
Appendix B: Equipment and Instrument Circuits
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to measure voltage or current. When measuring voltage, the input resistance is relatively large
(10 MΩ for DC, 10 MΩ in parallel with 100pF for AC). For current measurements, the input re-
sistance is small (1 Ω for 0.2 A DC; 0.1 Ω for 2.0 A DC). Figure B.11 (b) shows an equivalent
circuit for the DMM in the resistance measuring mode. The test current, I
test
, varies with the re-
sistance range.
(a) (b)
Figure B.11 (a) Equivalent circuit for voltage and current measurement with the DMM.
(b) Equivalent circuit for resistance measurement with the DMM.
LCR Meter
The LCR meter is a solid-state instrument used to measure resistance, inductance, and capaci-
tance. It replaces the impedance bridge that was used before this type of direct measuring tool
became available. When first turned on, the LCR meter enters an autoranging mode, so that the
appropriate scales are used in displaying the measurements. Tests can be performed using a test
frequency of either 1 kHz or 120 Hz by pressing the appropriate button.
By pressing the L/C/R button until the letter L is shown in the upper-left-hand corner of the dis-
play, the user can measure inductance. The meter assumes that resistance is in series with this
inductance, and the amount of this series resistance can be found from the quality factor Q dis-
played in the secondary display in the upper-right-hand corner. The relationship between the in-
ductance, resistance, Q, and a dissipation factor D is given by:
frequency L
Q
Note that the dissipation factor is simply the inverse of the quality factor.
Pressing the L/C/R button until the letter C is shown in the upper-left-hand corner of the display
allows one to measure capacitance. This time the meter assumes that the capacitance is in paral-
lel with a resistance. The amount of resistance is related to the quality factor Q and dissipation
factor D by:
2
D
Resistance by itself can be measured by pressing the L/C/R button until the letter R is shown in
the upper-left-hand portion of the display.
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