What is the Thevenin equivalent voltage (Vth) across terminals A and B in a circ
Practice Questions
Q1
What is the Thevenin equivalent voltage (Vth) across terminals A and B in a circuit with a 10V source and a 2Ω resistor in series with a 4Ω resistor?
10V
7.5V
5V
2.5V
Questions & Step-by-Step Solutions
What is the Thevenin equivalent voltage (Vth) across terminals A and B in a circuit with a 10V source and a 2Ω resistor in series with a 4Ω resistor?
Step 1: Identify the components in the circuit. We have a 10V voltage source, a 2Ω resistor, and a 4Ω resistor in series.
Step 2: Understand that we need to find the voltage across terminals A and B, which is the voltage across the 4Ω resistor.
Step 3: Use the voltage division formula to find the voltage across the 4Ω resistor. The formula is Vth = Vsource * (R2 / (R1 + R2)), where R1 is the 2Ω resistor and R2 is the 4Ω resistor.
Step 4: Substitute the values into the formula: Vth = 10V * (4Ω / (2Ω + 4Ω)).
Step 5: Calculate the total resistance in the denominator: 2Ω + 4Ω = 6Ω.
Step 6: Now substitute this back into the equation: Vth = 10V * (4Ω / 6Ω).
