Consider the following statements:1.A current source in parallel with a resistor can be converted into a voltage source in series with same resistance.2.A 2A current source in parallel with 5 Ω is equivalent to 10 V voltage source in series with 5 Ω.3.Source transformation is valid only for linear bilateral networks.Which of the above statements is/are correct?

Correct Answer: D - 1, 2 and 3

Quick Concept Explanation

Source transformation preserves the terminal voltage-current behavior of a linear source-resistance pair. A voltage source Vs in series with R is equivalent to a current source Is=Vs/R in parallel with the same R, and conversely Vs=IsR. Key relation: Vs = Is R; Is = Vs/R.

Exam focus: Keep the resistance value unchanged when converting the source form. Common trap: Do not place the transformed resistor in the wrong series/parallel position.

Statement-wise Verification

• Statement 1 - Correct.
  A current source in parallel with a resistor can be converted into a voltage source in series with same resistance.
  A voltage source Vs in series with R is equivalent to a current source Is=Vs/R in parallel with the same R, and conversely Vs=IsR.
• Statement 2 - Correct.
  A 2A current source in parallel with 5 Ω is equivalent to 10 V voltage source in series with 5 Ω.
  A voltage source Vs in series with R is equivalent to a current source Is=Vs/R in parallel with the same R, and conversely Vs=IsR.
• Statement 3 - Correct.
  Source transformation is valid only for linear bilateral networks.
  Source transformation preserves the terminal voltage-current behavior of a linear source-resistance pair.

Core Concept

Source transformation preserves the terminal voltage-current behavior of a linear source-resistance pair. A voltage source Vs in series with R is equivalent to a current source Is=Vs/R in parallel with the same R, and conversely Vs=IsR. The transformation is especially useful for reducing mixed-source resistor networks before nodal or loop analysis.

Formula / Key Relationship

Vs = Is R; Is = Vs/R.

Why the Other Options Are Wrong

Option A is incorrect because it omits correct statement(s) 3. Option B is incorrect because it omits correct statement(s) 1. Option C is incorrect because it omits correct statement(s) 2.

Exam Shortcut / Approach

Keep the resistance value unchanged when converting the source form.

Common Mistake

Do not place the transformed resistor in the wrong series/parallel position.

Quick Revision

Current-Source to Voltage-Source Transformation is linked with Source Transformation, Network Theorems and Network Theory. Keep the resistance value unchanged when converting the source form.