Question

Two resistors each of resistance 8 are first connected in series and later in parallel. Ratio of the total resistance in series(Rs) to the total resistance in parallel (Rp) is​

Answer 1

Step-by-step explanation:

Let the resistance of each resistor be R.

Series connection :

Equivalent resistance (maximum) R

s

=R+R+....+n terms

⟹ R

s

=nR

Parallel connection :

Equivalent resistance (minimum)

R

p

1

=

R

1

+

R

1

+...+n terms

We get

R

p

1

=

R

n

⟹ R

p

=

n

R

Thus ration of maximum to minimum resistance

R

p

R

s

=

R/n

nR

⟹

R

p

R

s

=n

2