A simple relationship determining the dielectric constant of a material inserted in a parallel-plate capacitor is formulated from Gauss's law for a uniform electric field and the continuity condition of electric flux at the boundary of the material. The relationship suggests that the dielectric constant can be determined from the dependence of the charge stored on the capacitor on the thicknesses of the material and the air layer between the plates. A uniform field is created by applying an ac voltage to the plates, which includes a guard ring. The stored charge is estimated by using an oscilloscope to measure the voltage across a resistor inserted between the power supply and the capacitor. The results of the measurement are given for planar materials such as soda-lime glass, Bakelite, acrylic glass, and Teflon with a thickness of 0.5–1 cm.

1.
R. P.
Feynman
,
R. B.
Leighton
, and
M.
Sands
,
The Feynman Lectures on Physics
, Vol.
2
(
Addison-Wesley
,
Massachusetts
,
1964
).
2.
G. W.
Parker
, “
Electric field outside a parallel plate
,”
Am. J. Phys.
70
(
5
),
502
507
(
2002
).
3.
T. T.
Grove
,
M. F.
Masters
, and
R. E.
Miers
, “
Determining dielectric constants using a parallel plate capacitor
,”
Am. J. Phys.
73
(
1
),
52
56
(
2005
).
4.
M.
DiStasio
and
W. C.
McHarris
, “
Electrostatic problem? Relax!
,”
Am. J. Phys.
47
(
5
),
440
444
(
1979
).
5.
G. T.
Carlson
and
B. L.
Illman
, “
The circular disk parallel plate capacitor
,”
Am. J. Phys.
62
(
12
),
1099
1105
(
1994
).
6.
J. C.
Maxwell
,
A Treatise on Electricity and Magnetism
, 3rd ed. (
Clarendon Press
,
Oxford
,
1873
), Vol.
1
.
7.
R. N.
Metz
, “
The absolute electrometer revisited
,”
Am. J. Phys.
41
,
1170
1175
(
1973
).
8.
S.
Straulino
and
A.
Cartcci
, “
An absolute electrometer for the physics laboratory
,”
Phys. Educ.
44
(
3
),
301
305
(
2009
).
9.
L. D.
Landau
,
E. M.
Lifshitz
, and
L. P.
Pitaevskii
,
Electrodynamics of Continuous Media
, 2nd ed. (
Pergamon Press
,
Oxford
,
1984
).
10.
A.
Gingle
and
T. M.
Knasel
, “
Undergraduate laboratory investigation of the dielectric constant of ice
,”
Am. J. Phys.
43
,
161
167
(
1975
).
11.
A.
Kakimoto
,
I.
Ogawa
, and
T.
Matsushita
, “
Improvements on the measurements of dielectric constant and dissipation factor in a wide frequency range
,”
Rev. Sci. Instrum.
48
,
1570
1575
(
1977
).
12.
Y.
Nogi
,
K.
Suzuki
, and
Y.
Ohkuma
, “
Measurement of electric fields and estimation of dielectric susceptibility
,”
Am. J. Phys.
81
(
5
),
359
365
(
2013
).
13.
R. C.
West
,
M. J.
Astle
, and
W. H.
Beyer
,
CRC Handbook of Chemistry and Physics
, 86th ed. (
Chemical Rubber Company Press
,
Boca Raton, FL
,
2005
).
14.
D. E.
Gray
,
American Institute of Physics Handbook
, 2nd ed. (
McGraw-Hill
,
New York
,
1963
).
15.
Clipper Controls, Dielectric Constants of Various Materials <http://www.clippercontrols.com/pages/Dielectric-Constant-Values.html>.
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