Electric Field As Derivative of Potential Video Lessons

Concept

Problem: The electric potential along the x-axis is V = 100e-2x V/m, where x is in meters.Part AWhat is Ex at x = 1.0 m? Express your answer as an integer and include the appropriate units.Part BWhat is Ex at x = 2.4 m? Express your answer to two significant figures and include the appropriate units.

FREE Expert Solution

We are required to determine the electric field given an electric potential function.

We need to recall the relationship between electric field and potential.

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

Problem Details

The electric potential along the x-axis is = 100e-2x V/m, where x is in meters.

Part A

What is Ex at = 1.0 m? Express your answer as an integer and include the appropriate units.

Part B

What is Ex at = 2.4 m? Express your answer to two significant figures and include the appropriate units.