Question

Prove the Rs/Rp= n²Where Rs is equal resultant of n in series and rp in parallel

Answer 1

Answer:

Explanation:

for n equal resistors connected in series

Rs= R+R+R+R+R...........n times = nR

for n equal resistors connected in parallel

1/Rp= 1/R+1/R+1/R.........n times = n/R

=> Rp= R/n

=>Rs / Rp = nR / (R/n) = nR × (n/R) = n²

hope this will help you