Analysis of Resistive NetworksExperiment 1

ObjectivesTo demonstrate the characteristics of series-parallel circuits by measuring and verifying the calculations of the resistance, voltage and current associated with the different resistive components of a series parallel circuit.

To demonstrate the principle of basic electric circuit laws.

To demonstrate the use of basic principles involved in series, parallel and series-parallel circuits.

Sample Circuit

Final Data Sheet

MEASUREDVALUESR1R2R3R4R5RT987 679 985 985 982 2328 V1V2V3V4V5VT6.42 V4.41 V4.26 V2.14 V2.14 V15.20 VI1I2I3I4I5IT6.5 mA6.5 mA4.2 mA2.4 mA2.4 mA6.5 mA

Final Data Sheet

CALCULATEDVALUESR1R2R3R4R5988 680 1014 892 892 RT I at C VACDBACEFDCACEFDBA2338 -0.10.1-0.020.08

Summary of AnalysisThe total current flowing across the resistors which are connected in series connection is equal. On the other hand, the total voltage is equivalent to the summation of the voltages across each resistor because the voltage on a series connection is not equal. The total voltage flowing across the resistors which are connected in parallel is equal. In addition, the total current in a parallel circuit is equivalent to the summation of current across each resistor primarily for the reason that the current along the parallel circuit is not equal. Using the principle of Kirchhoffs Current Law, the summation of all currents in a certain node should be equal to zero. Using the principle of Kirchhoffs Voltage Law, we could say that the summation of the voltages across a certain closed loop should be equal to zero. The total resistance of a parallel circuit is equal to the sum of the reciprocals of each resistances of the resistor which is in parallel which could be expressed by using the formula respectively. On a series circuit, the total resistance is equal to the sum of the resistances of each resistor. On a series and parallel circuit the formula for the total resistance in series and in parallel should be combined.

ConclusionOn the entire course of the experiment, we determined the characteristics of a series-parallel circuit. On this type of circuit, we wont be able to apply a single set of rules on the entire circuit. We must identify which part of the circuit is with series or with parallel with each other.

We conclude that the theories presented such as the KCL, KVL and Ohms Law were proven through the data gathered and the theoretical values. On using KVL on ABCDA loop, There is a slight difference because of the internal resistance present on the VOM affected the reading. Meanwhile by utilizing KCL at node C, there is also a slight discrepancy because we opt to use the analog ammeter rather than the electronic VOM. Ohms Law is utilized to get the total current on the circuit or the total resistance present on the circuit. We also used this law to calculate the individual resistance on the resistors. When the resistors are in series, we could easily get the equivalent resistance by getting their sum, meanwhile the current of a component on the circuit is equal all throughout the circuit. On the other hand, the total current of a parallel circuit is equal to the sum of the current on each branch and the voltage on the separate braches must be equal to each other.