# Powering A World; Kirchhoff's Voltage Law

1288 words - 5 pages

I. Introduction
In today’s society, the need to have an adequate supply of electricity to run everyday tasks is in greater demand than ever. Everyday we turn our lights in our homes on and off without really thinking about if there is enough electricity to power each and every light. Throughout this paper, we examine Kirchhoff’s Voltage Law the sum of the electrical potential differences around any closed network is zero . Represented by the equation ΣV=0, which means v1+ v2+ v3+…+ vn=0 . A way at looking at this equation in words is by the sum of the voltage rises in the loop will equal the sum of voltage drops in the loop . By applying this principle electrical engineers can use this to determine if there is enough energy to power an entire circuit ranging from small items like a flashlight, to skyscrapers in the world’s largest cities.
II. Procedure
Three experiments were performed in order to prove Kirchhoff’s Voltage Law. The first experiment performed would verify that the voltage across a straight path would add up to the same voltage summed from the voltage sources. The second experiment performed would be to verify that voltage across multiple paths would add up to the voltage of the voltage source. The third experiment performed would be to verify that both of the ideas expressed in experiment one and experiment two would remain consistent together.
All of the experiments we performed utilized a voltmeter, a breadboard, some wire, two different types of voltage sources, and resistors with a range of resistance. All components were plugged into the breadboard for ease of testing purposes using the voltmeter.
For experiment one, a continuous loop was made on the bread board using a 9 volt (v) battery, a 1.5 kilo ohm resistor, a 25 ohm resistor, a 1.5 volt battery, a 180 ohm resistor, another 1.5 kilo ohm resistor, then back to the negative side of the initial 9v battery as seen in Figure 1. Wires were used to help connect the batteries to the breadboard and should be considered to have little to no resistivity. After everything was plugged in, the voltmeter was used to test and record the voltages over the different resistors, which can be seen in Table 1.
Experiment two used only the 9v battery as a voltage source. The experiment was formed starting a loop at the positive end of the 9v battery through two distinct paths. One path was only through a 1.5-kilo ohm resistor. The second path was through a 1.5-kilo ohm resistor then a 1.2-kilo ohm resistor. Both paths ended back at the negative side of the 9v battery as seen if Figure 2. Same as the first experiment, the voltmeter was used to test the voltages across the resistors that were then recorded in Table 2.
For the last experiment, both the 9v and the 1.5v battery were used in a multipath circuit. The loops we used for our calculations started at the positive end of the 9v battery where two paths would then split off from this point. The first path...

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