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What is the Thevenin equivalent voltage across a load resistor if the circuit ha

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Question: What is the Thevenin equivalent voltage across a load resistor if the circuit has a 15V source and two resistors (5Ω and 10Ω) in series?

Options:

  1. 5V
  2. 10V
  3. 15V
  4. 20V

Correct Answer: 10V

Solution: 

Vth = Vsource * (Rload / (Rseries + Rload)); assuming Rload = 10Ω, Vth = 15V * (10Ω / (5Ω + 10Ω)) = 10V.

What is the Thevenin equivalent voltage across a load resistor if the circuit ha

Practice Questions

Q1
What is the Thevenin equivalent voltage across a load resistor if the circuit has a 15V source and two resistors (5Ω and 10Ω) in series?
  1. 5V
  2. 10V
  3. 15V
  4. 20V

Questions & Step-by-Step Solutions

What is the Thevenin equivalent voltage across a load resistor if the circuit has a 15V source and two resistors (5Ω and 10Ω) in series?
  • Step 1: Identify the components in the circuit. We have a voltage source of 15V and two resistors: R1 = 5Ω and R2 = 10Ω in series.
  • Step 2: Understand that we want to find the Thevenin equivalent voltage (Vth) across a load resistor (Rload). We will assume Rload = 10Ω for this calculation.
  • Step 3: Calculate the total resistance in the series circuit. Rseries = R1 + R2 = 5Ω + 10Ω = 15Ω.
  • Step 4: Use the formula for Thevenin voltage: Vth = Vsource * (Rload / (Rseries + Rload)).
  • Step 5: Substitute the values into the formula: Vth = 15V * (10Ω / (15Ω)).
  • Step 6: Simplify the fraction: 10Ω / 15Ω = 2/3.
  • Step 7: Calculate Vth: Vth = 15V * (2/3) = 10V.
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