Question

Norton's theorem is true for

• A. \( \text{Linear networks} \)
• B. \( \text{Non-Linear networks} \)
• C. \( \text{Both linear networks and nonlinear networks} \)
• D. \( \text{Neither linear networks nor non-linear networks} \)

Hint:

Many fundamental circuit theorems, including Thevenin's Theorem, Norton's Theorem, and the Superposition Theorem, are applicable exclusively to linear circuits}. This is a crucial constraint to remember. If a circuit contains non-linear components (like diodes or transistors not operating in their linear region), these theorems generally cannot be directly applied.

Answer 1

The Correct Option is A

The question asks for what type of networks Norton's theorem is applicable.

1. Understanding the Concepts:

- Norton's Theorem: A simplification technique for linear circuits, stating that any linear circuit can be replaced by an equivalent circuit consisting of a current source (I_N) in parallel with a resistance (R_N). 
- Linear Network: A network composed of linear circuit elements (resistors, inductors, capacitors, linear dependent sources) where the principle of superposition applies. 
- Non-Linear Network: A network containing at least one non-linear element (e.g., diodes, transistors) where the principle of superposition does not apply.

2. Analyzing the Options:

Norton's theorem relies on the principle of superposition, which is only applicable to linear networks.

Final Answer:

Norton's theorem is true for Linear networks.