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Electricity and Magnetism

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Moderate

Determining Potential for a given Electric Field

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In a region of space the electric field is given by $\vec {E} = 2.7 {z}^{2} \widehat {z}$ where $\vec z$ is the vector displacement from the origin measured in meters.

What is the potential difference between the points ${\vec z}_{1} = 3 \widehat {z} \: \text m$ and ${\vec z}_{2} = 5 \widehat {z} \: \text m$?

A

$-88.2 \: \text V $

B

$-43.2 \: \text V $

C

$43.2 \: \text V $

D

$5.4 \: \text V $

E

$-5.4 \: \text V $