Problem: 1. If the electric potential at some point is large, is the electric field at that point also necessarily large, or not? Explain your answer, and provide a counterexample if not.2. Assume the electric field E in some region is uniform: it is the same at all points. Specifically, E has a magnitude of 5 V/m and points in the +x direction. What can you then say about the behavior of the electric potential a) in the x direction and b) in the y direction? Explain your answers.

FREE Expert Solution

The potential difference and electric field are related by 

-V=Er

where Δr is the distance between charges and the negative sign indicates direction.

The electric potential due to a point charge is

V=kqr

The electric field due to a point charge is

E=kqr2

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Problem Details

1. If the electric potential at some point is large, is the electric field at that point also necessarily large, or not? Explain your answer, and provide a counterexample if not.

2. Assume the electric field E in some region is uniform: it is the same at all points. Specifically, E has a magnitude of 5 V/m and points in the +x direction. What can you then say about the behavior of the electric potential a) in the x direction and b) in the y direction? Explain your answers.

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Our tutors have indicated that to solve this problem you will need to apply the Equipotential Surfaces concept. You can view video lessons to learn Equipotential Surfaces. Or if you need more Equipotential Surfaces practice, you can also practice Equipotential Surfaces practice problems.