A current source connected in parallel with a resistor can be converted to a?

Question

Examoogle · Accepted Answer

Voltage source in series with a resistor

Explanation: A current source in parallel with a resistor can be transformed into a voltage source in series with the same resistor using Source Transformation. This is based on the equivalence of the terminal characteristics of both configurations.

Working Principle: According to the principle of source transformation, a current source $I$ in parallel with a resistor $R$ produces the same terminal voltage and current as a voltage source $V = I 	imes R$ connected in series with the same resistor $R$. Both circuits are externally equivalent, meaning the load connected to their terminals will experience identical voltage and current flow in both cases.

Key Formulas: $V = I 	imes R$ — Equivalence relationship where V is the voltage source and I is the current source.; $I = \frac{V}{R}$ — Conversion from voltage source to current source.

Key Points: Source transformation is valid only for linear circuits.; The resistor value $R$ remains unchanged during transformation.; The arrow of the current source points toward the positive terminal of the equivalent voltage source.; This technique simplifies network analysis using nodal or mesh methods.

Advantages: Simplifies complex circuits for easier analysis.; Reduces the number of nodes or loops in a circuit.

Disadvantages: Does not apply to non-linear components directly.; Terminal behavior is only identical externally, not internally.

Applications: Simplifying circuit meshes.; Network theorem derivations like Thevenin and Norton equivalents.

Additional Info: Source transformation is the basis for the duality between Thevenin's and Norton's Theorems.. Option A is incorrect because current sources must remain in parallel to be equivalent to series voltage sources, not vice versa.

Answer: B is correct — A current source in parallel with a resistor $R$ is equivalent to a voltage source $V = IR$ in series with the same resistor $R$.

Exam Tip: Always remember that the resistance remains the same value but changes its connection configuration (parallel to series) during source transformation.

Related Questions

Discussion (0)