Origin of the Miller Effect · (C2 + W2d2) c2 d2 3 w (bc + aa2d) If the input impedance is...
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Origin of the Miller Effect scanned by Kent H. Lundberg Thus the apparent input capacity can become a number of times greater than the actual capacities between the tube electrodes ... — page 374 The effective input impedance of an amplifier depends on the impedance connected from input to output of the amplifier. The apparent scaling of this impedance often dominates the input impedance and frequency response of the amplifier. This effect, now commonly known as the Miller Effect, was first reported by John Miller in the following paper. Consider the following amplifier with voltage gain -A, with an impedance Z connected from input to output. Z V i V o -A I i Calculating the input current I i = V i - V o Z = V i 1+ A Z ¶ The Thevenin input impedance is Z in = V i I i = Z 1+ A Thus a resistor or inductor connected from input to output will look a factor of (1 + A) times smaller (as seen from the input terminal), and a capacitor will look (1 + A) times larger. References [1] John M. Miller. Dependence of the input impedance of a three-electrode vacuum tube upon the load in the plate circuit. Scientific Papers of the Bureau of Standards, 15(351):367–385, 1920. 1
Origin of the Miller Effect · (C2 + W2d2) c2 d2 3 w (bc + aa2d) If the input impedance is represented by an apparent resistance in series with an apparent capacity cc, the values
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