Definition
An electrometer is an electrical instrument for measuring electric charge or electrical potential difference.
Basics
See also Electroscope
An electrometer is an electrical instrument for measuring electric charge or electrical potential difference.
There are many different types, ranging from historical hand-made
mechanical instruments to high-precision electronic devices. Modern
electrometers based on vacuum tube or solid state technology can be used to make voltage and charge measurements with very low leakage currents, down to 1 femtoampere. A simpler but related instrument, the electroscope, works on similar principles but only indicates the relative magnitudes of voltages or charges.
Gold-leaf electroscope
The gold-leaf electroscope was one of the first sensitive
instruments used to indicate electric charge. It is still used for
science demonstrations but has been superseded in most applications by
electronic measuring instruments. The instrument consists of two thin
leaves of gold foil suspended from an electrode. When the electrode is charged by induction or by contact, the leaves acquire similar electric charges and repel each other due to the Coulomb force.
Their separation is a direct indication of the net charge stored on
them. The leaves may be enclosed in a glass envelope to protect them
from draughts, and the envelope may be evacuated to minimize charge leakage. A further cause of charge leakage is ionizing radiation, so to prevent this, the electrometer must be surrounded by lead
shielding. It should be noted that this type of electroscope usually
acts as an indicator and not a measuring device, although it can be
calibrated. The Braun electroscope replaced the gold-leaf electroscope for more accurate measurements.
The most common radiation measurement device, and widely used in the
nuclear industry, the Quartz Fibre Electrometer (or QFE) personal dosimeter, is actually a ruggedized, calibrated electroscope. It uses the leakage effect mentioned above to detect ionizing radiation.
The instrument was developed in the 1700s by several researchers, among them Abraham Bennet and Alessandro Volta.
Modern electrometers
In modern parlance, an electrometer is a highly sensitive electronic voltmeter whose input impedance is so high that the current flowing into it can be considered, for practical purposes, to be zero. They are of use in nuclear physics as they are able to measure the tiny charges left in matter by the passage of ionizing radiation.
The most common use for modern electrometers is probably the
measurement of radiation with ionization chambers, in instruments such
as geiger counters.
Vibrating reed electrometers
Vibrating reed electrometers use a variable capacitor
formed between a moving electrode (in the form of a vibrating reed) and
a fixed input electrode. As the distance between the two electrodes
varied, the capacitance also varies and electric charge is forced in
and out of the capacitor. The ac signal produced by the flow of this charge is amplified and used as an analogue for the dc
voltage applied to the capacitor. The input resistance of the
electrometer is determined solely by the leakage resistance of the
capacitor (although its ac input impedance is clearly less than infinity).
For convenience of use, the vibrating reed assembly is often
attached by a cable to the rest of the electrometer. This allows for a
relatively small unit to be located near the charge to be measured
while the much larger reed-driver and amplifier unit can be located
wherever it is convenient for the operator.
Valve electrometers
Valve type electrometers use an unbiased vacuum tube with a very high gain (transconductance)
and input resistance. The input current is allowed to flow into the
high impedance grid, and the voltage so generated is vastly amplified
in the anode (plate) circuit. The best examples of these valves have leakage currents as low as a few femtoamperes (10-15
amperes). This type of valve can be ruined by handling with ungloved
hands as the salts left on the glass envelope can provide leakage paths
for these tiny currents.
Solid-state electrometers
The most modern electrometers consist of a solid state amplifier circuit using FETs,
connections for external measurement devices, and also possibly a
display, data-logging connections, and/or a high-voltage supply. The
amplifier magnifies small currents so that they are more easily
measured. The external connections are usually of a co-axial or
tri-axial design, and allow attachment of diodes or ionization chambers for radiation
measurement. The display or data-logging connections allow the user to
see the data or record it for later analysis. The high-voltage supply
is an integral power supply which is used to supply a voltage to the
ionization chamber or diode.
Solid-state electrometers are often multipurpose devices that can
measure voltage, charge, resistance and current. They measure voltage
by means of "voltage balancing", in which the input voltage is compared
with an internal reference voltage source using an electronic circuit
with a very high input impedance (of the order of 1014
ohms). A similar circuit modified to act as a current-to-voltage
converter enables the instrument to measure tiny currents of the order
of one femtoampere. Combined with an internal voltage source, the
current-measuring mode can be adapted to measure very high resistances, of the order of 1017 ohms. Finally, by calculation from the known capacitance of the electrometer's input terminal, the instrument can measure very small electric charges, down to a small fraction of a picocoulomb, on the terminal.
Experiments with an electroscope
- Touch the terminal with a charged conductor. Electrons flow into or
out of the electroscope until its potential equals that of the
conductor. The net surplus or deficit of electrons on the leaves causes
them to repel each other. The charge that transfers, and therefore the
deflection, are functions of the original potential difference between
the conductor and the uncharged electroscope.
- Place an isolated, charged conductor in contact with the terminal.
The proportion of the conductor's charge that ends up on the terminal
depends on their relative capacitances. This charge remains on the
electroscope when you take the conductor away. The electroscope
indicates this charge.
- Bring a charged insulator near to the terminal but don't allow any
charge to transfer between them. In this case, the deflection indicates
the net charge on the electrons that have been temporarily pushed
towards or away from the leaves. This charge is related to the charge
density on the part of the insulator near to the terminal, and the
relative shapes and positions of the two. What the electroscope is
measuring in this case is quite vague, because there is no sharp
boundary between the electron-rich and electron-depleted regions of the
electroscope.
- Place a charged insulator on or near the terminal, ground the
terminal and then withdraw the insulator. This leaves the electroscope
with a net charge. The electrons redistribute themselves over the
terminal and the leaves, causing the leaves to repel each other. The
deflection is monotonically related to the net charge left behind on
the electroscope, in a similar way to the previous case.
Topics of Interest
An E-meter is an electronic device used during Dianetics and Scientology auditing. The device is a variation of a Wheatstone bridge, which measures electrical resistance. It is formally known as the Hubbard Electrometer, for the Church's founder, L. Ron Hubbard. Critics point to a lack of scientific basis for the E-meter and associated practices.
The Church of Scientology restricts the use of the E-meter to trained professionals, treating it as "a religious artifact used to measure the state of electrical characteristics of the 'static field' surrounding the body". The meter is believed to reflect or indicate whether or not a person has been relieved from spiritual impediment of past experiences. It can only be used by Scientology ministers or ministers-in-training and does not diagnose or cure anything. The E-meters used by the Church of Scientology are manufactured at the Church of Scientology's Golden Era Productions facility.
The device's primary component is an electrical measuring instrument called a Wheatstone bridge, which measures the subject's galvanic skin response. By inducing a tiny electrical current through the body, the device measures changes in the electrical resistance of the human body. According to Scientology doctrine, the resistance corresponds to the "mental mass and energy" of the subject's mind, which change when the subject thinks of particular mental images (engrams). The device also has such sensitivity that Hubbard claimed to be able to measure whether or not fruits can experience pain, claiming in 1968 that tomatoes "scream when sliced."
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