Understanding the Relationship Between Voltage and Electric Field

[engineeringstudnt]

Homework Statement

Electric

Relevant Equations

V=kQ/r
E=KQ/r^2

Hi guys ! I am taking phys102 course .I figured out that i didnt fully understand the concept that is the Voltage. Please look at this question. In this case we can see that there is no voltage in point C and there is no electric field is in point D and as you know V=U/q .So i always thought that voltage is a indicator that shows us how much electric field can do work in a point that is independent from charge q. So i didnt understand how V=something that is diffrent from zero when E=0.

 

[DaveE]

So i always thought that voltage is a indicator that shows us how much electric field can do work in a point

No, voltage is always associated with a path, not a point. But since EM is a conservative, it's also the difference in potential between two points (i.e. how you get from beginning to end doesn't matter).

 

[engineeringstudnt]

thanks for the reply i get it :)