Source transformation principle: Is it impossible to convert between an ideal voltage source with series resistance and an equivalent current source with parallel resistance (and vice versa)?

Introduction / Context:Source transformations are a powerful analysis tool, allowing engineers to replace a Thevenin source with its Norton equivalent, simplifying circuit calculations without changing external terminal behavior.

Given Data / Assumptions:

• Thevenin form: ideal voltage source Vth in series with Rth.
• Norton form: ideal current source In in parallel with Rn.
• Equivalence is at the same two external terminals and for linear bilateral elements.

Concept / Approach:

The conversions are defined by In = Vth / Rth and Rn = Rth. Conversely, Vth = In * Rn. The two models produce the same open-circuit voltage, short-circuit current, and terminal V–I relation, ensuring equivalence.

Step-by-Step Solution:

Verification / Alternative check:

Plot the terminal V–I characteristic; both models yield V = Vth − I * Rth = In * Rn − I * Rn, which are algebraically identical when Rn = Rth and In = Vth / Rth.

Why Other Options Are Wrong:

• Equivalence does not require zero resistance; it requires the stated relationships.
• Linearity is the key assumption; nonlinearity is not a requirement.
• The method applies to both DC and AC (using phasors/impedances).

Common Pitfalls:

Forgetting to keep the resistance the same in both forms, or mixing up open-circuit and short-circuit conditions when deriving In or Vth.

Final Answer:

False