110年 - 110 國立中山大學_碩士班招生考試_電機系(丁組)：電路學#104262

試卷資訊

選擇題 (0)

申論題 (10)

1.(10pt) A capacitor 100uF with initial voltage 100V is discharged to 50V by a resistor 10Ω. Determine the discharged time and energy consumption on the resistor.

(1) RMS value of the current. (5pt)

(2) Power factor of the load. (5pt)

3. (10pt) A 3-phase 3-wire balanced source 220V system supplies a three-phase balanced load 5kVA at 0.866 power factor lagging. Find line current and load impedance.

4.. (10pt) For figure 1, determine input impedance and the output voltage.

5. (10pt) Determine the transfer function and corner frequency in the figure 2.

6. (10pt) For the s-domain circuit in figure3, determine the transfer function and vo (t) if vs (t)=cos2t.

7. (10pt) Figure 4 is a resonant circuit with Vg=10V, C=1uF, L=luH. Initial capacitor voltage is 10V. Find initial inductor current (positive value) to result in zero minimum capacitor voltage.

8. (10pt)A buck converter is with the following parameters: Vin=20V, Vout=10V, switching frequency 10kHz, output power 100W. Determine the minimum inductance for the converter operated in CCM and current ripple on the inductor.

9. (20pt)Find state-space representation of the circuit in Figure 5 and determine its transfer function. Take R=1Ω, C=0.5F, L=0.5H.