Question
Download Solution PDFConsider the following statements
1. Kirchhoff's Voltage Law is based on Kirchoff’s second law.
2. Kirchoff’s second law represents the conservation of energy.
Which of the following statements is/are correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
There are two types of Kirchoff’s Laws:
Kirchoff’s first law:
- This law is also known as junction rule or current law (KCL). According to it the algebraic sum of currents meeting at a junction is zero i.e. Σ i = 0.
- In a circuit, at any junction, the sum of the currents entering the junction must be equal the sum of the currents leaving the junction i.e., i1 + i3 = i2 + i4
- This law is simply a statement of “conservation of charge” as if current reaching a junction is not equal to the current leaving the junction, the charge will not be conserved.
Kirchoff’s second law:
- This law is also known as loop rule or voltage law (KVL) and according to it “the algebraic sum of the changes in potential in a complete traversal of a mesh (closed-loop) is zero”, i.e. Σ V = 0.
- This law represents “conservation of energy” as if the sum of potential changes around a closed loop is not zero, unlimited energy could be gained by repeatedly carrying a charge around a loop.
- If there are n meshes in a circuit, the number of independent equations in accordance with the loop rule will be (n - 1).
EXPLANATION:
- From above it is clear that Kirchoff’s second law is also known as loop rule or voltage law (KVL). Therefore statement 1 is correct.
- From above it is clear that Kirchoff’s second law represents “conservation of energy” as if the sum of potential changes around a closed loop is not zero, unlimited energy could be gained by repeatedly carrying a charge around a loop. Therefore statement 2 is correct.
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