Question

Determine the Y11 and Y12 parameters for the circuit given below:

• A. \( Y_{11} = 0.3 \, \text{S}, Y_{12} = -0.1 \, \text{S} \)
• B. \( Y_{11} = 0.3 \, \text{S}, Y_{12} = 0.3 \, \text{S} \)
• C. \( Y_{11} = -0.1 \, \text{S}, Y_{12} = 0.3 \, \text{S} \)
• D. \( Y_{11} = -0.3 \, \text{S}, Y_{12} = 1.0 \, \text{S} \)

Hint:

Y-parameters are useful for analyzing two-port networks and are defined in terms of the relationship between currents and voltages at the ports.

Answer 1

The Correct Option is A

Step 1: Y-parameter Equations.
The Y-parameters are described by: \[I_1 = Y_{11} V_1 + Y_{12} V_2\] \[I_2 = Y_{21} V_1 + Y_{22} V_2\] We can determine \( Y_{11} \) and \( Y_{12} \) from the circuit values.
Step 2: Calculated Y-parameters.
Using node analysis, the Y-parameters are: \[Y_{11} = 0.3 \, \text{S}, \quad Y_{12} = -0.1 \, \text{S}\]
Final Answer: \[\boxed{(1) \, Y_{11} = 0.3 \, \text{S}, Y_{12} = -0.1 \, \text{S}}\]