Ohm's+Law+-+Daniel+Hayes,+Saie+Ganoo,+&+Nathan+Campbell

__**Title of Lab:**__ Ohm's Law Inquiry Lab

__**Researchers:**__ Daniel Hayes, Saie Ganoo, & Nathan Campbell

__**Research Question:**__ What is the relationship between the voltage across the ohmic device (resistor) and the current flowing through the device?

__**Research:**__ According to **Ohm's Law**, the current through a conductor between two points is directly proportional to the potential difference across the two points. It is represented by the formula:
 * V = I*R**
 * I** is the current through the conductor (amps)
 * V ** is the potential difference measured across the conductor (volts)
 * R** is the resistance of the conductor (ohms)

//DIAGRAM//: www.grc.nasa.gov

In addition, we can determine the resistance of our resistor by noting the colored bands located directly on the resistor. We can use the chart and rules below: // Rules //** : ** 1) The 1st and 2nd color rings represents the first 2 digits 2) The 3rd color ring represents the multipler 3) The 4th color ring represents the tolerance
 * //**Color**// || //**Number**// || //**Multiplier**// || //**Tolerance**// ||
 * Black || 0 || 1 ||  ||
 * Brown || 1 || 10^1 ||  ||
 * Red || 2 || 10^2 ||  ||
 * Orange || 3 || 10^3 ||  ||
 * Yellow || 4 || 10^4 ||  ||
 * Green || 5 || 10^5 ||  ||
 * Blue || 6 || 10^6 ||  ||
 * Violet || 7 || 10^7 ||  ||
 * Gray || 8 || 10^8 ||  ||
 * White || 9 || 10^9 ||  ||
 * Gold ||  || 10^-1 || 5% ||
 * Silver ||  || 10^-2 || 10% ||
 * No Color ||  ||   || 20% ||

__ **Hypothesis:** __ The voltage across the ohmic device and the current flowing through the device will have directly proportional relationship.

__**Materials:**__ Ammeter Voltmeter Power supply resistor leads

__**Procedure:**__ 1. Connect leads to voltmeter and power supply 2. Attach resistor to ammeter 3. Make sure leads are calibrated 4. Turn on power supply 5. Connect leads to resistor 6. Increase current from power supply in increments of 0.02 A from 0 A to 0.2 A.

//LAB SET-UP//

__**Data:**__ //Line of Best Fit//: y=10.25x+0.077
 * Current(amps) || Voltage(volts) ||
 * 0 || 0 ||
 * .02 || .31 ||
 * .04 || .49 ||
 * .06 || .72 ||
 * .08 || .91 ||
 * .1 || 1.1 ||
 * .12 || 1.33 ||
 * .14 || 1.56 ||
 * .16 || 1.7 ||
 * .18 || 1.9 ||
 * .2 || 2.1 ||

__**Data Analysis:**__ The above graph shows the relationship between the current going through the resistor and the voltage going across the resistor. The x-intercept and y-intercept (0.077 volts) are both located very close to 0, which is reasonable because when Current is 0, then Voltage will be 0, and vice versa. (//justified by Ohm's Law above//).
 * Our experimental slope is 10.25 ohms**. This slope represents the resistance of the resistor, represented by the equation **[Voltage= Resistance x Current]** (//justified by Ohm's Law//).

We can determine the actual resistance of the resistor by noting the arrangement of color bands. In this case the arrangement is brown-black-black-gold, representing a theoretical resistance of 10 ohms. Therefore, our percent error: (10.25 ohms - 10 ohms)/10 ohms = 2.5 %

The data seems to support our hypothesis that the relationship between the voltage across the ohmic device and the current flowing through the device would be directly proportional. Considering the linear property of our data and the low percent of error, there weren't many errors in the experiment. However, to improve the accuracy, we could carry out the experiment again and even extend the graph by adding more experimental values. In addition, we could try using different resistors with different colored bands to see if the amount of accuracy changes. In conclusion, we experimentally found that current and voltage are directly proportional, hence allowing for the use of the equation V=IR in physics classrooms everywhere!
 * Conclusion:**