Question

n resistors each of value R are connected in series to give an effective

resistance x. when they are connected in parallel, their effective resistance is

y. Derive a relationship between x , y , n and R.


Show the answer mathematically​

Answer 1

Answer:

We know that if n equal resistors are connected in series equivalent resistance is given by

X=nR

And,if n equal resistors are connected in parallel, equivalent resistance is given by

Y=

n

R

Now,XY=nR×

n

R

=R

2

⟹R

2

=XY