The maximum voltage drop in a uniformly loaded radial distributor fed to both ends is _________, where I is the total current fed to the distributor from both ends and R is the total resistance of the distributor.

Concept 

The total current supplied to the distributor is (i × l). As the two end voltages are equal, therefore the current supplied from each feeding point is .

Current supplied from each feeding point = 

Consider a point C at a distance x meters from the feeding point A.  The current at point C is:

Now, consider a small length dx near point C.  Its resistance is  r dx and the voltage drop over length dx is:

The voltage drops up to point C:

The point of minimum potential will be the mid-point.  Therefore, the maximum voltage drop will occur at mid-point i.e. where x = l/2.