A cylindrical electrolytic tank between a set of Helmholtz coils provides a classroom demonstration of induced, nonconservative electric fields. The field strength is measured by a sensor consisting of a pair of tiny spheres immersed in the liquid. The sensor signal depends on position, frequency, and orientation. A low resistance copper ring strongly modifies the magnetic field inside and increases the field outside; the electric field changes accordingly. A metallic ring with a small gap can be used to measure the behavior of the electric field in the vicinity of windings around a transformer core. The measured results are consistent with simple models.

1.
See for example,
S.
Ramo
,
J. R.
Whinnery
, and
Th.
van Duzer
,
Fields and Waves in Communication Electronics
, 2nd ed. (
Wiley
, New York,
1984
).
2.
See, for example, Sec. 3.16 of Ref. 1.
3.
D. J.
Griffiths
,
Introduction to Electrodynamics
, 3rd ed. (
Prentice Hall
, London,
1999
), p.
90
.
4.
EM Software and Systems GmbH, Otto-Lilienthal-Straße 36, D-71034 Böblingen, Germany, ⟨www.feko.info⟩.
5.
See Sec. C.2 of Ref. 6 or Eq. (8) in Ref. 7.
6.
H.
Kaden
,
Wirbelströme und Schirmung in der Nachrichtentechnik
, 2nd ed. (
Springer-Verlag
, Berlin,
1959
).
7.
S.
Fahy
,
C.
Kittel
, and
S. G.
Louie
, “
Electromagnetic screeing by metals
,”
Am. J. Phys.
56
,
989
992
(
1988
), and references therein.
8.
F. B.M.
van Horck
,
A. P.J.
van Deursen
, and
P. C.T.
van der Laan
, “
Common-mode currents generated by circuits on a PCB-measurements and transmission-line calculations
,”
IEEE Tr. Electromag. Compat.
43
,
608
617
(
2001
).
9.
W. R.
Smythe
,
Static and Dynamic Electricity
, 3rd ed. (
McGraw-Hill
, New York,
1968
).
10.
M. A.
Jaswon
and
G. T.
Symm
,
Integral Equation Methods in Potential Theory and Electrostatics
(
Academic Press
, London,
1977
), Sec. 11.3. Parts reprinted with permission from Elsevier.
11.
J. E.
Allen
and
S. E.
Segre
, “
The electric field in single turn and multisector coils
,”
Nuovo Cimento
21
,
980
987
(
1961
).
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