Application of Circuit laws (KCL and KVL)

[hms.tech]

Homework Statement

Calculate the resistance of this combination of resistors

Homework Equations

V=IR

The Attempt at a Solution

By using KVL :

V= 3I_{5} = I_{2} = 2I_{4}
I = I_{1} + I_{2}
I_{3} = I_{2} + I_{4}
I_{1} = I_{5} + I_{4}
I = I_{3} + I_{5}Now the final result could be obtained by the simple equation : R =V/I (this is where my progress stagnates)

 

[gneill]

Your first equation relates currents I2, I4, and I5 to the potential across the circuit. Now, if you take your last equation and make substitutions so that you express I in terms of those same currents in the first expression, I think you'll get somewhere.

 

[hms.tech]

You mean like this :

I = I_{5} + I_{2} + I_{4}

Thus R = V/I

that does not solve the problem ...

 

[gneill]

You mean like this :

I = I_{5} + I_{2} + I_{4}

Thus R = V/I

that does not solve the problem ...

But you can substitute your expressions for those currents from your first equation...

 

[hms.tech]

Oh yes, I overlooked this .
Thanks you