Relationships Between Force, Field, Energy, Potential Video Lessons

Concept

# Problem: Part A. The electric potential along the x-axis is V =200x2 V, where x is in meters. What is Ex at x =0 m? Express your answer as an integer and include the appropriate units.Part B. What is Ex at x =3 m? Express your answer to three significant figures and include the appropriate units.

###### FREE Expert Solution

Relationship between electric potential and electric field:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{∆}\mathbf{V}}{\mathbf{∆}\mathbf{x}}}$

Power rule of derivation:

$\overline{)\frac{\mathbit{d}}{\mathbit{d}\mathbit{t}}\mathbf{\left(}{\mathbit{x}}^{\mathbit{n}}\mathbf{\right)}{\mathbf{=}}{\mathbit{n}}{{\mathbit{x}}}^{\mathbit{n}\mathbf{-}\mathbf{1}}}$

(a)

At x = 0m,

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###### Problem Details

Part A. The electric potential along the x-axis is V =200x2 V, where x is in meters. What is Ex at x =0 m? Express your answer as an integer and include the appropriate units.

Part B. What is Ex at x =3 m? Express your answer to three significant figures and include the appropriate units.