One solution to this measurement problem is to utilize an active (energy-supplied) circuit called a potentiometer. The key operating condition for the use of the potentiometer is zero current taken from the circuit being measured. A simple potentiometer circuit is illustrated in Fig. 4-2 which shows a relatively high-resistance wire connected in series with a voltage source E. A steady current in this wire produces a uniform voltage drop along its length. The voltage drop between the movable contacts X and Y is directly proportional to the length of the wire between points X and Y. The voltage drop across a unit length of the resistance wire depends on the value of the circuit current which can be changed by varying the rheostat R.
We can calibrate the potentiometer so that it becomes a direct-reading instrument. First, we adjust the current through the resistance wire so that the voltage drop becomes proportional to the length of the wire or numerically equal to a scale reading of the potentiometer. Next, we connect a standard cell and a galvanometer to terminals X and Y so that the voltage of the standard cell opposes that of the working voltage. E as shown in Fig. 4-3.
The span from X to Y is adjusted to produce a voltage drop very nearly equal to the terminal voltage of the standard cell. The galvanometer G is then switched into the circuit in series with a protective resistor, and the rheostat is adjusted as needed to obtain a null indication on the galvanometer. A final adjustment is made by closing a second switch to increase sensitivity and readjusting for a null reading. This second switch is shown in Fig. 4-3. With the potentiometer calibrated. The standard cell is switched out of the measuring circuit. The potentiometer can now be used to measure the unknown emf or voltage drop without introducing any circuit loading.
The slide-wire potentiometer shown in Fig. 4-4 has a slide-wire with a total length of 200cm and a resistance of 200Ω. The voltage of the standard cell equals 1.356V and is used as a voltage reference. In the calibrate or standardize position, the sliding contact is set at the 135.6-cm mark on the slide-wire scale. The rheostat R is adjusted to provide a magnitude of slide-wire current that will cause no deflection of the galvanometer when the sensitivity switch contacts are closed. In this balance or null condition. The voltage drop across the 135.6-cm portion of the slide wire is exactly equal to 1.356 V. the calibrating voltage of the standard cell. Since this portion of the slide-wire represents a resistance of 135.5Ω the slide-wire current has been adjusted to 10mA. The voltage at any point along the slide-wire is proportional to the length of the slide-wire and is obtained by converting length into a corresponding voltage. Once the potentiometer is calibrated. The working current should not be varied.
Once calibrated the potentiometer can be used to measure any small dc voltage of approximately 2 V or less. When the potentiometer is set to its operate or EMF position, the sliding contact is moved the resistance wire until the galvanometer shows no deflection as the sensitivity switch is closed. At this null condition, the unknown voltage Vx equals the voltage drop E across the X – Y portion of the slide-wire. Therefore the slide-wire scale reading can be converted directly to its corresponding voltage value.
EXAMPLE 4-1
The basic slide-wire potentiometer shown in Fig. 4-4 has a working battery of 3 V. The slide-wire has a resistance of 300 Ω and a length of 200 cm. A 200-cm scale placed alongside the slide-wire has 1-mm scale divisions. and interpolation can be made to one-half of a division. The instrument is standardized against a voltage reference source of 1.019 V with the slider set at the 101.9-cm mark on the scale. Calculate the following.
(a) The working current.
(b) The resistance setting of the rheostat.
(c) The measurement range.
(d) The resolution expressed in mV.
(a) The total 200-cm length of the resistance wire represents 300Ω. Therefore the resistance of 101.9cm is
The slide-wire potentiometer just described is useful but somewhat impractical for industrial applications. Modern laboratory-type potentiometers use a calibrated circular slide-wire of one or more turns along with dial resistors. This reduces the size of the instrument significantly. Figure 4-5 shows a laboratory-type potentiometer which uses 15 precision resistors and a single-turn circular slide-wire. The total resistance of the slide-wire is 10 Ω and dial resistors have a total resistance of 150Ω. The slide-wire has a scale with 200 divisions. and interpolation to one-fifth of a division is entirely feasible. The working current is maintained at 10mA. Therefore each step of the dial switch corresponds to a voltage step of 0.1V and each division of the slide-wire scale corresponds to 0.0005V By interpolation readings can be estimated to approximately 0.0001V.
EXAMPLE 4-2
The slide-wire potentiometer of Fig. 4-5 is equipped with a 10-turn slide-wire with a total resistance of 10Ω and a 15-step dial switch with 10-Ω per step resistance. The circular slide-wire scale has 100 divisions and interpolation can be made to one-fifth of a division. If the magnitude of the working voltage is 3 V calculate the following.
(a) The measurement range.
(b) The resolution expressed in uV.
(c) The working current.
(d) The resistance of the rheostat.
The development of solid-state devices such as constant-voltage (zener diode) and constant-current or regulating diodes makes possible the design of standard voltage sources with a wide range of voltages. Thus measurements have become more convenient. A zener diode is a diode to which the source voltage is applied in the reverse-biased mode. As the bias is increased in amplitude a level is reached at which voltage remains essentially constant over a large of bias current A representative characteristic curve is shown in Fig. 4-6. A typical circuit for such a constant-voltage source is shown in Fig. 4-7
첫댓글 만약 이걸 손으로 다 타자치신거라면 정말 수고하셧습니다만, 이런걸 그냥 번역해줄사람은 지구상에 별로 없을듯합니다. 영어 한글 둘다 네이티브라도 적어도 30분은 걸리겟군요. (근데 직접치신것 같진 않네요.)
음...FIG는 없네여..그림 표시는 있는데 그림이 없네 ㅎㅎㅎ어렵네...전기인가? 전자인가???제너다이오드도 나오네..-0- 내 레포트라면 열심히 해보겠는데...쩝..
평소에 필기한걸 열심히 보시고 이 책 제목이 뭔지 모르겠지만 번역본 찾아봐요. 대체 이걸 어떻게 다 해석하라는건지-_-;;;
전압측정기 기기의 메뉴얼, 데이터시트 같은데, 아니면 전자기학 원서교제일른지, 전공자 중에 영어 좀 되는 사람한테 물어보심이 빠를거 같은데요. 졸업하구 회사가서 처런거 물어보묜 보이지 않는 개갈굼 당함.