Consider 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?

  1. Only 1
  2. Only 2
  3. Both 1 and 2
  4. Neither 1 nor 2

Answer (Detailed Solution Below)

Option 3 : Both 1 and 2
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Detailed Solution

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CONCEPT:

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.

 

F2 P.Y Madhu 16.04.20 D 3

  • 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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