Question

if 10 resistors of 5 ohm are firstly connected in series then in parallel what will be the ratio of equivalent resistance in parallel to series combination​

Answer 1

Answer:

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