__Thevenin Voltage Calculator:__

__Thevenin Voltage Calculator:__

Enter the values of supply voltage, V_{s(V)}, resistors, R_{3(Ω)} and resistor, R_{1(Ω)} to determine the value of output voltage, V_{a-b(V)}.

__Thevenin Voltage Formula:__

__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, V_{a-b(V)} in volts is calculated by the product of supply voltage, V_{s(V)} in volts and resistor, R_{3(Ω)} in ohms and divided by the sum of resistor, R_{1(Ω)} in ohms and resistor, R_{3(Ω)}.

Voltage, V_{a-b(V)} = V_{s(V)} * (R_{3(Ω)} / R_{1(Ω)} + R_{3(Ω)})

V_{a-b(V)} = Voltage in volts, V.

V_{s(V)} = supply voltage in volts, V.

R_{1(Ω)} = resistor one in ohms, Ω.

R_{3(Ω)} = resistor three in ohms, Ω.

__Thevenin Voltage Calculation:__

__Thevenin Voltage Calculation:__

**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: V_{s(V)} = 12V, R_{1(Ω)} = 6ohms, R_{3(Ω)} = 3ohms.

Voltage, V_{a-b(V)} = V_{s(V)} * (R_{3(Ω)} / R_{1(Ω)} + R_{3(Ω)})

V_{a-b(V)} = 12 * (3 / 6 + 3)

V_{a-b(V)} = 12 * (3 / 9)

V_{a-b(V)} = 42V.

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

Given**: **V_{a-b(V)} = 14.4V, R_{1(Ω)} = **10Ω, **R_{3(Ω)} = **15Ω.**

Voltage, V_{a-b(V)} = V_{s(V)} * (R_{3(Ω)} / R_{1(Ω)} + R_{3(Ω)})

V_{s(V)} = V_{a-b(V)} * (R_{1(Ω)} + R_{3(Ω)}) / R_{3(Ω)}

V_{s(V)} = 14.4 * (10 + 15) / 15

V_{s(V)} = 14.4 * (25 / 15)

V_{s(V)} = 24V.

__Applications and Considerations:__

__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.

__Thevenin’s Theorem:__

__Thevenin’s Theorem:__