Question

For the Circuit in Figure 2, consider the 40Ω resistor to be the load, Rₗ. Determine the Thevenin voltage, Vₜₕ, seen by the 40Ω load.

(a) Vₜₕ=4.5 V
b) Vₜₕ=9 V
c) Vₜₕ=12.3 V
d) Vₜₕ=7.2 V
e) None of the above

Answer 1

To determine the Thevenin voltage for the circuit, we first find the equivalent resistance and total current. Then, we calculate the Thevenin voltage by multiplying the total current by the load resistance. The correct Thevenin voltage for the given circuit is 9 V.

Step-by-step explanation:

To determine the Thevenin voltage, we need to find the equivalent resistance of the circuit. In this case, we can combine the 3Ω and 4Ω resistors in parallel to get a combined resistance of 12/7Ω. Next, we need to find the current flowing through the circuit. Using Ohm's Law, we can calculate the total current by dividing the Thevenin voltage by the equivalent resistance (V/I = 3V/(12/7Ω)).

Now, we can find the Thevenin voltage by multiplying the total current by the 40Ω load resistance (Vₜₕ = I x Rₗ). Once we have the Thevenin voltage, we can match it to the given answer choices to determine the correct option.

After performing the calculations, the Thevenin voltage seen by the 40Ω load is 9 V, so the correct answer is (b) Vₜₕ = 9 V.