Kirchhoff’s Loop Rule Formula.

Assyou all know, there are two Kirchhoff’s rules which are the junction rule and the loop rule. For instance, you see that a weightlifter needs to work to move a dumbbell from the ground (low potential) to his arm’s length (high potential). When he lets it go, gravity works to move it back to the ground. Thus, the dumbbell went in a loop. It began on the ground reached the maximum height then returned to the ground again. Thus, the net change in GPE (gravitational potential energy) is zero as there is neither gain nor loss of net energy. Similarly, we have a battery doing the same thing. However, in this case, it moves from negative to positive. Thus, this change in electric potential will be called voltage. We will study here about the kirchhoff’s loop rule formula.

Definition

Kirchhoff’s loop rule explains that the sum of all the electric potential differences nearby a loop is 0. Sometimes, we also refer to it as Kirchhoff’s voltage law or Kirchhoff’s second law. In other words, it states that the energy which the battery supplies get used up by all the other components in a loop.

It is so because energy cannot enter or leave a closed circuit. The rule is an application of the preservation of energy in terms of the electric potential difference ΔV.

Get the huge list of Physics Formulas here

Formula

You will notice that any loop of a closed circuit consists of a number of circuit elements like batteries and resistors. The sum of the voltage differences throughout all these elements of circuits should be zero. We refer to this as Kirchhoff’s Loop Rule.

We measure the differences in voltage in Volts (V). When you have the current I in the loop given Amperes (A) and resistance of circuit elements in Ohms (Ω), then we can find the voltage difference across a resistor by using the formula V = IR.

Thus, you will get:

∑V = 0

Over here:

∑V is the sum of voltage differences around a circuit loop which is 0

V is the voltage difference (Vol