Electrostatics II |
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The Van de Graaff generator (Fig.1) makes use of the possibility
of spraying an electric charge from sharp points of a conductor.
The charge is applied to a belt conveyor made of an insulating
material, which conveys the charge into the interior of a
spherical conductor of large radius, where the charge is collected
by a comb of pointed electrodes. More and more electricity
is collected in this way from the traveling belt and is accumulated
at the surface of the large sphere, which thus acquires a
very high charge.
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Since ancient history it is known that some materials attract
light particles after rubbing. Electrostatic phenomena arise
from the forces that electric charges carry out on each other.
Such forces are described by Coulomb's law. Even though electrostatically
induced forces seem to be rather weak, the electrostatic force
between e.g., an electron and a proton, that together make
up a hydrogen atom, is about 40 orders of magnitute stronger
than the gravitational force acting between them.
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The power output from this electrostatic generator is not
very large, for the charge accumulated by this method cannot
sustain a current of any significant magnitude. On the other
hand, very high voltages can be obtained of the order of some
millions of volts. The voltage can be further increased by
installing the generator in an enclosed space in which the
air pressure is increased above the normal atmospheric pressure,
so that the spark-over voltage to earthed components is increased.
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The amount of electric charge that can be stored up in a body
is called the capacity of that body. A condenser or capacitor
is a device specifically intended to store up an electric
charge. Its capacity is determined mainly by the action of
electrostatic induction. It has essentially of two conducting
surfaces which are insulated from each other (Fig.2a). In
the case of a variable condenser the area (F) of these surfaces
and/or their distance apart (d1, d2) can be varied..
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Obviously, the quantity of electricity that can be stored
up by induction will be greater according as F is larger and
the gap d between the condenser plates is smaller. The capacity
of a plate condenser is therefore proportional to F and inversely
proportional to d. High capacity condensers are composed of
plates consisting of rolled-up thin metal foils separated
by sheets of paper as the insulating medium. The capacity
of a condenser may be compared with the cubic capacity of
a tank, which depends on the area of the bottom and on the
height (Fig.2b).
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If
a small ball pendulum is attached to a conductor and the latter
is charged with electricity, the pendulum will acquire a deflection
due to electrical repulsion which is proportional to the magnitude
of the charge (Fig.3a). there is an analogy with the pressure
of water in a tank, which pressure can be measured by means
of a mercury manometer or pressure gauge (Fig.3b). |
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The pressure of the water corresponds to the electric potential
or voltage (the unit of measurement being the volt.) The voltage
(U) is associated with the electric charge Q and the capacity
C of a conductor (measured in farads) by the following relation:
U = Q / C. In the space which surrounds an electrically charged
body an electric potential occurs which is proportional to
the charge Q and inversely proportional to the distance r
from the center of the body (U = Q / r). |
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The electrical condition produced in a space by the presence
of electrically charged bodies is called an electric field
(Fig.4) points which all have the same potential (voltage)
are located on equipotential surfaces. Forces always act in
the direction of the potential gradient. The electric force
which is exerted upon a charge of unit magnitude in an electric
field is called the field strength. It is always directed
perpendicularly to the equipotential surfaces. |
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The lines of force in an electric field represent the direction
of the force at any point on their length. The properties
of an electric field can be described in terms of equipotential
surfaces and lines of force. The lines of force are conceived
as emerging from positive charges and disappearing into negative
charges.
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