Question 2.22: Dependent Source Determine the voltage, VA, across the 50-Ω ...

Dependent Source

Determine the voltage, V_A, across the 50-Ω resistor in Figure 2.58.

2.22
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V_2 is the voltage that corresponds to the current, I_2, which is also the voltage across both 20-Ω and 40-Ω resistors. Then, using the amounts from Figure 2.58, we can develop the equation:

I_2=\frac{5}{40+20}=0.0833  A

The voltage across 40-Ω resistor, V, is:

V=40I_2=3.33  V

Then, the current, I_x, is:

I_x = 0.5 V = 1.667 A

The voltage, V_A, can then be calculated as:

V_A = 50I_x = 83.33  V

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