Sunday, 15 July 2012

Capacitors and RC Circuits


The mechanisms and properties of capacitors were examined. Three experiments were conducted: physical analysis of a capacitor through dissection, measuring the total capacitance of two capacitors arrange in series and in parallel circuits and measuring the voltage of an energized capacitor. It was found out that a capacitor is composed of a dielectric compressed by two metal plates, the total capacitance in a parallel connection is the summation of the capacitance of each capacitor present in the circuit while the total capacitance in a series connection is the inverse sum of the reciprocals of the capacitance of each capacitor and that the ability of a capacitor to be energized is a bounded exponential growth.

Capacitors

  

   The experiment consists of three parts. In the first part of the experiment, a cylindrical plate capacitor was dissected and examined. There were three fragments found inside a capacitor all of which were sketched and named.

Cross section of a capacitor

The second part of the experiment is the study of the behavior of capacitors in a circuit in series and in parallel arrangement. The group measured the capacitance of two different capacitors and arranged them first in series, then in parallel. The total capacitance of both set-ups was gathered and recorded.

The third experiment dealt with the capability of a capacitor to store energy and how much voltage runs across it through time. A circuit composed of a capacitor, power supply and a resistor was set. Five circuit combinations were made. Each one differed by an increase of the resistance which was made by adding another resistor. A voltmeter was connected to each combination for the recording of the voltages. From zero volts stored, the capacitor was energized to maximum capacity. Using a stopwatch, the increase of voltage through time in five (5) second intervals was taken. These served as points for the plot of voltage across the capacitor as a function of time. The same process was applied for all combinations.

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