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: Understand the Y-parameters.
The Y-parameters are defined by the following equations: \[ I_1 = Y_{11} V_1 + Y_{12} V_2 \] \[ I_2 = Y_{21} V_1 + Y_{22} V_2 \] We can solve for \( Y_{11} \) and \( Y_{12} \) using the given circuit values.
Step 2: Apply the given circuit parameters.
After solving for the Y-parameters using the node analysis method, we find: \[ Y_{11} = 0.3 \, \text{S}, \quad Y_{12} = -0.1 \, \text{S} \]
Final Answer: \[ \boxed{(1) \, Y_{11} = 0.3 \, \text{S}, Y_{12} = -0.1 \, \text{S}} \]