Question

Step 1

The superposition theorem for any linear circuit states that the total current or voltage in any part of the circuit equals the algebraic sum of currents or voltages produced by each independent source separately.

The mathematical form of superposition theorem:

Step 2

Consider only 4 V independent source acts on the circuit.

Therefore, the circuit becomes

Now, the voltage across *R*_{2} can be calculated using voltage division rule.

The mathematical formula for voltage division rule is

Where *v*_{R2} is the voltage across *R*_{2} resistance, *V* is the independent source voltage.

Therefore,

The given value of *R*_{1}, *R*_{2}, *R*_{3 }is

The equivalent resistance of *R*_{2} and *R*_{3 }is

This is the voltage across *R*_{2} when only 4 V source is present.

Step 3

Consider only 2 V independent source acts on the circuit.

Therefore, the circuit becomes

Now, the voltage across *R*2 can be calculated using voltage division rule.

The mathematical formula for voltage division rule is

Where *v*R2 is the voltage across *R*2 resistance, *V* is the independent source voltage.

Therefore,

The given value o...

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