the flux.

Is the flux through the top third of the suface greater, less than, or equal to the flux through the middle third. Explain. (c) write an expression for the net electric flux through the entire surface area in terms of the area vectors and the electric field%(5).

In other words, we have a flux of current and the natural expression for the current threading our path is (analogous to the magnetic flux in the third equation) to write a surface integral of the current density j over a surface spanning the path, giving for magnetostatics.

Write an expression for electric field due to a point charge. What is the net force on an electric dipole which is placed in a uniform electric field? Ans: The net force on the dipole is zero. Define dipole moment of an electric dipole in terms of the torque acting on it in a.

To calculate electric field created by a dipole on the axial line (on the same line joining the two charges), All the measurement of distances are to be taken from the centre(O).

Let the distance between O to +q and O to –q be ‘l’. So, total length between +q and –q will be ‘2l’. Take.

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Electric Dipole - Electric Field on Axial Line