Lab #3 Voltage and Current Part 1 AP

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Apr 3, 2024

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1 Lab Report#3 Name: Arthur Perry Partner’s Name: Naveen Praba General Physics 2, Section 008 Experiment Performed: 2/15/2024 Lab Report Due: 2/29/2024 1. Objective (0.3 points) The objective of this experiment is to observe and understand how voltage and cur- rent are produced and measured using the Capstone interface. Additionally we learn how voltage and current are effected in resistors. 2. Description We skipped sections 6.2 3. Theory Voltage , also referred to as potential difference, between two points results in work being done by the electric field when moving a charge, electrons, from one point to the other. This work is path-independent. Voltage, measured in joules per coulomb (J/C) or Volts (V), always involves two specified points. Assume the Earth is assumed to be an equipotential, and voltages are commonly referenced to "ground." Batter- ies, power supplies, and signal generators generate voltage. In circuits, wires are often treated as equipotentials, simplifying measurements. AC voltage alternates with time, with the time-dependent voltage defined by a pe- riod (T) and frequency (f or ν ). The shape of voltage vs. time graph is wavelike, with common types being sine, square, triangular, and ramp. A voltmeter connected in parallel measures voltage between two points on a conductor. Ideal voltmeters
2 draw minimal current, ensuring accurate measurements without significantly af- fecting voltage. 2.2 While current can be characterized for charges in motion outside conductors, our primary focus lies in understanding the net charge flow within conducting materials. In the case of a wire, current is defined as the quantity of charge passing a specific point in the wire within a unit time and in a designated direction. This is is where we get units of coulombs per second (C/s) or amperes (A). Measuring current in a wire involves breaking the wire and connecting its two ends to an ammeter, a device designed for current measurement. The measured current flows through the ammeter. Essentially, to determine the current passing through a resistor, it is essential to position the ammeter in series with the resistor. 2.3 In a conductor mobile charges flow in the presence of an electric field. When an electric field is applied to a conductor, these charges align with the field on the con- ductor's surface. However, the force from the electric field on the charges faces op- position from frictional forces making it challenging for current to flow. A compo- nent designed to interrupt current flow is referred to as a resistor. If V represents the voltage across a resistor and I is the current through it, it is often observed that the ratio V/I approximates a constant, known as resistance (R), measured in ohms ( Ω ). This relationship, known as Ohm's Law, is expressed as V = I R Equation 1 2.4 When two resistors, R1 and R2, are connected in series, the resulting combination is equivalent to a single resistor, R, determined by the formula R = R1 + R2. Con- versely, if two resistors are connected in parallel, their equivalent resistance, R, is calculated using the formula 1/R = 1/R1 + 1/R2 Equations 2. 4. Procedure
3 Every sections but 6.2 was done in this lab. 5. Data and Calculations 6.1 Table 1: Voltage measure across 10Ω & 30Ω resistors Table 2: Voltage and Current measured and Resistance calculated using (R=V/I)
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4 6.3 6. Error Analysis There are a few sources of error in this experiment. Noticeably is that the analog voltmeter and the Capstone interface voltage/current readings do not always align perfectly. This is because of the design of the analog voltmeter and amp meter. The loss is a few thousandths but is a notable point of error between the digital and analog readings. Additionally, if the capstone is not outputting the exact voltage de- nominated in the capstone reading could be slightly different. Also, error in the hand drawn graphs is probable. 7. Questions 2.1.1 Often, a water pipe is used to ground an electrical panel. Why is this done? Water pipe is used because water pipes sunk into the ground near the water mains or well. Which also grounds it to the Earths crust. 2.1.2 Why is the voltage measured across (rather than through) a resistor? What would the voltmeter read if instead both leads were placed to the right or left of the resistor?
