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Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 14.1 - Problem 48
Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 14.1 - Problem 48

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# Solved: Electric field due to a point charge The electric

ISBN: 9780321947345 167

## Solution for problem 48 Chapter 14.1

Calculus: Early Transcendentals | 2nd Edition

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Problem 48

Electric field due to a point charge The electric field in the xy-plane due to a point charge at 10, 02 is a gradient field with a potential function V1x, y2 = k 2x2 + y2 , where k 7 0 is a physical constant. a. Find the components of the electric field in the x- and y-directions, where E1x, y2 = -_V1x, y2. b. Show that the vectors of the electric field point in the radial direction (outward from the origin) and the radial component of E can be expressed as Er = k>r2, where r = 2x2 + y2. c. Show that the vector field is orthogonal to the equipotential curves at all points in the domain of V.

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##### ISBN: 9780321947345

This full solution covers the following key subjects: . This expansive textbook survival guide covers 128 chapters, and 9720 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. The answer to “Electric field due to a point charge The electric field in the xy-plane due to a point charge at 10, 02 is a gradient field with a potential function V1x, y2 = k 2x2 + y2 , where k 7 0 is a physical constant. a. Find the components of the electric field in the x- and y-directions, where E1x, y2 = -_V1x, y2. b. Show that the vectors of the electric field point in the radial direction (outward from the origin) and the radial component of E can be expressed as Er = k>r2, where r = 2x2 + y2. c. Show that the vector field is orthogonal to the equipotential curves at all points in the domain of V.” is broken down into a number of easy to follow steps, and 121 words. The full step-by-step solution to problem: 48 from chapter: 14.1 was answered by , our top Calculus solution expert on 12/23/17, 04:24PM. Since the solution to 48 from 14.1 chapter was answered, more than 295 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345.

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