KVL with a current source in loop

[ThomasHW]

I'm trying to solve for a number of different currents in a circuit, and I'm wondering how to do KVL with a current source in a loop?

The current source is actually part of two loops, so is it possible to just name the current source 'V' during KVL and add (or subtract) the two resulting equations to remove 'V' and be left with a third equation?

I've attempted to do this, but my numbers seemed off (could of been an algebraic mistake - not sure.)

 

[Defennder]

You shouldn't be using KVL in a loop with a current source. Denoting the unknown potential by V only gives you an extra variable to solve for and complicates matters. What I'll try to do is to either transform the current souce into a voltage source or simply use nodal analysis. Mesh analysis is overrated, in my opinion.

 

[baba89]

KVL (Kirchhoff's Voltage Law) is a fundamental principle in circuit analysis that states that the algebraic sum of voltages in a closed loop is equal to zero. This law is essential in solving for unknown currents in a circuit. However, when a current source is present in a loop, it can be challenging to apply KVL directly.

One approach to solving for currents in a circuit with a current source is to treat the current source as a known voltage drop and use Ohm's law to calculate the associated current. This current can then be included in the KVL equation for the loop.

Another approach is to use superposition, where the current source is considered separately in each loop and the resulting equations are added together. This can be a useful technique, especially when dealing with complex circuits.

In terms of your suggestion to name the current source 'V' during KVL, this can work, but it is important to keep track of the polarity of the voltage drop associated with the current source. If the polarity is not correctly accounted for, it can lead to incorrect results.

It is also possible that your numbers seemed off due to an algebraic mistake. It is always a good practice to double-check your calculations and equations to ensure accuracy in your analysis.

In summary, KVL can be applied in circuits with current sources, but it may require some additional techniques such as treating the current source as a known voltage drop or using superposition. It is important to be careful with the polarity of the voltage drop associated with the current source and to double-check calculations to ensure accurate results.