Thevenin and Norton Theorem Circuits Conversion | Solved Problems

Thevenin and Norton Theorem Circuits Conversion | Solved Problems

Thevenin Theorem and Norton Theorem are two important techniques for complex circuit solutions. Sometimes changing the Thevenin Equivalent Circuit to Norton Equivalent Circuit or Norton Equivalent Circuit to Thevenin Equivalent Circuit can be solved more easily. Today we will discuss in detail the transition from Thevenin Equivalent Circuit to Norton Equivalent Circuit and Norton Equivalent Circuit to Thevenin Equivalent Circuit.

  • The need to convert from one circuit to another.
  • The Thevenin Equivalent Circuit and Norton Equivalent Circuit.
  • The Transformation Method from Thevenin Equivalent Circuit to Norton Equivalent Circuit.
  • The transition from Norton Equivalent Circuit to Thevenin Equivalent Circuit.
  • Mathematical examples.

Requirements to convert from one circuit to another

  • If we do not solve the circuit through the same theorem, then the quality will not change. However, one of the major advantages of transforming from one theorem to another is that if one circuit is remembered and the other does not seem to be so, it can be solved very easily by converting one theorem’s circuit to another.
  • In addition, when we work with a complex circuit in the lab, if there is no source of a voltage source or current source, we can easily calculate the output of another using that one source.

The Thevenin Equivalent Circuit and Norton Equivalent Circuit include:

At first, we didn’t know what the Thevenin Equivalent Circuit was and what Norton Equivalent Circuit contained,

  • Thevenin Equivalent Circuit contains the Thevenin voltage (Vth)  And a Thevenin Resistance in the series (Rth)। 
  • On the other hand Norton Equivalent Circuit There is a Norton Current (IN) And a Parallel Resistance (RN)।

The Transition from Thevenin Equivalent Circuit to Norton Equivalent Circuit:

Thevenin Equivalent Circuit Who Norton Equivalent Circuit In order to convert this, we have the Thevenin voltage (Vth) K. Norton Current  (IN) And series Thevenin Resistance (Rth) to Norton Resistance in Parallel (RN) It has to be converted.

Notice the following circuit two,

thevenin and norton theorem
Thevenin Equivalent Circuit
thevenin and norton theorem
Norton Equivalent Circuit

Here,

Rth = RN; This is because the Thevenin Theorem resistances to the circuit (Rth) Are extracted, just like the Norton Theorem (RN)The interesting thing is, the values are the same in both cases.

Come on,  VthBy the way  VN I’ll find out  

The easiest way to do this is to use Ohm’s Law triangle diagram:

The triangle image of Ohm’s Law is,

thevenin and norton theorem
Triangle diagram of Ohm’s Law.

Here,

Current I = IN

Voltage V = Vth

Resistance R = Rth = Rn

So according to Ohm’s Law IN = Vth / Rth.

thevenin and norton theorem

Conversion from Thevenin Equivalent Circuit to Norton Equivalent Circuit.

Examples:

thevenin and norton theorem
Thevenin Equivalent Circuit

There is a Thevenin Equivalent Circuit given above. We will convert this circuit to Norton Equivalent Circuit.

Solution:

It is best if we do not draw a Norton Equivalent circuit like the following simple in the field.

thevenin and norton theorem
Circuit Norton Equivalent Circuit

Since the resistance is the same in both the Thevenin and Norton circuits,

Rth = R= 8 Ω 

Now we have to find the Norton Current:

According to Ohm’s sources,

IN = Vth / Rth

⇒ I= 40 V / 8 Ω

.·. IN = 5 Ω

This time we are in the circuit above RN And I   By adjusting its value, we get a Thevenin Equivalent Circuit.

Therefore, The Thevenin Equivalent Circuit will be,

thevenin and norton theorem
Norton equivalent circuit

The Transition from Norton Equivalent Circuit to Thevenin Equivalent Circuit:

Let’s convert Norton Equivalent Circuit to Thevenin Equivalent Circuit:

Since both the circuits have the same resistance, so here RN = Rth.

This time we will convert the Norton current to the Thevenin voltage and use Ohm’s formula here as before.

So, Vth = I× RN.

thevenin and norton theorem
Conversion from Norton Equivalent Circuit to Thevenin Equivalent Circuit.

For Example:

thevenin and norton theorem
Norton Equivalent Circuit

In the figure above is given a Norton Equivalent Circuit. We will convert this circuit to Thevenin Equivalent Circuit.

Solution:

First, we plot a simple Thevenin Equivalent Circuit:

thevenin and norton theorem
Thevenin equivalent circuit.

Since the resistance is the same in both the circuit

R= Rth = 2 Ω

Now we will calculate the Thevenin voltage:

According to Ohm’s sources,

Vth = I× RN

⇒ Vth = 3 A × 2 Ω

⇒ Vth = 6 V

So, Thevenin Equivalent Circuit will be,

thevenin and norton theorem
Thevenin Equivalent Circuit

So far, everyone will be well, healthy and will practice some such circuits manually.

Reference by,

Wikipedia

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