# Thevenin Voltage Calculator, Formula, Thevenin Voltage Calculation

## Thevenin Voltage Calculator:

Enter the values of supply voltage, Vs(V), resistors, R3(Ω) and resistor, R1(Ω) to determine the value of output voltage, Va-b(V).

 Enter Supply Voltage: V Enter Resistor One: Ω Enter Resistor Three: Ω Result – Voltage: V

## Thevenin Voltage Formula:

Thevenin’s Theorem is an essential concept in electrical engineering that simplifies the analysis of complex circuits.

It allows any two-terminal linear circuit to be reduced to a simple equivalent circuit consisting of a single voltage source and a single resistor.

The voltage source in this equivalent circuit is known as the Thevenin voltage.

The formula for calculating the Thevenin voltage across two points in a circuit typically involves determining the open-circuit voltage at these points.

Voltage, Va-b(V) in volts is calculated by the product of supply voltage, Vs(V) in volts and resistor, R3(Ω) in ohms and divided by the sum of resistor, R1(Ω) in ohms and resistor, R3(Ω).

Voltage, Va-b(V) = Vs(V) * (R3(Ω) / R1(Ω) + R3(Ω))

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Va-b(V) = Voltage in volts, V.

Vs(V) = supply voltage in volts, V.

R1(Ω) = resistor one in ohms, Ω.

R3(Ω) = resistor three in ohms, Ω.

### Thevenin Voltage Calculation:

1. Calculate the Thevenin voltage across points a and b for a circuit with a 12V supply, a 6-ohm resistor in series (R1), and a 3-ohm resistor in parallel with the load (R3):

Given: Vs(V) = 12V, R1(Ω) = 6ohms, R3(Ω) = 3ohms.

Voltage, Va-b(V) = Vs(V) * (R3(Ω) / R1(Ω) + R3(Ω))

Va-b(V) = 12 * (3 / 6 + 3)

Va-b(V) = 12 * (3 / 9)

Va-b(V) = 42V.

1. Calculate the supply voltage for a circuit with thevenin voltage of 14.4 volts, resistor one of 10Ω, and resistor two of 15Ω:

Given: Va-b(V) = 14.4V, R1(Ω) = 10Ω, R3(Ω) = 15Ω.

Voltage, Va-b(V) = Vs(V) * (R3(Ω) / R1(Ω) + R3(Ω))

Vs(V) = Va-b(V) * (R1(Ω) + R3(Ω)) / R3(Ω)

Vs(V) =  14.4 * (10 + 15) / 15

Vs(V) = 14.4 * (25 / 15)

Vs(V) = 24V.

### Applications and Considerations:

• Circuit Design: Engineers use Thevenin’s theorem to design and troubleshoot electronic circuits effectively.
• Educational Tool: It’s a fundamental teaching tool in electronics and electrical engineering education to explain circuit simplification.
• Power Systems: Helps in the maintenance and fault analysis of power distribution systems.
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