What is the Thevenin equivalent voltage across a 5Ω resistor in a circuit with a

Practice Questions

Q1
What is the Thevenin equivalent voltage across a 5Ω resistor in a circuit with a 10V source and a 10Ω resistor in series?
  1. 10V
  2. 5V
  3. 15V
  4. 0V

Questions & Step-by-Step Solutions

What is the Thevenin equivalent voltage across a 5Ω resistor in a circuit with a 10V source and a 10Ω resistor in series?
  • Step 1: Identify the components in the circuit. We have a 10V voltage source, a 10Ω resistor, and a 5Ω resistor in series.
  • Step 2: Understand that the total resistance in the circuit is the sum of the resistances: 10Ω + 5Ω = 15Ω.
  • Step 3: Use the voltage divider rule to find the voltage across the 5Ω resistor. The formula is V_th = V_total * (R_target / R_total).
  • Step 4: Substitute the values into the formula: V_th = 10V * (5Ω / 15Ω).
  • Step 5: Simplify the fraction: 5Ω / 15Ω = 1/3.
  • Step 6: Calculate the voltage: V_th = 10V * (1/3) = 3.33V.
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