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Basic Electrometer

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Basic Electrometer 012-07124B 9/99 Instruction Sheet $1.00 for the PASCO Model ES-9078 BASIC ELECTROMETER Introduction When replacing batteries, do not touch any The Model ES-9078 is a voltmeter used for direct of the components or wires in the integrated measurements of voltage and indirect measurements circuit panel; the components and of current and charge. Because of its high (“infinite”) wires are all static sensitive. impedance of 1014 ohms, it is especially suited for measuring charge in electrostatic experiments. It has a EQUIPMENT sensitivity nearly 1000 times that of a standard gold- Parts included: leaf electroscope, a center-zero meter that directly • Basic Electrometer (ES-9078) indicates charge polarity, and measures charges as • Associated Cables, four (4) low as 10-11 coulombs. Additional parts required: With these features, you’ll find that your electrostatics • Faraday Ice Pail (ES-9042A) demonstrations and labs are easier to perform and, • Proof Plane with quantitative data, are more informative. • Basic Variable Capacitor (ES-9079) The electrometer is powered by four AA-alkaline • Pasco Computer Interface (Model 750, 500 or batteries, easily replaced by opening the back casing 300) of the electrometer. © 1999 PASCO scientific Basic Electrometer 012-07124B Operation 2. Connect the test lead to the input connector of The controls on the front panel of the the electrometer. electrometer are explained in Figure 1. 3. Connect the ground post of the electrometer to Whether you’re using the electrometer to an earth ground. measure voltage, current, or charge, the 4. Push the power button ON. One of the range following procedure should be followed each switch LEDs will blink twice in quick time you turn on the electrometer. succession. More information on making accurate 5. To zero the meter, press the ZERO button. measurements is provided in the sections that You’re now ready to use the electrometer to follow. measure charge, current or voltage. Warning: 6. Set the range switch to the desired voltage range. The range setting refers to the voltage input 1. Never use the electrometer for required to produce a full-scale meter deflection measuring potentials more than 100 volts. (e.g., a setting of 30 means that a full scale meter 2. Never connect the electrometer to an deflection indicates a voltage of 30 volts). electrostatics generator, such as a Van de Graff generator or a Wimhurst machine. Important Points for General Operations: 3. Avoid touching the input leads until you have grounded yourself to an earth ground. 1. Between measurements, always press the A person walking across a rug on a cool Zero button to discharge all excess charge from dry day can easily acquire a potential of the electrometer. Shorting the test leads together several thousand volts. is insufficient. There may still be stray charges within the electrometer circuitry. Note that on meter display the most sensitive scale (3 volts), the meter may mechanical zero not return to exactly zero when the Zero button zero button, adjust screw is pressed. This is normal and will not affect the ground and (adjust with remove excess power off) accuracy of the reading. charges 2. DO NOT use the mechanical zero adjust screw select voltage range connect test to set the meter to zero, unless power is off. (3,10,30,100V) lead here 3. For good results, it is essential that the electrometer be connected to an earth ground (a output signal connect to to interface earth ground water pipe or the ground wire from a 120 VAC 100 V socket). Only an earth ground provides a sufficient drain for excess charges that may push to turn ON/OFF build up during an experiment. It is also helpful Figure 1. Electrometer panel controls if the experimenter is grounded. Just touch one Setup Procedure hand to a good earth ground just before, or during measurements. 1. Before turning on the electrometer, check that the meter reads zero. If not, turn the Mechanical Zero Adjust screw, located just below the meter face, until it does. 2 012-07124B Basic Electrometer Measuring Voltage the electrometer reading will generally remain The electrometer can be thought of as an relatively unchanged. This is because the total infinite impedance voltmeter. To show that the capacitance is only negligibly affected by the proof electrometer is like a voltmeter, connect the plane. This may not always be the case, however. leads to the battery, set the range (3, 10, 20, or 100 volts full scale), and read the voltage on the Any charge measurement with the electrometer is meter. indirect, based on the knowledge that the amount of charge on an object is proportional to the Measuring Charge potential difference. The readings of the Induction Charges electrometer will always be of volts, not of Under most