Electric Potential Energy Video Lessons

Concept

# Problem: The potential due to a point charge Q at the origin may be written as Part A. Calculate Ex using equation Ex=−∂V/∂x.Express your answer in terms of the given quantities and appropriate constants.Part B. Calculate Ey using equation Ey=−∂V/∂y.Express your answer in terms of the given quantities and appropriate constants.Part C. Calculate Ez using equation Ez=−∂V/∂z.Express your answer in terms of the given quantities and appropriate constants.Part D. Show that the results of parts (a), (b), (c) agree with the equation for the electric field of a point charge

###### FREE Expert Solution

The electric field is given by:

$\overline{){\mathbf{E}}{\mathbf{=}}{\mathbf{-}}{\mathbf{∆}}{\mathbf{V}}}$

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###### Problem Details

The potential due to a point charge Q at the origin may be written as Part A. Calculate Ex using equation Ex=−∂V/∂x.
Express your answer in terms of the given quantities and appropriate constants.
Part B. Calculate Ey using equation Ey=−∂V/∂y.
Express your answer in terms of the given quantities and appropriate constants.
Part C. Calculate Ez using equation Ez=−∂V/∂z.
Express your answer in terms of the given quantities and appropriate constants.
Part D. Show that the results of parts (a), (b), (c) agree with the equation for the electric field of a point charge