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2018/2019

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LABORATORY 5
DC Circuits
Aim
To determine how the voltage across a capacitor increases with time when being charged
in an RC circuit. Acquire a basic understanding in using a CRO. Using the CRO to
investigate the charge and discharge curve of a capacitor in an AC circuit.
Introduction
To determine how the voltage applied acts in a capacitor circuit an experiment is
designed to charge and discharge the capacitor. In the charging cycle there is no current
until the switch is closed and then the charge begins. The voltage is measured across the
capacitor. Once the capacitor is charged the current stops flowing and the potential
difference reaches its maximum value, which is measured. As the capacitor is discharged,
it is done so through a 100ohm resistor.
When the CRO is connected to the capacitor circuit a square wave is used to rapidly
charge and discharge the capacitor. The CRO is setup to display both the input signal and
the voltage across the capacitor, simultaneously on the screen. From this display the
period and amplitude are measured.
Results
Observations
Peripheral conditions:
Room temperature: 24C
Time of experiment: 1100Hrs
Date of experiment: 25/05/18
Data Collection
See Appendix 1 for spreadsheet where data was collected, Theoretical charging,
Experimental charging values measured and calculated. This is done in 6 trials, each trial
is a different experiment as follows:
Trial 1 (s): 0
Trial 2 (s): t
Trial 3 (s): 2t
Trial 4 (s): 3t
Trial 5 (s): 4t
Trial 6 (s): 5t
This is done for the first 6 trials to show the change in voltage and current over time as
the capacitor charges.
Analysis
From the raw data captured, the experimental voltage and experimental current of each
trial are measured, as per Appendix 1.
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LABORATORY 5

DC Circuits

Aim To determine how the voltage across a capacitor increases with time when being charged in an RC circuit. Acquire a basic understanding in using a CRO. Using the CRO to investigate the charge and discharge curve of a capacitor in an AC circuit.

Introduction To determine how the voltage applied acts in a capacitor circuit an experiment is designed to charge and discharge the capacitor. In the charging cycle there is no current until the switch is closed and then the charge begins. The voltage is measured across the capacitor. Once the capacitor is charged the current stops flowing and the potential difference reaches its maximum value, which is measured. As the capacitor is discharged, it is done so through a 100ohm resistor. When the CRO is connected to the capacitor circuit a square wave is used to rapidly charge and discharge the capacitor. The CRO is setup to display both the input signal and the voltage across the capacitor, simultaneously on the screen. From this display the period and amplitude are measured.

Results Observations Peripheral conditions: Room temperature: 24C Time of experiment: 1100Hrs Date of experiment: 25/05/

Data Collection See Appendix 1 for spreadsheet where data was collected, Theoretical charging, Experimental charging values measured and calculated. This is done in 6 trials, each trial is a different experiment as follows: Trial 1 (s): 0 Trial 2 (s): t Trial 3 (s): 2t Trial 4 (s): 3t Trial 5 (s): 4t Trial 6 (s): 5t This is done for the first 6 trials to show the change in voltage and current over time as the capacitor charges.

Analysis From the raw data captured, the experimental voltage and experimental current of each trial are measured, as per Appendix 1.

In Appendix 2 the scatter graph (Graph 1) of Experimental Voltage vs Time is plotted. In Graph 2 Experimental Current vs Time is plotted. On both of these graphs, there is an overlay of the theoretical voltage vs time and theoretical current vs time respectively.

Discussion

  1. The shape of the line resulting from the plot of the data shows a curve. This is because at time 0s when there is no voltage there is no current, but as soon as the circuit is closed and voltage is applied it starts off low and quickly makes it way to close of the maximum value of voltage applied. It the tapers off slowly to the maximum value. The current vs Time graph shows a curve in the opposite direction of the voltage vs time graph. The current starts high at time 0s then quickly reduces down, then slowly tapers off to a minimum value of current.
  2. There is a relationship between the current flow in the circuit and the charge on the capacitor. This relationship seems to be indirectly proportional to each other, as the voltage is increased across the capacitor, the current is low. Similarly when the voltage across the capacitor is low, the current flow of the circuit is high. This is due to the charging properties of the capacitor. When the capacitor is low in potential difference, it takes a lot of current flow to build up a charge and fill up the capacitor, This is done quite quickly, but as the voltage of the capacitor gets close to its maximum value, the current flow slows down and it takes some time to get the last bit of charge into the capacitor as it is getting quite full of charge.
  3. If 9v was not assumed open circuit voltage, the resultant shape of the curve would not change, but the values of voltage and current would change. The shape of the curve still stays the same, the experiment would still be a success, showing the user the characteristic of voltage and current in the charging cycle.
  4. The open circuit voltage is used for the theoretical calculations because it is the maximum value that the potential difference across the capacitor can reach. A voltage under load varies depending on the real world load characteristics and would not give correct theoretical results, resulting in a line that would not represent a curve as did in the experiment conducted.
  5. In Appendix 3 is the sketch of the resultant display of the CRO attached to the capacitor charging circuit. It has labelled axis and shows the charging and discharging voltage within one cycle. This time constant allows the capacitor to fully charge during the “ON” period waveform and then fully discharge during the “OFF” period resulting in the waveform sketched. If now the time period of the waveform was reduced, the result is an increased frequency, where the capacitor would not have sufficient time to either fully charge during the “ON” period or fully discharge during the “OFF” period. The resultant voltage drop across the capacitor would be less than its maximum input

Appendix 1

PEN152 Experiment 5 Direct Current Circuits Students names

maximum current for charging capacitor (A) 0.

Theoretical Charging Experimental Charging Time (s) Time (s) Voltage (V) Current (A) Time (s) Voltage (V)

Current (A)

0 0 0 0.00019149 0 0 0. τ (^22) 5.68908503 7.0445E-05 22 5.5 0. 2 τ 44 7.78198245 2.5915E-05 44 7.5 0. 3 τ 66 8.55191638 9.5337E-06 66 8.38 0. 4 τ 88 8.83515925 3.5072E-06 88 8.73 0. 5 τ 110 8.93935848 1.2902E-06 110 8.88 0.

Appendix 2

Grap

h 1

Gr aph 2

Gra ph 2