A uniformly loaded D.C. distributor is fed at both ends with equal voltages. As compared to a similar distributor fed at one end only, the drop at the middle point is

Solution (By Examveda Team)

This question asks about the voltage drop at the middle of a uniformly loaded DC distributor
when it's fed from both ends compared to when it's fed from one end only.

Let's break it down:

Imagine a wire supplying power to multiple loads evenly spread along its length.

One-End Fed:
If the power comes from just one end, the farthest point (the other end) will have the lowest voltage.
The voltage drop increases as you move away from the feeding point.
The maximum voltage drop occurs at the far end, and the voltage drop at the midpoint will be significant.

Both-Ends Fed:
Now, imagine feeding the same wire from both ends with the same voltage.
Each end supplies power to half of the loads.
The point with the lowest voltage will now be the middle point, because it is the farthest point from each supply end.
However, the voltage drop to the middle point will be much smaller because it's only fed with half of the total current.

Here's the key idea for the mathematically inclined:
For a distributor fed at one end, the voltage drop is proportional to the square of the distance.
For a distributor fed at both ends, with uniform loading, the maximum voltage drop (at the midpoint) is one-fourth of what it would be if it were fed from only one end.

Therefore, the correct answer is Option A: One-fourth