N identical resistors, each of resistance R, when connected in parallel,their effective resistance is Yohm . find the relation between R,X and Y

1
by omRavi323

2015-08-03T22:58:11+05:30

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Resistance = R
When resistances are connected in parallel, the effective resistance is :
Let there be a voltage source V and N resistors of value R be connected in parallel with that voltage source.  The total current is I.  All resistances have the same voltage difference.  The current is divided equally among all the resistors and the current in each resistance is = V/R.  The currents flow in parallel directions.

Hence total current is I = N * V/R  =  V / (R/N)
Hence the effective resistance =  V / I = R/N

OR,
1/Y = 1/R + 1/R + ....+ 1/R    N times.
= N / R

Y = R/N

click on thanks button above please