In a circuit with a 12V source and a 3Ω resistor in series with a 6Ω load, what

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Question: In a circuit with a 12V source and a 3Ω resistor in series with a 6Ω load, what is the Thevenin equivalent resistance (Rth)?

Options:

Correct Answer: 9Ω

Solution:

Rth = Rseries + Rload = 3Ω + 6Ω = 9Ω.

In a circuit with a 12V source and a 3Ω resistor in series with a 6Ω load, what is the Thevenin equivalent resistance (Rth)?

In a circuit with a 12V source and a 3Ω resistor in series with a 6Ω load, what is the Thevenin equivalent resistance (Rth)?

Step 1: Identify the components in the circuit. We have a 12V source, a 3Ω resistor, and a 6Ω load.
Step 2: Understand that the 3Ω resistor and the 6Ω load are in series. This means they are connected one after the other.
Step 3: To find the Thevenin equivalent resistance (Rth), we need to add the resistances of the series components together.
Step 4: Calculate Rth by adding the resistance of the 3Ω resistor and the 6Ω load: Rth = 3Ω + 6Ω.
Step 5: Perform the addition: 3Ω + 6Ω = 9Ω.
Step 6: Conclude that the Thevenin equivalent resistance (Rth) is 9Ω.

Thevenin's Theorem – Thevenin's Theorem states that any linear circuit with voltage sources and resistors can be replaced by an equivalent circuit consisting of a single voltage source and a single resistor.
Series Resistors – In a series circuit, the total resistance is the sum of the individual resistances.