Thevenin Voltage Calculator, Formula, Thevenin Voltage Calculation

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’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:

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: 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.

2. 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:

• 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: