Answered: A uniform electric field of 250 V/m…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A uniform electric field of 250 V/m points in the +x direction. (a) How much work is done by the electric field in moving an electron 50.0 cm? (B) what is the change in the electrons potentional energy? (C) if the election starts from rest, what is its final velocity?

Expert Solution

Step 1

Given

The uniform electric field is E = 250 V/m.
The distance travel by the electron is d = 50 cm = 50 x 10^-2 m.

Known values.

The charge on an electron is $q = 1.6 \times 10^{- 19} C$ .
The mass of an electron is $m = 9.1 \times 10^{- 31} kg$ .

(a) The work done by the electric field is calculated as,

$\begin{array}{rcl} W & = & F \times d [F is the force] [F = qE] \\ W & = & q E \times d \\ = & 1.6 \times 10^{- 19} C \times 250 V / m \times 50 \times 10^{- 2} m \\ W & = & 2 \times 10^{- 17} J \end{array}$