Electric Fields and Electric Field Lines Simulation Lab

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Sam Houston State University *

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PHYS-411

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Physics

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Dec 6, 2023

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6

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Lab Activity: Electric Fields and Electric Field Lines Names: Date: This lab uses the Charges and Fields simulation from PhET Interactive Simulations at University of Colorado Boulder, under the CC-BY 4.0 license. Note about prior learning: Students should have completed Balloons and Static Electricity and John Travoltage Remote lab or lessons with similar learning goals. Learning Goals: Students will be able to A. Determine the variables that affect how charged bodies interact B. Predict how charged bodies will interact C. Describe the strength and direction of the electric field around a charged body. D. Use free-body diagrams and vector addition to help explain the interactions. E. Compare electric fields to gravitational fields. Review your understanding: 1. Two balloons were rubbed on a sweater like in the Balloons and Static Electricity and then hung like in the picture below. Explain why you think they move apart and what might affect how far apart they will be. This simulation activity investigates the electric fields and electric field lines for various configurations of charge. Follow the link and download to open the simulation. https://phet.colorado.edu/en/simulation/charges-and-fields When the balloons are rubbed against the sweater it causes for the balloons to contain a negative charge. This is because the sweater already gives off its own electrons causing them to rub off onto the balloon. As the balloon are made up of rubber they are considered to be an electrical insulator. As the balloons become charged in the area rubbed against the sweater it makes the balloons start to repel one another due to their charges.
The electric field of a point charge ( Q ) is given by ´ E = k Q r 2 ^ r Where k is Coulomb’s constant, r is the distance from the charge, and ^ r is a unit vector specifying the direction from the point charge to where the field is being evaluated. Procedure and Analysis 1. Drag a +1nC charge and place it in the middle of the screen. Arrows representing the electric field due to the charge will be displayed. The arrows point in the direction of the field and their brigtness incidates its strength. The brighter the arrow the stronger the field. Describe the electric field lines surrounding the point charge and explain their behavior in terms of the equation for the electric field. 2. Replace the +1nC charge with a -1nC charge and Describe the electric field lines surrounding the point charge. Explain their behavior in terms of the equation for the electric field. 3. Remove the -1nC charge. Turn of the electric field display and turn on the grid and values diplays. Place a +1nC charge on the last major grid intersection toward the left of the screen. Place a sensor at the first major intersection to the right of the charge. The electrical lines will move away from the positive charges. This allows the magnitude of the electrical field to decreases with an increase in distance. The electric field lines will move towards the negative charges. This allows for the magnitude of the electrical field to increase with a decrease in distance.
Recod the value of the field (E 1 ) in the table below. Move the sensor to the second major intersection and again record the value of the field (E 2 ). Do this for the next 4 major intersection positions (E 3 E 6 ). Electric Field (V/m) E 1 E 2 E 3 E 4 E 5 E 6 Electric Field 36.2 9.48 3.91 2.26 1.49 1.01 Ratio: E n /E 1 1 .26 0.11 0.0625 0.04 0.028 (for the Ratio, calculate E1/E1, E2/E1, E3/E1, E4/E1, /E5/E1, and E6/E1) Take the ratios of the various electric fields to that closest to the charge and record in the table. Expalin why the ratios behave the way the do below. 4. Remove the +1nC charge and the sensor. Place a +1nC charge, centered vertically, at the fourth major grid intersection left from the center. Place a -1nC charge, centered vertically at the fourth major grid intersection right of the center. Center E 3 E 6 E 5 E 4 E 2 E 1 The ratios above behave the way they due as they are based off of the first electric field so the ratio of the following electric fields will be lower due to the first electric field always being higher than the rest.
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Set the display to show the electric field lines. Describe below the shape of the electric field in particular noting where the field lines originate, where they terminate, and where the electric field is strongest. 5. In the simulation turn off the electric field display. Each major grid block measures a distance of 50 cm per side. Using the center between the charges as the origin this places the +1nC charge at x = -2m and the -1nC charge at x = 2m. Place an electric field sensor at positions (0 m, 0 m), (1 m, 0 m), (0 m, 1 m), (-1 m, 1 m) and record the magnitudes and directions of the field in the table below. The electrical field lines originate from the positive charge and will terminate at the negative charge. The electrical field will also be at its highest when it approaches the end of both charges.
Measured Dipole Electric Field Position Magnitude (N/C) Direction (deg) (0 m, 0 m) 4.53 -0.1 (1 m, 0 m) 9.91 -0.9 (0 m, 1 m) 3.22 -1.0 (-1 m, 1 m) 4.94 36.3 Show ALL your work not just the answers for full credit: Question: 1. which of the following electric field lines are incorrect for point charges? Explain why. Incorrect: The field lines do not originate from the negative charge. They extend to them. Correct: The field lines originate from the positive charges and will be distributes uniformly for a charge system. Incorrect: The field lines can not have more than one direction meaning that they cannot nor should not intersect. Incorrect: The number of field lines shown shows that the density is proportional to the strength. The field lines should be more uniformed around the charge. Correct: The field lines originate from the positive charge or infinity, and extend to the negative charge.
Question: 2. What is the electric field of a proton at the first Bohr orbit for hydrogen ( r = 5.29 ´ 10 - 11 m)? Also sketch the diagram Question3. Two point charges, q 1 = 2.0 ´ 10 –7 C and q 2 = –6.0 ´ 10 –8 C, are held 25.0 cm apart. What is the electric field at a point 5.0 cm from the negative charge and along the line between the two charges? Summary and conclusions (describe what you learn from animation and basic principles studied in this lab) (8 points) Throughout this lab we looked and learned about the concepts of both the electric field and the electric field lines. Both charges, positive and negative, produce and electric field at every point in space when either or both are present. The electric field lines will begin at a positive charge and will typically end at a negative charge. Therefore, we now know where electric field lines originate from (positive charge and terminate at (negative charge.)
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