A +3 mu C charge is situated at the origin, with a -6 mu C charge to its right.

Question

A +3 mu C charge is situated at the origin, with a -6 mu C charge to its right. Sketch both the electric field lines and equipotential lines for this configuration. An infinite sheet of charge density - sigma is situated to the left of an infinite sheet of charge density + sigma, as shown. The plates are separated by a distance d. Set the origin of your coordinate system, x = 0 at the negative plate, which is defined to be at 2 V potential, while the positive plate is at 10 V potential. Derive an expression for the electric potential at arbitrary distance x between the sheets.

Explanation / Answer

4)Diagram attached

5)Electric field between the plates will be:

E = sigma/2 epsilon0

The componene of E field along x

Ex = sigma/2 epsilon0

Potential at a distance x will be:

V = Ex * x = sigma x /2 epsilon0

Hence, V = sigma x /2 epsilon0

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