The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 10.6 V and b = -7.30 V/m.(a) Determine the potential at x = 0.VDetermine the potential at x = 3.00 m.VDetermine the potential at x = 6.00 m.V(b) Determine the magnitude and direction of the electric field at x = 0.magnitudeV/mdirection---Select--- +x -xDetermine the magnitude and direction of the electric field at x = 3.00 m.magnitudeV/mdirection---Select--- +x -xDetermine the magnitude and direction of the electric field at x = 6.00 m.magnitudeV/mdirection---Select--- +x -x

When the potential is given by V=a+bx Substitute the values to get desired potential at…

Answered: The potential in a region between x = 0…

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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The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 10.6 V and b = -7.30 V/m.

(a) Determine the potential at x = 0.
V

Determine the potential at x = 3.00 m.
V

Determine the potential at x = 6.00 m.
V

(b) Determine the magnitude and direction of the electric field at x = 0.

magnitude	V/m
direction	---Select--- +x -x

Determine the magnitude and direction of the electric field at x = 3.00 m.

magnitude	V/m
direction	---Select--- +x -x

Determine the magnitude and direction of the electric field at x = 6.00 m.

magnitude	V/m
direction	---Select--- +x -x

Expert Solution

Step 1 Potential and electric field

When the potential is given by $V = a + b x$

Substitute the values to get desired potential at any location.

Electric field is shown mathematically as, $E = - \frac{d V}{d x}$

This is obtained by differentiating the term of potential with respect to position

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