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In a circuit with a 12V battery and two resistors (3Ω and 6Ω) in series, what is

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Question: In a circuit with a 12V battery and two resistors (3Ω and 6Ω) in series, what is the Thevenin equivalent resistance (Rth) seen from the terminals?

Options:

  1. 2Ω
  2. 3Ω
  3. 4Ω
  4. 9Ω

Correct Answer: 4Ω

Solution: 

Thevenin resistance is the sum of the resistors in series: Rth = 3Ω + 6Ω = 9Ω.

In a circuit with a 12V battery and two resistors (3Ω and 6Ω) in series, what is

Practice Questions

Q1
In a circuit with a 12V battery and two resistors (3Ω and 6Ω) in series, what is the Thevenin equivalent resistance (Rth) seen from the terminals?
  1. 2Ω
  2. 3Ω
  3. 4Ω
  4. 9Ω

Questions & Step-by-Step Solutions

In a circuit with a 12V battery and two resistors (3Ω and 6Ω) in series, what is the Thevenin equivalent resistance (Rth) seen from the terminals?
  • Step 1: Identify the components in the circuit. We have a 12V battery and two resistors: one is 3Ω and the other is 6Ω.
  • Step 2: Understand that the resistors are in series. This means they are connected one after the other.
  • Step 3: Recall the formula for total resistance in a series circuit. The total resistance (Rth) is the sum of all resistances.
  • Step 4: Apply the formula. Add the resistance of the first resistor (3Ω) to the resistance of the second resistor (6Ω).
  • Step 5: Calculate the total resistance: Rth = 3Ω + 6Ω.
  • Step 6: Perform the addition: 3 + 6 equals 9.
  • Step 7: Conclude that the Thevenin equivalent resistance (Rth) seen from the terminals 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.
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