# Equivalent circuit with resistors neither in series nor parallel

• Engineering

## Homework Statement

all resistors have arbitrary values. the equivalent resistance needs be found between terminal a and b.

## Homework Equations

I have not got a clue how to tackle this problem. as such there is no attempted solution either.

## The Attempt at a Solution

any help would be great.
chollins

#### Attachments

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The Electrician
Gold Member
Do you know how to solve a network?

Have you studied Kirchoff's current and voltage laws?

Have you studied the mesh, loop, or nodal methods for solving networks?

We would need to know how far your studies have gone to determine what method would work best for you.

Do you know how to solve a network?

Have you studied Kirchoff's current and voltage laws?

Have you studied the mesh, loop, or nodal methods for solving networks?

We would need to know how far your studies have gone to determine what method would work best for you.
I have done Kirchoff's current and voltage laws and their applications in mesh, loop and nodal analysis.

I'm not sure how they will help with this problem as it is an open-circuit resistance that is being calculated.

but i could be wrong of course.

chollins

The Electrician
Gold Member
What you have to do is to add a current source, supplying a current of 1 amp into node a; let node b be your reference node (ground).

Then solve the network for the voltage at node a. Knowing the current I into node a (1 amp) and the voltage V at node a, the equivalent resistance will be V/I.

Last edited:
yeah, makes sense. I will do it later today as right now i need to sleep.

thanks for the help.
chollins

A much simpler way, for me at least, is to use the delta-Y conversion. That way you can use the normal series and parallel connections, without having to resort to KCL and KVL.