Assignment 6- Potential and Field

# Assignment 6- Potential and Field - Electric Force and...

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Electric Force and Potential: Spherical Symmetry Learning Goal: To understand the electric potential and electric field of a point charge in three dimensions Consider a positive point charge , located at the origin of three-dimensional space. Throughout this problem, use in place of . Part A Due to symmetry, the electric field of a point charge at the origin must point _____ from the origin. Answer in one word. ANSWER: away Correct Part B Find , the magnitude of the electric field at distance from the point charge . Express your answer in terms of , , and . ANSWER: Part C Find , the electric potential at distance from the point charge . Express your answer in terms of , , and . ANSWER: =

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Picture 22 Picture 24 Picture 26 Picture 28 Electric Force and Potential: Spherical Symmetry Part C Correct Part D Which of the following is the correct relationship between the magnitude of a radial electric field and its associated electric potential ? More than one answer may be correct for the particular case of a point charge at the origin, but you should choose the correct general relationship. ANSWER: Correct Now consider the figure, which shows several functions of the variable .
Picture 34 Picture 35 Picture 36 Picture 37 Electric Force and Potential: Spherical Symmetry Part E Which curve could indicate the magnitude of the electric field due to a charge located at the origin ( )? Hint E.1 How to approach the problem Hint not displayed ANSWER: A B C D

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Picture 38 Picture 39 Picture 42 Picture 43 Picture 44 Picture 45 Picture 46 Picture 47 Electric Force and Potential: Spherical Symmetry Part E E F Correct Part F Which curve could indicate the electric potential due to a positive charge located at the origin ( )? Hint F.1 How to approach the problem Hint not displayed ANSWER: Correct
Picture 50 Picture 51 Picture 52 Picture 53 Picture 54 Picture 55 Picture 56 Picture 57 Electric Force and Potential: Spherical Symmetry Part G Which curve could indicate the electric potential due to a negative charge located at the origin ( )? ANSWER: A B C D E F Correct Part H For either a positive or a negative charge, the electric field points from regions of ______ electric potential. ANSWER: Correct

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Electric Force and Potential: Spherical Symmetry Part G
Electric Potential Energy versus Electric Potential Learning Goal: To understand the relationship and differences between electric potential and electric potential energy. In this problem we will learn about the relationships between electric force , electric field , potential energy , and electric potential . To understand these concepts, we will first study a system with which you are already familiar: the uniform gravitational field. Gravitational Force and Potential Energy First we review the force and potential energy of an object of mass in a uniform gravitational field that points downward (in the direction), like the gravitational field near the earth's surface.

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