Electric field E:

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

Substituting:

$\begin{array}{rcl}\mathbf{E}\mathbf{\left(}\mathbf{x}\mathbf{\right)}& \mathbf{=}& {\mathbf{-}}{\mathbf{100}}\frac{\mathbf{d}\mathbf{\left(}{\mathbf{e}}^{\mathbf{-}\mathbf{2}\mathbf{x}}\mathbf{mV}\mathbf{\right)}}{\mathbf{dx}}\\ & \mathbf{=}& \mathbf{200}{\mathbf{e}}^{\mathbf{-}\mathbf{2}\mathbf{x}}\end{array}\phantom{\rule{0ex}{0ex}}$

The electric potential along the *x*-axis is *V*=100*e ^{-}*

Part A

What is *E** _{x}* at

Express your answer as an integer and include the appropriate units.

Part B

What is *E** _{x}* at

Express your answer to two significant figures and include the appropriate units.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Electric Fields with Calculus concept. You can view video lessons to learn Electric Fields with Calculus. Or if you need more Electric Fields with Calculus practice, you can also practice Electric Fields with Calculus practice problems.