Can you source transform dependent sources

Combining both current sources, we obtain. Adding resistance in a parallel manner will give us the following circuit.

The resulting diagram in figure 3 still has the control voltage v 2 in place, as required. This parallel equivalent resistance carries the net current from the sources, and so. Solving for V 2 yields. You must be logged in to post a comment. Want create site? Find Free WordPress Themes and plugins. Source Transformation. Source transformation is a circuit analysis technique in which we transform voltage source in series with resistor into a current source in parallel with the resistor and vice versa.

Did you find apk for android? We remember that the term equivalent of a circuit where v-i characteristics are identical with the original circuit. Basic to these tools is the concept of equivalence.

We recall that an equivalent circuit is one whose v-i characteristics are identical with the original circuit. We recall that node voltage or mesh current analysis equations are written with a simple inspection of the circuit when the sources are independent voltage source or independent current source.

It is very convenient to be able to do substitution between a voltage source connected series with a resistor and a current source connected parallel with a resistor. The example of this idea can be seen in Figure. Either substitution is known as a source transformation. A source transformation is the process of replacing a voltage source vs in series with a resistor R by a current source is in parallel with a resistor R, or vice versa.

At the first glance it seems two circuits in Figure. How do we know those circuits are equivalent? When we turn off their sources, the equivalent resistance at a-b in both circuits is R.

When we make the a-b short-circuited:. From this we conclude that source transformation formula is written as:. Not only for independent sources, we can also implement source transformation for dependent sources. We can see the example in Figure. We transform this into a dependent current source connected parallel with the same resistor or vice versa.

We also use the Equation. This is a powerful method to manipulate circuits for easier analysis. However, we should keep the following points in mind when dealing with source transformation. Observe the circuit example below to understand how to do source transformation current to voltage. Electrical Engineering Stack Exchange is a question and answer site for electronics and electrical engineering professionals, students, and enthusiasts.

It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. Would it be correct to use use source transformation on a dependent source. For example, would it be legal to turn a voltage dependent voltage source in series with a resistor, into a voltage dependent current source, in parallel with the resistor?

Does the regular application of Ohm's law apply. The answer is yes. Let's take a generic network N and spot one generator either current or voltage , for now we will not consider it as dependant. I will name quantities with capital letters, i.

V, I, meaning DC values, AC phasors, Laplace's variables but also -pushing a little- time domain quantities or whatever can be useful provided it can be handled by corresponding calculation rules. Switching to controlled generators and stripping off fancy N' graphics we get to this two circuits. From inside we cannot tell which is connected.

So in this case controlled generator can be transformed freely. External control variable: we just have six possibilities -depicted in blue below-, so we can easily run through them all. What we need to do is relate those six external quantities to internal ones, so we can recover those lost in converting from current to voltage generator. So having expressed all possible control variables as function of -unchanged- internal ones we are allowed to transform from current to voltage generator.

Voltage and current controlled sources can be transformed each other. To do so it might be necessary to do some math on control variable, but this is going to be always possible.

The answer is yes, source transformation is valid for dependant sources.