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Another common application of semiconductor diodes, the peak detector, is very similar in appearance to the half-wave recti er with capacitive ltering described in an earlier section One of its more classic applications is in the demodulation of

The McGraw Hill Companies, 2001

amplitude-modulated (AM) signals We study this circuit in the following, Focus on Measurements box

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In 4, a capacitive displacement transducer was introduced in Focus on Measurements: Capacitive Displacement Transducer and Microphone It took the form of a parallel-plate capacitor composed of a xed plate and a movable plate The capacitance of this variable capacitor was shown to be a function of displacement, that is, it was shown that a movable-plate capacitor can serve as a linear transducer Recall the expression derived in 4 C= 8854 10 3 A x

tunnel, emerging close to a membrane-binding site ( g.11.24).The tunnel can hold a peptide length of about forty amino acids. Note that although every ribosome has a membrane-binding site, not all active ribosomes are bound to membranes.

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where C is the capacitance in pF, A is the area of the plates in mm2 , and x is the (variable) distance in mm If the capacitor is placed in an AC circuit, its impedance will be determined by the expression ZC = so that ZC = x j 8854 10 3 A 1 j C

(36)

Thus, at a xed frequency , the impedance of the capacitor will vary linearly with displacement This property may be exploited in the bridge circuit of Figure 865, where a differential-pressure transducer is shown made of two movable-plate capacitors If the capacitance of one of these capacitors increases as a consequence of a pressure difference across the transducer, the capacitance of the other must decrease by a corresponding amount, at least for small displacements (you may wish to refer to Example 44 for a picture of this transducer) The bridge is excited by a sinusoidal source

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Ribosomes are either free in the cytoplasm or associated with membranes,depending on the type of protein being synthesized. Membrane-bound ribosomes, indistinguishable from free ribosomes, synthesize proteins that enter membranes.These proteins either become a part of the membrane or, in eukaryotes, either pass into membranebound organelles (e.g., the Golgi apparatus, mitochondria, chloroplasts, vacuoles) or are transported outside

d R1 + ~ a b vout + vS(t) R2 Cbc(x) c Cdb(x)

Gunter Blobel (1936 ).

Using phasor notation, in 4 we showed that the output voltage of the bridge circuit is given by x Vout (j ) = VS (j ) 2d

(Courtesy of Dr. Gunter Blobel, Dept. of Cell Biology, Rockefeller University.)

Substituting for sin b from equation (34) d = R putting the value of X d = R R 1 + f 2 R 2 2 ( f R ) sin where d = chip thickness with f/R<<<1 we can write d = R R 1 2 ( f R ) sin (38) (37)

provided that R1 = R2 Thus, the output voltage will vary as a scaled version of the input voltage in proportion to the displacement A typical vout (t) is displayed in Figure 866 for a 005-mm triangle diaphragm displacement, with d = 05 mm and VS a 50-Hz sinusoid with 1-V amplitude Clearly, although the output voltage is a function of the displacement, x, it is not in a convenient form, since the displacement is proportional to the amplitude of the sinusoidal peaks

Functional sites on the prokaryotic ribosome. The ribosome is synthesizing a protein involved in membrane passage. Note the position of the messenger RNA on the 30S subunit and the cleft, tunnel, and membrane-binding site on the 50S subunit. (From C. Bernabeu and J. A. Lake, Proceedings of

Thus, the frequency response of the lter is: Vo j CR (j ) = Vi 1 + j CR which can be expressed in magnitude-and-phase form by H (j ) = = or H (j ) = |H |ej H with H (j ) = CR 1 + ( CR)2

(625)

the The National Academy of Sciences; 79:3111 15, 1982. Reprinted by permission.)

Vo j CR = (j ) = Vi 1 + j CR CR 1 + ( CR)2 ej (90

This equation can be simplified by using Taylor s series Let ( f/R ) sin q = a By using Taylor s series, the term can be expanded as

1 + ( CR)2 ej arctan( CR/1)

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