What is the Thevenin equivalent voltage (Vth) in a circuit with a 10V source and

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Question: What is the Thevenin equivalent voltage (Vth) in a circuit with a 10V source and a 2Ω resistor in series with a 4Ω load?

Options:

Correct Answer: 7.5V

Solution:

Vth = Vsource * (Rload / (Rseries + Rload)) = 10V * (4Ω / (2Ω + 4Ω)) = 10V * (4/6) = 7.5V.

What is the Thevenin equivalent voltage (Vth) in a circuit with a 10V source and a 2Ω resistor in series with a 4Ω load?

What is the Thevenin equivalent voltage (Vth) in a circuit with a 10V source and a 2Ω resistor in series with a 4Ω load?

Step 1: Identify the components in the circuit. We have a 10V voltage source, a 2Ω resistor (Rseries), and a 4Ω load resistor (Rload).
Step 2: Write down the formula for Thevenin equivalent voltage (Vth). The formula is Vth = Vsource * (Rload / (Rseries + Rload)).
Step 3: Substitute the values into the formula. Here, Vsource = 10V, Rload = 4Ω, and Rseries = 2Ω.
Step 4: Calculate the total resistance in the denominator. Rseries + Rload = 2Ω + 4Ω = 6Ω.
Step 5: Now substitute the values into the formula: Vth = 10V * (4Ω / 6Ω).
Step 6: Simplify the fraction: 4Ω / 6Ω = 2/3.
Step 7: Multiply 10V by 2/3 to find Vth: Vth = 10V * (2/3) = 20/3V.
Step 8: Convert 20/3 to a decimal: 20/3 = 6.67V.
Step 9: Therefore, the Thevenin equivalent voltage (Vth) is approximately 6.67V.

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