kirchhoff's law.Simple question [closed]

Question

So far I calculated total resistance and it is 4.66 ohms and there is 12 volt voltage across them, what is the best way or HOW to calculate current for each resistor ?

Answer 1

When two resistors are connected in series, the voltage on each of them is proportional to the relevant resistance, if two resistors are connected in parallel, the current in each of them is inversely proportional to the relevant resistance. That should be enough to calculate the current for each resistor.

Answer 2

For this kind of circuit, it's helpful to simplify down to one total resistance to calculate the current with $V=IR$, However, you can draw multiple diagrams when simplifying the resistance. After finding the total current, you can use that total current along with a voltage divider. Eventually if you continue with this, you will have a voltage at every node and thus be able to calculate the current at all paths.

Answer 3

This can also be solved using mesh analysis.

Mesh analysis breaks down the circuit into one or more "loops", or "meshes". In this example notice ther are 3 meshes. This will result in a 3 by 3 linear system. Through linear algebra, the solution to the system will be the three mesh currents. The three mesh currents will be all you need to know all of the currents through each resistor. Remember that if a resistor lies between two different meshes, the current through it will be the difference between the two mesh currents (e.g. the current through the 4$\Omega$ which lies between mesh 1 and mesh 2 is $i_1-i_2$).