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# Kirchoff's Law for 3 loop circuit with multiple voltage supplies

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#### ZeroSumPlayer

##### New Member
Hi,

I am working on the below circuit to find; the power dissipated by RL (8Ω resistor), voltage drop across RL and current supplied by the 10 volt battery (V1).

So far I have used Kirchoff's law to the best of my ability to get 3 loop equations but 4 unknowns, I am thrown off by the variable voltage supply V3 = 3Is

In my workings I have used I1=Is for simplicity.

Loop 1

0 =10 - 6I1 - 20I2

Loop 2

0 = 35 I1 - 11 I1 - 6 I3 - 5V

Loop 3

0= 4 I1 - 14 I3 - 18 I4 (V3 = 4I1 highlighted in red).

(I can share my workings if required).

Please could you help with confirming my loop equations are correct and helping to derive a 4th equation so that I can solve the currents I1-I4. (I can post my workings if needed).

My assignment is a simulation assignment, but I can't build a model with out having my hand calcs correct.

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Attach you picture here, don't link to some external source, it does not work (for me at least).

JimB

Attach you picture here, don't link to some external source, it does not work (for me at least).

JimB

I have attached now. Thank you.

Anybody?

Hi,

I am working on the below circuit to find; the power dissipated by RL (8Ω resistor), voltage drop across RL and current supplied by the 10 volt battery (V1).

So far I have used Kirchoff's law to the best of my ability to get 3 loop equations but 4 unknowns, I am thrown off by the variable voltage supply V3 = 3Is

In my workings I have used I1=Is for simplicity.

Loop 1

0 =10 - 6I1 - 20I2

Loop 2

0 = 35 I1 - 11 I1 - 6 I3 - 5V

Loop 3

0= 4 I1 - 14 I3 - 18 I4 (V3 = 4I1 highlighted in red).

(I can share my workings if required).

Please could you help with confirming my loop equations are correct and helping to derive a 4th equation so that I can solve the currents I1-I4. (I can post my workings if needed).

My assignment is a simulation assignment, but I can't build a model with out having my hand calcs correct.