Question

THE EQUIVALENT RESISTANCE WHEN n EQUAL RESISTORS ARE JOINED IN SERIES IS R1 AND THE EQUIVALENT RESITANCE WHEN JOINED IN PARALLEL IS R2. FIND R1/R2?​

Answer 1

Answer:

Let’s assume each resistance to be x.

Now when connected in series,

(x+x+...ntimes)=R

or, nx=R

or x=Rn .

Now when connected in parallel,

1Req=(1Rn+1Rn+...ntimes)

or, 1Req=(nR+nR+...ntimes)

or, 1Req=n2R

or, Req=Rn2