The Physics Teacher -- February 2012 -- Volume 50, Issue 2, pp. 73

Charge and Energy Stored in a Capacitor

Yaakov Kraftmakher

Bar-Ilan University, Ramat-Gan 52900, Israel

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Using a data-acquisition system, the charge and energy stored in a capacitor are measured and displayed during the charging/discharging process. The experiment is usable as a laboratory work and/or a lecture demonstration.

© 2012 American Association of Physics Teachers

KEYWORDS and PACS

PACS

  • 01.50.My

    Demonstration experiments and apparatus

  • 84.60.-h

    Direct energy conversion and storage

History
Online Jan 2012

PUBLICATION DATA

ISSN

0031-921X (print)  

ARTICLE DATA


  1. E. Hecht, Physics (Brooks/Cole, Pacific Grove, 1994), pp. 648–649.
  2. H. D. Young and R. A. Freedman, Sears and Zemansky's University Physics, 10th ed. (Addison-Wesley, San Francisco, 2000), pp. 779–780.
  3. R. Weiss, “A quantitative demonstration of the energy stored in a capacitor or an inductor,” Am. J. Phys. 37, 566 (May 1969).
  4. F. Heinrich, “Entropy change when charging a capacitor: A demonstration experiment,” Am. J. Phys. 54, 742–744 (Aug. 1986)AJPIAS000054000008000742000001. [ISI]
  5. A. Edgar, “Calorimetric measurements of capacitance and inductance using an integrated circuit temperature sensor,” Am. J. Phys. 61, 949–951 (Oct. 1993).
  6. I. Fundaun, C. Reese, and H. H. Soonpaa, “Charging a capacitor,” Am. J. Phys. 60, 1047–1048 (Nov. 1992)AJPIAS000060000011001047000001.
  7. K. Mita and M. Boufaida, “Ideal capacitor circuits and energy conservation,” Am. J. Phys. 67, 737–739 (Aug. 1999)AJPIAS000067000008000737000001. [ISI]
  8. R. Newburgh, “Two theorems on dissipative energy losses in capacitor systems,” Phys. Educ. 40, 370–372 (2005).
  9. P. S. Carvalho and A. Sampaio e Sousa, “Helping students understand real capacitors: Measuring efficiencies in a school laboratory,” Phys. Educ. 43, 400–406 (2008).

Figures (click on thumbnails to view enlargements)

FIG.1
Setup for observing the charging/discharging process.

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FIG.2
Example of the measurement data and calculations for V0 = 5V, from top to bottom: charging/discharging current i, voltage V on the capacitor, charge Q, and energy E stored in the capacitor.

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FIG.3
The charge stored in the capacitor versus applied voltage and the energy stored versus applied voltage squared. The slope of both proportional fits equals to the capacitance in microfarads.

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