# Equivalent generator method, solution example

**Given**

Е

_{1}=9 V;

Е

_{2}=13 V;

Е

_{3}=15 V;

J=1,4 А;

R

_{1}=12 ohms;

R

_{2}=16 ohms;

R

_{3}=9 ohms;

R

_{4}=5 ohms;

R

_{5}=10 ohms.

**Find**

Current on the R

_{2}resistor by the

**equivalent generator method**:

## Solution

According to the

U

R

R

We find the generator impedance and voltage of the no-load. In calculating the equivalent resistance, we notice that the EMF source impedance is equal zero and resistance of the current source is infinite. Construct a diagram of the equivalent generator:

**theorem of the equivalent generator**the load current can be found by formula:U

_{хх}— voltage of the generator no-load;R

_{н}— load impedance;R

_{г}— generator impedance concerning load terminals.We find the generator impedance and voltage of the no-load. In calculating the equivalent resistance, we notice that the EMF source impedance is equal zero and resistance of the current source is infinite. Construct a diagram of the equivalent generator:

and diagram for finding resistance:

**Ответ:**I

_{2}=-0,076 А.

The current through R

_{2}resistor found by the node potential method coincides with the calculated above that confirms the correctness of the solution.