The High Resistance Measurement up to 100 PΩ using a Low Resistance, a Low Voltage Source and a Commercial Digital Multimeter

  • Yu, Kwang Min (Division of Physical Metrology, Korea Research Institute of Standards and Science) ;
  • Lee, Sang Hwa (Division of Physical Metrology, Korea Research Institute of Standards and Science) ;
  • Kang, Jeon Hong (Division of Physical Metrology, Korea Research Institute of Standards and Science) ;
  • Kim, Wan-Seop (Division of Physical Metrology, Korea Research Institute of Standards and Science)
  • Received : 2017.04.24
  • Accepted : 2017.11.21
  • Published : 2018.05.01


The potentiometric measurement result for a high resistance up to $100P{\Omega}$ using a low resistance, a low voltage source and a commercial digital multimeter(DMM) is presented. With the method, a resistance can be easily, fast and economically measured. Using the method, resistance ranges over the $10G{\Omega}$ range which is difficult to measure using a commercial DMM and resistance ranges between $100T{\Omega}$ and $100P{\Omega}$ which cannot measure using an insulation tester were measured within accuracy of a few percent. It is expected that it can be useful to determine the temperature and voltage effect of a high resistance and an insulation material because it uses a reference resistance with a low resistance, very low temperature and voltage effect. Besides, it is expected that it can be useful to calibrate a dc high voltage divider with a large resistance ratio and a very low resistance because arbitrary resistance ratio measurements are possible with it.


  1. Henderson L C A, "A new technique for the automated measurement of high valued resistors," J. Phys. E: Sci. Instrum., vol. 20, pp. 492-5, 1987.
  2. Dunn A F, "Measurement of resistance ratios in the range to 100 megaohms," IEEE Trans. Instrum. Meas,. vol. 40, pp. 278-80, 1991.
  3. Kusters N L and MacMartin M, "A direct current comparator bridge for high resistance measurements IEEE Trans. Instrum. Meas., IM-22, pp. 382-6, 1973
  4. Fletcher N E, Williams J M and Janssen T J B M, "A cryogenic current comparator resistance ratio bridge for the range 10 k ohms to 1 G ohms CPEM Digest 2000 (Sydney, Australia, 14-19 May) WE3A-2, pp. 482-3, 2000.
  5. Yu, K. M. and Ihm, G., "Accurate calibration of resistance ratios between $1M{\Omega}$and $1G{\Omega}$ using series resistors," Meas. Sci. Technol., vol. 22, p. 115103, 2011.
  6. Jarrett D G, "Automated guarded bridge for calibration of multimegohm standard resistors from $10M{\Omega}$ to $1T{\Omega}$," IEEE Trans. Instrum. Meas., vol. 46, pp. 325-8, 1997
  7. Galliana F and Boella G, "The electrical dc resistance scale from $100k{\Omega}$ to $1T{\Omega}$ at IEN," IEEE Trans. Instrum. Meas., vol. 49, pp. 959-63, 2000.
  8. Jarrett D G, "A $10T{\Omega}$ per step Hamon transfer standard," CPEM Digest 2002 (Ottawa, Canada, 16-21 June) MoP25, pp. 54-55, 2002
  9. Galliana F, Capra P P and Gasparotto E, "Evaluation of two alternative methods to calibrate ultrahigh value resistors at INRIM," IEEE Trans. Instrum. Meas., vol. 60, pp. 965-70, 2011.
  10. Gert Rietveld, Senior Member, IEEE, and Jan H. N. van der Beek, "Automated High-Ohmic Resistance Bridge with Voltage and Current Null Detection," IEEE Trans. Instrum. Meas., vol. 60, no. 6, pp. 1760-1765, 2013.
  11. Kwang Min Yu, Wan Seop Kim, Sang Hwa Lee, Kwon Soo Han and Jeon Hong Kang, "A method for measuring high resistances with negligible leakage effect using one voltage source and one voltmeter," Meas. Sci. Technol., vol. 25, no. 7, 075012 (10pp), 2014.
  12. B. Schumacher and J. Melcher, "Automated high-value resistance calibration up to $1p{\Omega}$," 2010 Conference on Precision Electromagnetic Measurements, THP-23, pp. 635-636, June 13-18, 2010, Daejeon Convention Center, Daejeon, Korea.
  13. S. HOI TSAO, "An Accurate, Semiautomatic Technique of Measuring High Resistances," IEEE Trans. Instrum. Meas., vol. 16, pp. 220-225, 1967.
  14. Dean G. Jarrett, "Analysis of a Dual-Balance High-Resistance Bridge at $10T{\Omega}$," IEEE Trans. Instrum. Meas., vol. 50, pp. 249-254, 2001.
  15. Dean G. Jarrett, "Evaluation of Guarded High-Resistance Hamon Transfer Standards," IEEE Trans. Instrum. Meas., vol. 48, pp. 324-328, 1999.
  16. Supplementary Comparison EURAMET.EM-S32 Comparison of Resistance Standards at $1T{\Omega}$ and $100T{\Omega}$, final report, EM-S32_Final-report.docx, Version, 12.11.2013.
  17. Dean G. Jarrett, Ronald F. Dziuba and Marlin E. Kraft, "A comparison of 1 tq and 10 tc4high resistance standards between nist and sandia," NCSL Workshop & Symposium, 65-72, 1999
  18. Harold A. Sauer, "Wye-Delta Transfer Standards for Calibration of Wide Range dc Resistance and dc Conductance Bridges," IEEE Trans. Instrum. Meas., IM-17, pp. 151-155, 1968.
  19. ISO/IEC 2008, "Guide to the Expression of Uncertainty in Measurement (GUM:1995)," ISO/IEC GUIDE 98-3:2008(E), 2008.
  20. Lee K C, Cage M E and Rowe P S, "Sources of uncertainty in a DVM-based measurement system for a quantized Hall resistance standard," J. Res. Natl. Inst. Stand. Technol., vol. 99, pp. 227-40, 1994.
  21. Cage, M. E., Yu, D., Jeckelmann, Beat. M., Steiner Richard L and Duncan R V, "Investigating the use of multimeters to measure quantized Hall resistance standards," IEEE Trans. Instrum. Meas., vol. 40, pp. 262-6, 1991.