conditions, the best way to measure coulombs. The polarity of the voltage, however, charge is by induction. Use a proof plane and a directly shows the type of charge being sampled. If Faraday ice pail, such as those included with you need quantitative rather than qualitative charge PASCO’s Demonstration Electrostatics System, and measurement, values for the charge can be shown in Figure 2. The proof plane is simply a computed according to the relationship Q = CV, small conductive disk mounted on an insulating where V is the voltage across a known capacitor of handle. To sample the charge distribution on a capacitance C. charged object, simply touch it with the proof The electrometer can be thought of as an infinite plane, then place the proof plane inside the inner impedance voltmeter in parallel with a capacitor, CE , cylinder of the ice pail, without touching the as shown in Figure 3. CE represents the internal cylinder. A charge of equal magnitude and sign is capacitance of the electrometer, plus the capacitance induced on the surface of the ice pail and can be of the leads and the capacitance of the Ice Pail, if read by the electrometer. By always using the being used. proof plane and the ice pail, the capacitance will be the same for all your measurements, and the charge on the proof plane will always be proportional to the Electrometer CE voltage reading of the electrometer. Voltmeter shield ice pail proof black plane clip electrometer Figure 3. Ideal Schematic of the Electrometer red When a charged object is placed across the clip electrometer leads (or in the ice pail), a voltage V displays on the meter. If the value CE is known, the value of the charge can be calculated as Q = C EV. insulator The capacitance of the electrometer alone is around 27 pF. However, if the sampled object adds significant capacitance, the situation becomes as Figure 2. Using a Faraday Ice Pail shown in Figure 4. Contact Charges Charges can also be measured by contact. If you touch the inner cylinder of the ice pail with a charged object, for example a charged proof plane, 3 Basic Electrometer 012-07124B connected across the leads of the electrometer, it is connected in parallel with the internal capacitance C C E ext of the electrometer, CE. The total capacitance Voltmeter Capacitance of object con- becomes C + CE. The known capacitor discharges nected to the across the electrometer and a voltage, V , is read. Electrometer E Since the total charge in the system is still just the Electrometer charge of the known capacitor, we know that Figure 4. Change in capacitance due to a charged object CV = C + CE VE. To accurately calculate the amount of charge, total 1. Obtain a low leakage capacitor (polypropylene, capacitance must be determined. In any CE + Cext or air dielectric) of known value C, around 30 case, for quantitative measurements of charge, you pF. need to have an accurate value for C (C >>C ) , E ext E 2. Charge the capacitor with a known voltage V, unless you are certain that the object you are measuring has a high enough capacitance to disregard CE. The capacitors in the PASCO RC CV–VE CE = Network (ES-9053), for example, are high enough VE that C need not be considered. This is not true, E not higher than 100 (the limit of the however, when using the parallel plate variable V capacitor (ES-9079). electrometer). 3. Remove the charged capacitor from the power The following process shows you how to measure an supply used to charge it, being careful not to experimental value of the capacitance of the ground it in any way, so as not to remove the electrometer, any cables connected to it, and the ice charge. pail. 4. Connect the charged capacitor across the Measuring the Capacitance of the Electrometer electrometer input leads. (Or across the pail and and Connectors shield of the ice pail, if you want to include its For all experiments, the electrometer can be thought of capacitance value). Note the voltage VE as a voltmeter connected in parallel with a indicated by the electrometer. capacitor, as shown in Figure 2. The capacitor CE 5. Calculate the total capacitance: represents the internal capacitance of the electrometer, plus the capacitance of the leads and Measuring Current the ice pail. The electrometer can be used for indirect current measurements. Use this procedure to measure a precise value of the capacitance provided by the electrometer and Connect the electrometer leads across a known all instruments connected to it. If you are interested resistance in the circuit and measure the voltage. in qualitative, rather than quantitative experiments, Use Ohm’s Law V = IR to determine the current. this procedure is not necessary. Due to the electrometer’s exceedingly high input impedance, the effect of the electrometer in the When a known capacitor C, is charged by a circuit will be negligible in most circuits.
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