Current in a circuit

Question

Answer 1

Step 1:

Super Position Theorem :

Take one current source at a time and replace all other current sources with open circuit and voltage sources with short or internal resistance.

Consider 2 A current source.

Use the current dividing rule to find the current through the 120 resistor.

Step 2:

Take another current source at a time and replace all other current sources with open circuit and voltage sources with short or internal resistance.

Consider I₁ A current source.

Use the current dividing rule to find the current through the 120 resistor.

Step 3:

Take voltage source at a time and replace all other current sources with open circuit.

Consider 75 V current source.

Find the equivalent resistance.

Circuit current is .

Step 4:

The cuurent flowing through the 120 resistor with the effect of 3 active sources.

From the step (2) results .

Therefore the amount of current provided by the current source is .

The direction of the current moves opposite to the 120 resistor.

Solution :

Current source is .

Direction of the current is moving opposite to the 120 resistor.