Question

1
4. The ratio of 5 equal resistors
connected in series to that of
parallel combination is,​

Answer 1

ANSWER

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

Answer 2

Answer:

let the each resistors is of N resistance

Explanation:

then in series combination their value is Nr

and in parallel combination it is N/r

then their ratio is =Nr/N/r

=Nr²/N

=r²