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Measurement of electric fields and estimation of dielectric susceptibility
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10.1119/1.4793439
/content/aapt/journal/ajp/81/5/10.1119/1.4793439
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/81/5/10.1119/1.4793439
View: Figures

Figures

Image of Fig. 1.
Fig. 1.

Disk-type EF sensor consisting of conducting plates and guard rings. Charges induced on the conducting plates flow through resistor . Voltage signals across are observed using an oscilloscope.

Image of Fig. 2.
Fig. 2.

(Color online) Top view of EF sensor. The conducting plate is electrically isolated from the guard ring (painted in black) using a thin plastic film. The signal cables between the conducting plates and terminals A and B are covered with an electrostatic shield.

Image of Fig. 3.
Fig. 3.

Experimental setup. A potential with and  = 300 kHz is supplied between the p-electrode and n-electrode. Nodes C and D in the resistive voltage divider are used to measure . Nodes E and F are used to measure the charge on the p-electrode.

Image of Fig. 4.
Fig. 4.

Reciprocal distance dependence of the electric field in a parallel-plate capacitor. Closed circles and triangles are electric fields measured by EF sensors with and without guard rings, respectively. The solid line denotes the electric field computed from the potential of the electrodes.

Image of Fig. 5.
Fig. 5.

Distance dependence of the electric field, normalized by its value at  = 0 on the central plane of a parallel-plate capacitor with  = 4 cm. The radius of the electrode is marked, and the horizontal line at  = 8 cm denotes the diameter of the conducting plate in the EF sensor. The solid line denotes the electric field computed from the potential of the electrodes.

Image of Fig. 6.
Fig. 6.

Pair of strip electrodes used for generating linear charge distributions parallel to the -axis. The rectangular-type EF sensor is installed at the origin along the -axis to detect the -component of the electric field.

Image of Fig. 7.
Fig. 7.

Reciprocal distance dependence of the electric field divided by the linear charge density of the p-electrode. Closed circles are obtained from the measured values and λ. The solid and dashed lines are calculated from Eqs. (6) and (7) , respectively.

Image of Fig. 8.
Fig. 8.

Pair of small disk electrodes with surface charge densities . A disk-type EF sensor installed between the electrodes detects the -component of the electric field.

Image of Fig. 9.
Fig. 9.

Electric field produced by small disk electrodes. The abscissa denotes the reciprocal square distance and the ordinate denotes the electric field divided by the charge on the p-electrode. Closed circles denote measured values. The solid and dashed lines are calculated from Eqs. (8) and (9) , respectively.

Image of Fig. 10.
Fig. 10.

Two sets of long double-plate electrodes at , parallel with the -axis, that are used for generating continuous linear distributions of dipole moments. The distance between the p-electrode and n-electrode is δ. A rectangular-type EF sensor for measuring is installed along the -axis.

Image of Fig. 11.
Fig. 11.

Sectional drawing of electrodes and EF sensors on the -plane at . The electrodes are rotated in the clockwise direction to measure the θ dependence of the electric field. We define on the -axis. The surfaces of the EF sensor are oriented to the -axis to obtain and to the -axis to obtain . Shaded areas between the electrodes denote the dielectric samples used in Sec. V .

Image of Fig. 12.
Fig. 12.

Distance dependences of electric fields produced by continuous linear distributions of dipole moments. The ordinate is the electric field divided by the charge on the p-electrode. Closed triangles and circles denote measured values of and , respectively. Solid lines are calculated from the right-hand side of Eq. (13) divided by for at and from Eq. (14) for at .

Image of Fig. 13.
Fig. 13.

Azimuthal dependences of electric fields produced by continuous linear distributions of dipole moments. Closed triangles and circles denote measured values of and at , respectively. Solid lines are calculated from Eqs. (13) and (14) .

Image of Fig. 14.
Fig. 14.

Linear relation between dielectric polarization and electric field . The dielectric samples are (a) neoprene rubber, (b) cushion rubber, (c) bakelite, and (d) acryl glass. Solid lines are fitting lines of data for each sample.

Image of Fig. 15.
Fig. 15.

Dielectric susceptibility χ as a function of specific permittivity . Labels (a) through (d) refer to the samples in Fig. 14 . The solid line denotes the theoretical relation .

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/content/aapt/journal/ajp/81/5/10.1119/1.4793439
2013-04-16
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Measurement of electric fields and estimation of dielectric susceptibility
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/81/5/10.1119/1.4793439
10.1119/1.4793439
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