Thevenin Equivalent Formula

The process for analyzing a DC circuit using Thevenin's Theorem requires the following steps: Find the Thevenin Resistance by removing all voltage sources and load resistor. Find the Thevenin Voltage by plugging in the voltages. Use the Thevenin Resistance and Voltage to find the current flowing through the load.

What is Thevenin's theorem formula?

Any combination of batteries and resistances with two terminals can be replaced by a single voltage source e and a single series resistor r. The value of e is the open circuit voltage at the terminals, and the value of r is e divided by the current with the terminals short circuited.

What is VTH and RTH Thevenin equivalent Vth?

Thévenin's theorem is a process by which a complex circuit is reduced to an equivalent circuit consisting of a single voltage source (VTH) in series with a single resistance (RTH) and a load resistance (RL).

What is Thevenin's equivalent voltage?

The voltage drop across both resistors is the same. Step 5: Draw the Thevenin's equivalent circuit. The Thevenin's equivalent circuit consists of a series resistance of 6.67 Ω and a voltage source of 13.33 V.

What is rth in Thevenin's theorem?

The equivalent resistance Rth is the resistance that the circuit between terminals A and B would have if all ideal voltage sources in the circuit were replaced by a short circuit and all ideal current sources were replaced by an open circuit.

Why is Thevenin theorem used?

Thevenin's Theorem is especially useful in analyzing power systems and other circuits where one particular resistor in the circuit (called the “load” resistor) is subject to change, and re-calculation of the circuit is necessary with each trial value of load resistance, to determine voltage across it and current

How do you solve the Thévenin and Norton equivalent circuit?

Thevenin and Norton's resistances are equal. Thevenin voltage is equal to Norton's current times Norton resistance. Norton current is equal to Thevenin voltage divided by Thevenin resistance.

How do you calculate equivalent resistance?

The equivalent resistance is the algebraic sum of the resistances (Equation 10.3. 2): RS=R1+R2+R3+R4+R5=20Ω+20Ω+20Ω+20Ω+10Ω=90Ω. The current through the circuit is the same for each resistor in a series circuit and is equal to the applied voltage divided by the equivalent resistance: I=VRS=9V90Ω=0.1A.

What is Thévenin impedance?

The Thevenin impedance is the impedance looking back from AB with V1 replaced by a short circuit and is therefore a a series-parallel combination. For impedances. Z1 = + j.

Is RTh is equal to RN?

The Norton equivalent resistance (RN) is equal to the Thévenin equivalent resistance (RTh). Calculate RTh as described in step 2 in the Thévenin equivalent circuit. and RN = RTh. The Thévenin equivalent circuit is the source transformation of the Norton equivalent circuit.

What is VTH?

Gate threshold voltage (Vth) Vth stands for "threshold voltage." Vth is the gate voltage that appears when the specified current flows between source and drain. Vth measurement. Gate-source voltage, VGS, is increased until drain current, ID, reaches the specified value, at which point VGSis measured.

What is the condition for finding Vth?

Thévenin equivalent circuit represents a general circuit in a form of an independent voltage source Vth with a since resistance Rth. Second, reduce the load resistance to zero (short circuit). Condition, if more short circuit access the terminal and in general circuit.

What is Thevenin's equivalent resistance?

4 Thevenin's Theorem. Thevenin's Theorem is a technique that allows us to convert a circuit (often a complex circuit) into a simple equivalent circuit. The equivalent circuit consists of a constant voltage source and a single series resistor called the Thevenin voltage and Thevenin resistance, respectively.

What is Max power transfer formula?

Maximum Power Transfer Formula As shown in the figure, a dc source network is connected with variable resistance RL. The fundamental Maximum Power Transfer Formula is. P m a x = V T h 2 4 R T h.

What is superposition theorem formula?

Superposition theorem states that in any linear, bilateral network where more than one source is present, the response across any element in the circuit is the sum of the responses obtained from each source considered separately. In contrast, all other sources are replaced by their internal resistance.

How do you calculate RTH in a circuit?

So since we have B th now we are in a position to find out rth in the next slide we will see how to

What is Norton's current?

Norton's equivalent circuit resembles a practical current source. Hence, it is having a current source in parallel with a resistor. The current source present in the Norton's equivalent circuit is called as Norton's equivalent current or simply Norton's current IN.

What conditions apply Thevenin Theorem?

In AC circuits the thevenin's theorem can be stated as any two terminal, linear bilateral circuit consisting of linear elements and active sources connected across the terminal of ZL can be replaced by a single equivalent voltage source of Vth with a single impedance Zth across the two terminals of ZL.

What is the difference between Thevenin and Norton theorem?

Thevenin's Theorem utilises a voltage source, while Norton's Theorem uses a current source. Norton's Theorem employs a resistor set in parallel over the source, whereas Thevenin's Theorem utilises a resistor in series. From Thevenin's Theorem, Norton's Theorem can be easily derived.

How do you solve the Thevenin equivalent circuits with dependent sources?

Current. This is when we have one when we have at least one independent source and one dependent