CIRCUIT THEORY EE223 LAB № 1
Finally, all recorded values were organized into a data table to show the linear relationship between voltage,
current, and resistance.
Analysis of Experiment
The experimental data from Lab 01 provided a clear demonstration of Ohm's Law. The table of results
shows a linear relationship between the applied voltage and the resulting current for a fixed resistance of
6.65 Ω. A key observation is the proportionality: as the voltage increases (e.g., from 1 V to 10 V), the
current increases proportionally (from 0.15 mA to 1.49 mA). For example, at 5 V, the calculated current
(I=V/R=5/6.65) is approximately 0.75 mA, which matches the measured value. At 10 V, the calculated
current (I=10/6.65) is approximately 1.50 mA, which nearly matches the measured value of 1.49 mA.
The voltage drop across the resistor closely matches the supply voltage in each case, with only minor
deviations (e.g., -9.9 V instead of -10 V), indicating that the resistor behaves ideally by following Ohm's
Law with negligible energy loss elsewhere in the circuit. The minor discrepancies (≤ 1%) could be due to
instrument precision, parasitic resistances from wires and connections, or the power supply's internal
resistance.
The linear trend in the data confirms that the resistor is an ohmic material that obeys Ohm's Law across the
tested voltage range. When plotted, the data points form a straight line passing through the origin. The
gradient of the DC Voltage Supply (V) vs. Current (mA) graph represents the resistance of the circuit. A
steeper slope indicates higher resistance, while a shallower slope indicates lower resistance.
The calculated gradients at three different points on the graph were all approximately 6.67, confirming that
the resistance remained constant throughout the experiment. This consistent resistance across varying
voltage and current values suggests a linear relationship between voltage and current. This direct
proportionality is clearly demonstrated in the results table and the current-voltage graph provided. The 99-
100% agreement between theoretical and measured values suggests high experimental accuracy.
Conclusion
In conclusion, the experiment successfully verified Ohm's Law by demonstrating the linear relationship
between voltage and current for a fixed resistor. The objective of the lab was to observe how current
changes with varying DC voltage across a fixed resistor. A 6.65 Ω resistor was used, and the voltage was
adjusted from 10 V down to 1 V. At each voltage level, the corresponding current and voltage drop across
the resistor were recorded.
The results showed that as the voltage was reduced, the current also decreased proportionally, confirming
that for a given resistor at a constant temperature, the current is directly proportional to the voltage across it.
The resistance was measured to be approximately 6.65 Ω and remained constant even as the voltage supply
increased. This is further supported by the calculation of the gradients from the graph, which were all
similar. The consistent resistance across varying voltage and current values confirms that Ohm's Law is
obeyed over the range tested. The experimental data and graph clearly showed a linear trend, which
confirms that the resistor is an ohmic material and obeys Ohm's Law across the tested voltage range.