Superposition Theorem: Statement Explanation

The question asks to identify the correct statement describing the superposition theorem in electrical circuits.

Understanding the Superposition Theorem

The superposition theorem is applicable to linear circuits. It states that the response (voltage or current) in any part of a linear circuit containing multiple independent sources can be found by summing the responses caused by each independent source acting alone.

Analysis of Options

• Option 1: "The algebraic sum of all the voltages around any closed path is zero." This statement describes Kirchhoff's Voltage Law (KVL), not the superposition theorem.
• Option 2: "The overall current in any part of a linear circuit is equal to the algebraic sum of the currents produced by each source separately." This is the correct definition of the superposition theorem applied to current. It applies similarly to voltage.
• Option 3: "The sum of currents entering a node is equal to the sum of currents leaving the node." This statement describes Kirchhoff's Current Law (KCL), not the superposition theorem.
• Option 4: "The algebraic sum of all the voltages around any closed path is equal to one." This statement is incorrect and does not represent any standard circuit theorem. KVL states the sum is zero.
• Option 5: This option is empty.

Conclusion

Based on the analysis, the correct statement that accurately defines the superposition theorem is Option 2.