Laboratory #13: RC-CircuitPurpose and Introduction
Electrical circuits are used throughout everyday life. In the RC-Circuit experiment, thestudent views the charge and voltage of resistors and capacitors. The student will need thefollowing supplies: power supply, stopwatch, banana plug wires, resistor, computer for dataanalysis, alligator clips, and a capacitor.The charging capacitor experiences a charge erect over time while connected to thecapacitor. The voltage that comes through the capacitor also rises with the capacitor, being thatvoltage is relative to charge . The time constant is the time needed for the charge of thecapacitor to reach at least 63% . To show this in an equation: t=1s.Capacitors are not constant in the rate which they charge or discharge . However if theamount of charge along the capacitor is higher it will determine how much time is taken for it tocharge and discharge. Ideally the charging behavior equation will resemble the following:Q(t)=CV❑0(1−e❑−t/RC)(1)The Q and T involved in the above equation represents the charge happening to thecapacitor and time. The C is the capacitance when conjoined with resistance, while V voltagefrom the power source. Voltage correlates to the charge of a capacitor so (V=Q/C).The following equation is an expression for the voltage that is distributed along thecapacitor in relation to time:V(t)=V0e❑−t/RC(2)Experimental DetailsTo determine the resistance of the resistor provided for the experiment, a multimeter was used and the color code was recorded. The figure below depicts the set up for this experiment.