What is the Thevenin equivalent voltage if the circuit has a 20V source and two
Practice Questions
Q1
What is the Thevenin equivalent voltage if the circuit has a 20V source and two resistors (5Ω and 10Ω) in series?
20V
13.33V
10V
6.67V
Questions & Step-by-Step Solutions
What is the Thevenin equivalent voltage if the circuit has a 20V source and two resistors (5Ω and 10Ω) in series?
Step 1: Identify the components in the circuit. We have a 20V voltage source and two resistors: 5Ω and 10Ω in series.
Step 2: Understand that in a series circuit, the total resistance is the sum of the individual resistances. Calculate the total resistance: 5Ω + 10Ω = 15Ω.
Step 3: Use the voltage division rule to find the Thevenin equivalent voltage (Vth). The formula is Vth = Vsource * (R2 / (R1 + R2)), where R1 is the first resistor (5Ω) and R2 is the second resistor (10Ω).
Step 4: Substitute the values into the formula: Vth = 20V * (10Ω / 15Ω).
Step 5: Simplify the fraction: 10Ω / 15Ω = 2/3.
Step 6: Multiply 20V by 2/3 to find Vth: Vth = 20V * (2/3) = 13.33V.
