=66.= For measurements of radio-activity with an electrometer, a steady
source of E.M.F. of at least 300 volts is necessary. This is best
obtained by a battery of small cells simply made by immersing strips of
lead in dilute sulphuric acid, or by a battery of small accumulators of
the usual construction. Small accumulators of capacity about one-half
ampere-hour can now be obtained at a moderate price, and are more
constant and require less attention than simple lead cells.
In order to measure currents over a wide range, a graduated series of
capacities is required. The capacity of an electrometer and testing
apparatus is usually about 50 electrostatic units or ·000056
microfarads. Subdivided condensers of mica are constructed in which
capacities varying from ·001 to ·2 microfarads are provided. With such a
condenser, another extra capacity is required to bridge over the gap
between the capacity of the electrometer and the lowest capacity of the
condenser. This capacity of value about 200 electrostatic units can
readily be made by using parallel plates or still better concentric
cylinders. With this series of capacities, currents may be measured
between 3 × 10⁻¹⁴ and 3 × 10⁻⁸ amperes—a range of over one million.
Still larger currents can be measured if the sensibility of the
electrometer is reduced, or if larger capacities are available.
In a room devoted to electrometer measurements of radio-activity, it is
desirable to have no radio-active matter present except that to be
tested. The room should also be as free from dust as possible. The
presence of a large quantity of dust in the air (see section 31) is a
very disturbing factor in all radio-active measurements. A larger E.M.F.
is required to produce saturation on account of the diffusion of the
ions to the dust particles. The presence of dust in the air also leads
to uncertainty in the distribution of excited activity in an electric
field (see section 181).
=67. Measurement of Current.= In order to determine the current in the
electrometer circuit by measuring the rate of movement of the needle, it
is necessary to know both the capacity of the circuit and the
sensibility of the electrometer.
Let _C_ = capacity of electrometer and its connections in E.S.
units,
_d_ = number of divisions of the scale passed over per second,
_D_ = sensibility of the electrometer measured in scale
divisions
for 1 volt P.D. between the quadrants.
The current _i_ is given by the product of the capacity of the system
and the rate of rise of potential.
Thus
_Cd_
_i_ = ----- E.S. units,
300_D_
_Cd_
= ----------- amperes.
9 × 10¹¹ _D_
Suppose, for example,
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