Question

“Any linear circuit containing several voltage sources and resistances can be reduced to an equivalent single voltage source and resistance” is according to:

• A. Maximum power transfer theorem
• B. Superposition theorem
• C. Norton’s theorem
• D. Thevenin’s theorem

Hint:

Thevenin’s theorem simplifies circuits to one voltage source and one resistor in series.

Answer 1

The Correct Option is D

Thevenin’s theorem states that any linear electrical network with multiple voltage sources and resistors can be reduced to a single voltage source, V_th, in series with a single resistor, R_th. This simplifies the analysis of power systems and circuits.

This theorem is particularly useful in analyzing circuits with open or closed loads, as it allows for simplification by replacing the entire network barring the load with a Thevenin equivalent circuit, making complex calculations more manageable.

The steps to determine the Thevenin equivalent are:

1. Remove the load resistor from the circuit.
2. Calculate the open-circuit voltage across the terminals, known as the Thevenin voltage V_th.
3. To find the Thevenin resistance R_th, deactivate all independent voltage sources (replace them with short circuits) and all independent current sources (replace them with open circuits) in the original circuit. Then, calculate the resistance seen from the open terminals.
4. Replace the original circuit (without the load) by the simplified Thevenin equivalent circuit.

Thus, the question describes Thevenin's theorem.