Compare the equation of your trendline to Ohm’s Law: What is the relationship between V and I? What quantity does the slope of your trendline represent?
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Step 1: Recall Ohm’s Law, which states that \( V = IR \), where \( V \) is voltage, \( I \) is current, and \( R \) is resistance. Show more…
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Data: Table 1: Resistors in Series RESISTANCE (R, ohms) CONDUCTANCE (1/R, mhos) VOLTAGE (V, volts) Current (I, amperes) 10.2 ohms 0.098039216 mhos 1.62 V 0.1588235294 98.3 ohms 0.01017294 mhos 1.57 V 0.0159715158 322 ohms 0.00310559 mhos 1.58 V 4.906832298x10^-3 502 ohms 0.001992032 mhos 1.58 V 3.147410359x10^-3 596 ohms 0.001677852 mhos 1.58 V 2.651006711x10^-3 723 ohms 0.001383126 mhos 1.57 V 2.171507607x10^-3 974 ohms 0.001026694 mhos 1.59 V 1.632443532x10^-3 2900 ohms 0.000344828 mhos 1.59 V 5.482758621x10^-4 9,970 ohms 0.000100301 mhos 1.58 V 1.584754263x10^-4 98,000 ohms 1.02041x10^-5 mhos 1.59 V 1.62244898x10^-5 967,000 ohms 1.03413x10^-6 mhos 1.51 V 1.561530507x10^-6 Linear Regression: Current vs Conductance (I vs 1/R) Linear Regression equation: y = 1.6204x - 9E-05 Coefficient of Determination: 1 Pearson's Coefficient of Correlation: 1
Adi S.
Lab 22 Experiment 1: Ohm's Law Results/Observations Voltage Readings of Different AA Battery Combinations Battery Combination Voltage (V) Current (A) 1 1.6 0.00156 1 and 2 3.21 0.00312 1, 2, and 3 4.81 0.00467 1, 2, 3, and 4 6.42 0.00622 Resistor Data Resistance (Ω) Slope (V/A) Percent difference 0.001 0.0011 9.09% Using an application such as Microsoft Excel, create a graph of the Voltage Readings of Different AA Battery Combinations table. Insert the plot below. [X-axis = current, Y-axis = voltage] What is the relationship between voltage and current? Use data from your graph to support your answer. Execute a linear regression fit in Excel to calculate the slope of the line and record it in the Resistor Data table. How does the value of the slope compare to the resistance you measured? Calculate the percent difference. Use the results of your experiment to verify Ohm's Law.
Jagjit Singh C.
(1). Use excel to plot a graph of Voltage verses Current for each data table. (2). Find the slope of each graph and compare with the known resistor value provided. Does your value fall in the range of the known resistor? ANALYSIS 1. As the potential across the resistor increased, the current through the resistor increased. If the change in current is proportional to the voltage, the data should be in a straight line and it should go through zero. In these two examples how close is the y-intercept to zero? Is there a proportional relationship between voltage and current? If so, write the equation for each run in the form potential = constant%current. (Use a numerical value for the constant.) 2. Compare the constant in each of the above equations to the resistance of each resistor. 3. Resistance, R, is defined using R = V/I where V is the potential across a resistor, and I is the current. R is measured in ohms (Ω), where 1 Ω = 1 V/A. The constant you determined in each equation should be similar to the resistance of each resistor. However, resistors are manufactured such that their actual value is within a tolerance. For most resistors used in this lab, the tolerance is 5% or 10%. Check with your instructor to determine the tolerance of the resistors you are using. Calculate the range of values for each resistor. Does the constant in each equation fit within the appropriate range of values for each resistor? 4. Do your resistors follow Ohm's law? Base your answer on your experimental data. Resistance R = 68 Ω ± 5% Means R = 68 Ω ± 3.4 Ω
Aarya B.
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