Paths and Circuits

Introduction on Paths and Circuits:

Paths and circuits were first discovered by a mathematician known as Leonhard Euler. He discovered these while solving the famous problem “Seven Bridges of Konigsberg” in the year 1736. He named his paths as Eulerian paths and circuits as Eulerian circuits. Basically he have discovered these paths and circuits in order to find the solutions of graphical math’s problems, but inspired with his discovery, another scientist named Kirchoff's implement these paths and circuits in physics circuits to find the solutions of problems. Understanding Heat Capacity Formula is always challenging for me but thanks to all math help websites to help me out.

Concept of Paths and Circuits:

Eulerian paths and circuits in graphs use edges to get connected and it also uses each edge only once. But as per Kirchoff's rules for paths and circuits, we use them in order to make a way for current to pass through circuits. Paths and circuits are categorized in two ways, they are:

Series circuits
Parallel circuits.
In series circuits, the current remains the same as it passes through each element while potential difference decreases. The current passing in all parts of a series circuit has the same magnitude.

In parallel circuits, the voltage remains the same while the current differs in each element. The current passing through each circuit has different magnitude in parallel circuits. Is this topic Permanent Magnet Motor Free Energy hard for you? Watch out for my coming posts.

Examples of Paths and Circuits:

The above explained two types of paths and circuits have been deeply implemented in various problems to find their exact solutions. For example (series circuit),

The formula to be used in series circuits when some “n” loads are connected:

Current = current in 1st element = current in 2nd element =……..up to n elements. (Is = I1 = I2 =……. = In)

Voltage = voltage in 1st element = voltage in2nd element = ….up to n elements. (Vs = V1 = V2 =……..=Vn)

Equivalence resistance => Rs = R1 + R2 + R3…….Rn

In case of parallel circuits the formula will be:

Current = Current in 1st + Current in2nd +……… up to n elements.

(Ip = I1+I2 +…….up to n)

Voltage = Voltage in 1st = Voltage in 2nd = ………. Up to n elements

(Vp = V1 = V2 = …….. up to n).

Equivalence resistance = R1 * R2 *……………Rn / R1 + R2 +……………Rn)

Summary on Paths and Circuits:

These paths and circuits proved to be very useful in electrical circuit analysis. Ohms and Kirchhoff’s law contributed much to analyze these paths and circuits.