In source transformation________

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Examoogle · Accepted Answer

Resistances remain the same

Explanation: In source transformation, a practical voltage source (voltage source in series with a resistance) is equivalent to a practical current source (current source in parallel with the same resistance). The resistance value $R$ remains unchanged in both configurations to ensure the load characteristics remain identical.

Working Principle: The principle relies on Thevenin's and Norton's theorem. To convert a voltage source $V_s$ with series resistance $R_s$ to a current source $I_s$ with parallel resistance $R_p$, we set $R_p = R_s$ and $I_s = V_s / R_s$. This equivalence holds for any load connected across the terminals.

Key Formulas: $V_s = I_s 	imes R_s$ — Relationship between voltage source and current source values; $R_p = R_s$ — The resistance remains identical during transformation

Key Points: Source transformation is valid only for linear, bilateral circuits.; The polarity of the voltage source and the direction of the current source must match.; The internal resistance $R$ is shifted from series (for voltage) to parallel (for current).

Advantages: Simplifies complex circuits by reducing the number of nodes or loops.; Easier calculation for circuits with multiple sources.

Disadvantages: Cannot be applied if the terminals of the source are connected to the internal part of the network.; Does not inherently simplify non-linear circuits.

Applications: Nodal analysis simplification.; Mesh analysis optimization.

Additional Info: If the source is ideal, it has zero internal resistance (voltage) or infinite internal resistance (current), making transformation impossible without a finite resistance.. Option A and B are incorrect because the source value changes during the conversion based on the value of the resistance.

Answer: D is correct — The resistance $R$ is identical in both the voltage source configuration and the current source configuration during source transformation.

Exam Tip: Remember that source transformation can only be performed if the resistance is connected in series with a voltage source or in parallel with a current source.

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