Question

For the network below, calculate the equivalent Thevenin's voltage Eₜₕ at the terminals a-b, if R1 = 6 Ω, R2 = 4 Ω, R3 = 22 Ω, E = 28 V, and I = 3

Answer 1

We cannot calculate the Thevenin's equivalent voltage without the circuit diagram. It is essential to see how the components are connected to determine Eᵗₛ.

Step-by-step explanation:

Unfortunately, there seems to be a mistake in the student's question, as the diagram mentioned is not provided, making it impossible to calculate the Thevenin's equivalent voltage (Eᵗₛ) at terminals a-b. Without the diagram, we cannot determine which resistors or sources are in series or parallel or where the terminals a-b are relative to the other components.

Generally, to calculate the Thevenin's equivalent voltage, you'd need to:

• 
  
• Remove the load resistance if there is one between terminals a-b.
• 
  
• Calculate the open-circuit voltage across terminals a-b, which is the Thevenin's equivalent voltage (Eᵗₛ).

Since we cannot proceed with the calculation without the circuit diagram, I would advise the student to provide the complete information or check if there was an attachment that was not included in the question.

Answer 2

In this case, the equivalent Thevenin's voltage (Eₜₕ) at the terminals a-b is 30V.

Step-by-step explanation:

To calculate the equivalent Thevenin's voltage (Eₜₕ) at the terminals a-b in the given network, follow these steps:

1. Find the equivalent resistance (Req) by calculating the parallel combination of R₁ and R₂:

• - Use the formula 1/Req = 1/R₁ + 1/R₂
• - Substitute the values: 1/Req = 1/6 + 1/4
• - Solve for Req: 1/Req = 2/12 + 3/12 = 5/12
• - Invert both sides to find Req: Req = 12/5 = 2.4 Ω

2. Calculate the open circuit voltage (Eth) by considering the circuit without the load (R₃):

• - Since there is no current flowing through R₃, the voltage drop across it is 0V.
• - Therefore, the voltage across terminals a-b is the same as the voltage across R₁ and R₂.
• - Use Ohm's Law: V = I * R
• - Substitute the values: V = 3A * (6Ω + 4Ω) = 30V

Therefore, the equivalent Thevenin's voltage (Eₜₕ) at the terminals a-b is Eth = 30V.

This means that if you were to connect a load resistor (R₃) across the terminals a-b, the voltage across the load would be 30V.