Answer 1 1. If two points are at the same potential, are there any electric field lines connecting them?2.If the potential is zero at a point, does the electric field have to be zero at that point? Explain.3.If the electric field is zero at a point, does the potential have to be zero at that point? Explain.

Answered: 1. If two points are at the same…

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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Answer 1

1. If two points are at the same potential, are there any electric field lines connecting them?
2.
If the potential is zero at a point, does the electric field have to be zero at that point? Explain.
3.
If the electric field is zero at a point, does the potential have to be zero at that point? Explain.

Expert Solution

Step 1

E=−∇φ

The electric field vector function is the negative gradient of the electric potential.

And potential difference scalar function between two point in space is the -ve line integration of dot product of electric field and elementary line element between 2 points.

So in between 2 different points where potential difference is zero there can not be any electric field line connecting them.

Because as tho points are different so line integration of electric field along this path will never be zero because electric field is a radial vector. So

Ans.1. if two points are in same potential there is not a electric field line connecting them according to the above cause.

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