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

Practice Questions

Q1
What is the Thevenin equivalent voltage (Vth) in a circuit with a 10V source and a 2Ω resistor in series with a 4Ω load?
  1. 10V
  2. 7.5V
  3. 5V
  4. 2.5V

Questions & Step-by-Step Solutions

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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