Draw the 3D electric field lines of the following three...

Draw the 3D electric field lines of the following three charge distributions. Derive the electric field on point, \(\vec{r}\), for each of them. Show the procedure of your derivation. How the electric field strength depends on \(|\vec{r}|\) when you measure it far away from the origin (O)?

Transcript

00:01 In this question we need to construct the graph of the electric field over there so we know that in the first part of this question first of all we know that the electric field over there which is given as k which we already know is constant which is one of 1 by 4 by epsilon of the 9 into q upon r square for the q charge and where case is constant this means that electric field is proportional to q over there obviously and inversely proportional to r square over there okay so we can see that electric field over there is inversely proportional to r square and or rather q upon r square.

00:42 And so we can represent the relation of the electric field e by the graph obviously in that form that.

00:50 Let me draw the graph over there for this one.

00:55 Let me draw it better.

00:58 Let me draw it better.

00:59 Give me one more chance.

01:01 Come on.

01:01 Yeah it is the xy plane or rather not an xy plane over there this is a electric field e and the distance between the charge and the specific point over there which where which we're going to find the electric field so when the distance is very nice electric field is very high and it is going to like degrees degrees and degrees with the distance in distance in bridges so this is the graph look like for the electric field e and obviously a distance between charge and the point so in the next part of this question we know that over there the charge is given 2q.

01:37 So electric field e will be directly proportional to 2 q upon r square.

01:41 So again i think the graph of this question would look like something like this one like yeah what we have done wrong.

01:53 This is the right way.

01:55 This is also right way...

Question

Draw the 3D electric field lines of the following three charge distributions. Derive the electric field on point, \(\vec{r}\), for each of them. Show the procedure of your derivation. How the electric field strength depends on \(|\vec{r}|\) when you measure it far away from the origin (O)?

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