110年 - 110台灣聯合大學系統_碩士班招生考試_電機類:電路學#104515

1. (15%) The circuit below is at steady state before switching. Determine the inductor current i₂(t) for t ＞ 0.

2. (15%) Determine the inductor current i_L(t) for t ＞0, using Laplace transform:

3. (10%) Consider the given circuit. The operational amplifier has an open loop voltage gain of 10 ⁵VN, input impedance of 1 MΩ, and output impedance of 10 Ω. Find the current it when Vs is 1 V.

4. (10%) Find the Thevenin and Norton equivalents with respect to the terminals a and b for the given circuit.

5. (10%) A linear network has a short-circuit current of 20 A and an open-circuit voltage of 12 V. A 2-Ω resistive load is connected to this network. Determine the power dissipation on the load.

(3%) (a) Draw a buck-boost converter topology.

(7%) (b) When operating with PWM control and in continuous conduction mode, determine its input to output voltage transfer ratio ( Vo/Vi) in terms of the duty ratio D of the active switch.

(5%) (a) A buck converter with coupled inductors, with a duty ratio D and in continuous conduction mode is shown in the following figure. Determine its voltage stress imposed on switch S₁ and diode D₁.

(5%) (b) Determine its input to output voltage transfer ratio (Vo/Vi) in terms of the duty ratio D.

a. Determine the total current and the plant power factor.(5%)

b. Please design a compensation circuit to achieve the unity power factor operation. Show your solution and show its circuit diagram. (5%)

9. (10%) Find the steady state of output voltage vo(t) in the given circuit using the superposition technique.

110年 - 110台灣聯合大學系統_碩士班招生考試_電機類:電路學#104515

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