如圖所示之電路,假設電晶體操作在順向主動區, mA, mV,, pF, pF,忽略爾利(Early)與所有其他電容效應,求相關於輸出端之 3 dB 頻率為何?

A28.4 MHz
B38.4 MHz
C48.4 MHz
D58.4 MHz正確答案
答案與詳解

正確答案。由圖可見輸出端有10kΩ與1kΩ並聯,R_out = 10k‖1k ≈ 909Ω。輸出端等效電容C_out = Cμ(1 + 1/|Av|)修正後約為3pF(輸出端米勒項)加上其餘效應。詳細計算:gm = IC/VT = 0.838m/26m = 32.2 mA/V,rπ = β/gm = 100/32.2m ≈ 3.1kΩ。電壓增益|Av| = gm·R_out = 32.2m×909 ≈ 29.3,輸出端米勒電容 C_out_miller = Cμ(1 + 1/|Av|) ≈ 3pF×(1+1/29.3) ≈ 3.1pF。但對輸出端3dB而言,主要電容為Cμ本身在輸出側,C_out = Cμ = 3pF。f_H = 1/(2π·R_out·C_out) = 1/(2π×909×3×10^-12) ≈ 58.4 MHz。
