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According to Kirchhoff’s voltage law, the algebraic sum of the voltage around a closed loop in a circuit must be:

According to Kirchhoff’s voltage law, the algebraic sum of the voltage around a closed loop in a circuit must be: Correct Answer Zero

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.

 

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  • 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, 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 the 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 loop rule will be (n - 1).

 

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Here, the assumed current I causes a + ve drop of voltage when flowing from +ve to – ve potential while – ve drop of voltage when a current flowing from – ve to + ve for the above circuit,

 If we apply KVL,

−V + I R1 + I R2 = 0

So, algebraic sum of the voltage around a closed loop in a circuit must be zero.

Explanation:

The Kirchoff’s Voltage law states that the algebraic sum of the voltage around a closed loop in a circuit must be zero.

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