Question

Is it possible for a network to have resistors that are both series and parallel? If so, what would it look like? How would you go about finding the equivalent resistance of such a network?

Answer 1

yes it is possible to have the resistors both in series and parallel combination in a network.

let us say in a network the resistors are of same resistance then

case 1 To increase the resultant resistance of the network we can connect them in series only (because net R= r1+r2+r3+................+rn= n*r)=nr

case2 To To decrease the resultant resistance of the network we can connect them in parallel conection only ( R= r1*r2*r3.................*rn/r1+r2+r3+......................+rn)= r/n

accordingly we can change the number of resistors either in parallel condition or in series condition

hope you got some idea