Question

Question
Find the ratio of the maximum to the minimum
resistance for a combination of 'n' equal resistors.
Options: 1) n
2) 1/n^2
3) n^2
4) 1/n​

Answer 1

Answer:

Reffer to the picture posted above

or

copy here

et the resistance of each resistor be R.

Series connection :

Equivalent resistance (maximum) R s =R+R+....+n term⟹ R s=nR

Parallel connection :

Equivalent resistance (minimum) R p1 = R1 + R1+...+n terms

We get R p1 = Rn⟹ R p = nR

Thus ration of maximum to minimum resistance

R pR s = R/nnR⟹ R pR s=n 2