Current Sources in Parallel
We found that voltage sources of different terminal voltages cannot be
placed in parallel because of a violation of Kirchhoff's voltage law.
Similarly,
However, current sources can be placed in parallel just as voltage
sources can be placed in series. In general,
Consider the following example.
Example 1: Reduce the parallel current sources in [Fig. 1] to a
single current source.
Solution: The net source current is
with the direction being that of the larger source.
The net internal resistance is the parallel combination of resistances,
$R_1$ and $R_2$:
The reduced equivalent appears in [Fig. 2].
Fig 1: Parallel current sources for Example 1.
$$I = 10 A - 6 A = 4 A$$
$$R_p = 3 Ω || 6 Ω = 2 Ω$$
Fig. 2: Reduced equivalent for the configuration of Fig. 1.
Related Questions
2025-08-02 13:44:45
2025-08-02 13:41:48
Be the first to comment here!

Do you have any questions?