Calculating voltage between two points....

[15ongm]

Homework Statement

Homework Equations

The voltage between any two points due to the field from a point charge q is:

Kirchoff's voltage laws, which states that the total voltage around a closed loop must be zero, i.e.:

The Attempt at a Solution

To find V(e<-d) I used Kirchoff's Voltage Law:

To find V(e<-a) I used the fact that you can break voltages into parts:

But I know my answers are wrong b/c this is what the solutions say:

My question is, what is wrong with the way I'm calculating V(e<-d) and V(e<-a)?

 

[mfb]

How did you get the expression for V_c<-e?
The detour via c is unnecessary.

The expression for V_c<-a is wrong as well, and I guess it is wrong for the same reason.