Question

What happens to the total current through a parallel circuit as more resistors are added in parallel?

How, approximately, is the total voltage across a power source in a multi resistors connected in parallel related to the voltage across the individual resistors?

Answer 1

This can be understand in a very simple concept of physics , from the simple definition of ohms law that we study in our high school, that the rate of current flowing through the resistance is directly proportional to the POTENTIAL DIFFERENCE between the end points, since the potential doesn't have meaning itself if we talk about the only potential that why we use the word POTENTIAL DIFFERENCE,

NOW ALL THE resistors are connected to the same potential that's the parallel combination now V1=V2=V3=V4.......SO ON .Since V=IR  

So, i1R1 =i2R2=i3R3.....so on ,so for the same potential the CURRENT is divided in such a way that the product of of current and resistance should remain constant.

And in parallel all the resistances are connected to two common points so all the resistors have same potential that equal to the e.m.f of the battery itself since negative and positive terminal are connected to the two end points of the all the resistors simultaneously.

Hope you understand well..!!!