5 A voltmeter draws a small amount of current from a voltage source by using a known, significantly large resistance. Consequently, it can determine the voltage corresponding to the sampled current, and this is the information displayed to the user. When connected in parallel. If you were to connect the voltmeter leads in series it would essentially introduce a very high resistance into a location where it was not originally intended. 2.2.1 What do you think the ammeter would read if the lamp was taken out of the circuit and replaced with more wire? This would result in a short circuit. Thus, the iAmmeter the Battery and the wiring may be burnt or damaged. They will heat up very quickly 5.1 What is the maximum amplitude the interface can produce? What are the minimum and maximum frequencies the interface can produce? Max Amplitude: 15A Min Frequency: 0.001Hz Max Frequency: 200KHz 5.2 At the 3 volt scale what is the voltmeter displaying? Which would represent an accurate reading of the voltage, the analog meter or internal reading? The voltmeter is displaying 2.984V. The analog meter is reading off the scale. The most accurate would be the internal reading. 5.3 What does the analog voltmeter read? Is it the same voltage as being dis- played in the signal generator window? It changes to 30V, no the signal generator window is still showing 2.984V. This is be- cause the as the scale changes 5.4 Sketch the voltmeter reading as a function of time. Change the frequency to 0.5 Hz. What is happening to the meter? Repeat for 8 Hz. Does the needle stay constant? Change the frequency to 60 Hz. Describe the meter reading and explain
6 your observations. Hint: If you are confused, try changing the frequency in smaller steps up to 60 Hz, observe how the meter changes at each frequency. When the frequency is increased the meter changes faster. The needle continues to fluctuate faster until the the frequency is so large that the analog reader cannot keep up and the needle stays in a constant space. Initially the meter goes up then drop quickly then goes up again then drops quickly. Eventually, the frequency is so fast that he needle can no longer keep up. SEE appendix figure 6 for Sketch. 5.0.1.1 How does the analog voltmeter compare to the output digits display? What could be causing the differences? Try changing the sensitivity and note the differences in readings. The analog reading is consistently just above 10V no matter how we change the sensitivity i.e. 34/100V or 3.2/10. The digital display is reading 9.961V so slightly below 10V. This could be due to elec- trical losses or resistance found in the capstone system. Also, it is possible that a small amount of voltage is being consumed by the analog meter causing the cap- stone interface to read a lower voltage. 6.1.1 What do you have to change to measure the voltage across the 33 Ω resistor? You have to switch the lead positions so the voltmeter is reading from the 33 Ω re- sistor and the power lead is through the 10 Ω resistor. 6.1.2 Compare the two measured voltages. Are they the same values? They should be. Explain why two different resistors in parallel must have the same voltage drop. Would they have the same voltage drop if connected in series? The voltages are very very similar across the two resistors. This should be the case because resistors in parallel are on the same equipotential lines and their terminals are identical voltages. In other words both resistors are connected to the same points on the circuit making there voltage difference the same with is also equal to the voltage of the power source.
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7 If the resistors were connected din series they would not necessarily have the same voltage drop across them. That would depend on the specific resistance of the resis- tors and in this case since they are different 33 Ω compared to 10 Ω the voltage drop would be different. 6.3.1 How does using the analog current meter effect the current? An analog ammeter it introduced some resistance in the current due to how is it de- signed. This can reduce the overall current in the circuit. Ammeters are designed to have very low resistance to minimize this effect but it is not completely void. 6.4.1 Does analog meter correctly display the function of the waveform? If not what would be the issue Yes, the analog voltmeter does display the function in waveform. However as the frequency increase it does have some trouble keeping up with the changes. Overall it depicts the general shape of the graph. 8. Conclusion This experiment was successful in detailing my understanding of how voltage and current interact and are measured in A circuit. It also showed the difference be- tween digital and analog meters when measuring voltage and current. Addition- ally, we were able to see how different waveforms of AC current are graphed
8 A Appendix Figure 1: Square Waveform Approximation
9 Figure 2: Positive Ramp Wave Approximation
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1 0 Figure 4: Triangle Waveform Approximation Figure 3: Negative Ramp Wave Approximation
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1 3
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1 6
1 7 Sine Waveform Time (S) Voltage (V) Figure 5: Sine Waveform Approximation Time (S) Voltage (V) Positive up ramp Waveform Figure 6: positive up ramp wave form from questions
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