Electricity & MagnetismIntermediate

Coulomb's Law

Investigate Coulomb's law by observing electrostatic attraction/repulsion and the dependence of force on charges and distance.

Duration: 90 min
5 Topics
Electrostatic ForceElectric ChargesInverse Square LawCoulomb's ConstantData Analysis

Lab Details

Title: Lab1: Coulomb's Law

Level: Sophomore

Institution: SMU, MedTech, Mediterranean Institute of Technology

Term: Fall 2023 / Fall 2024

Learning Objectives

  • Verify proportionality of electrostatic force with product of charges
  • Verify inverse-square dependence with distance
  • Estimate Coulomb's constant from experimental slope
  • Compare measured and theoretical Coulomb constants

Interactive Simulation

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Lab Assessment

Complete the following questions based on your observations from the simulation.

1

Table 1: Fixed Distance, Changing Charge

IV.1Table filling
Run experiment IV.1 and complete data results table.

Table 1: Fixed Distance, Changing Charge

*(8 points)
Run experiment IV.1 and complete data results table.
Record all measured values for fixed distance while varying charge.
q1 (C)q2 (C)Distance r (m)Force F21 (N)
2

Effect of Doubling q2q_2

IV.2.1Multiple Choice / Explanation
What happens to F21F_{21} when q2q_2 is doubled while q1q_1 is constant?

Effect of Doubling q2q_2

*(5 points)
What happens to F21F_{21} when q2q_2 is doubled while q1q_1 is constant?
Select answer and justify with data/theory.
3

Effect of Reducing q1q_1 by Factor 3

IV.2.2Multiple Choice / Explanation
If q2q_2 is constant and q1q_1 is reduced by factor 3, what happens to F21F_{21}?

Effect of Reducing q1q_1 by Factor 3

*(5 points)
If q2q_2 is constant and q1q_1 is reduced by factor 3, what happens to F21F_{21}?
Provide justified conclusion from data.
4

Table 2: Fixed Charge, Changing Distance

V.1Table filling
Run experiment V.1 and complete data results table.

Table 2: Fixed Charge, Changing Distance

*(8 points)
Run experiment V.1 and complete data results table.
Record values while varying distance with fixed charges.
q1q_1 (C)q2q_2 (C)Distance rr (m)1/r21/r^2 (m2m^{-2})Force F12F_{12} (N)
5

FeF_e vs Distance Relationship

V.2.1Multiple Choice / Checkbox
Describe the relationship between electrostatic force FeF_e and distance rr.

FeF_e vs Distance Relationship

*(4 points)
Describe the relationship between electrostatic force FeF_e and distance rr.
Support answer using Table 2 trends.
6

Graph: rr vs F12F_{12}

V.2.2Graphing / Open-ended
Plot points (X=r,Y=F12)(X=r, Y=F_{12}), add legend, and comment graph.

Graph: rr vs F12F_{12}

*(6 points)
Plot points (X=r,Y=F12)(X=r, Y=F_{12}), add legend, and comment graph.
Use Table 2 columns 4 and 6 values.
Electrostatic Force vs Distance
F12F_{12} (N)
Left click: add point • Wheel: zoom • Right drag: pan
x: -, y: -
rr (m)
7

Graph: 1/r21/r^2 vs F12F_{12}

V.2.3Graphing / Open-ended
Plot points (X=1/r2,Y=F12)(X=1/r^2, Y=F_{12}), add legend, and comment graph.

Graph: 1/r21/r^2 vs F12F_{12}

*(6 points)
Plot points (X=1/r2,Y=F12)(X=1/r^2, Y=F_{12}), add legend, and comment graph.
Use Table 2 columns 5 and 6 values.
Electrostatic Force vs Inverse-Square Distance
F12F_{12} (N)
Left click: add point • Wheel: zoom • Right drag: pan
x: -, y: -
1/r21/r^2 (m2m^{-2})
8

Slope and Coulomb Constant

V.2.4Open-ended / Calculation
Measure the slope of the curve and deduce Coulomb constant KcK_c.

Slope and Coulomb Constant

*(7 points)
Measure the slope of the curve and deduce Coulomb constant KcK_c.
Show method and final value.
9

kmeask_{meas} vs ktheok_{theo} Comparison

V.2.5Open-ended / Calculation
Compare experimental Coulomb constant with theoretical value and compute percent error.

kmeask_{meas} vs ktheok_{theo} Comparison

*(7 points)
Compare experimental Coulomb constant with theoretical value and compute percent error.
Provide numerical comparison and interpretation.
10

Conclusion

ConclusionOpen-ended / Explanation
What did you learn from studying Coulomb's Law?

Conclusion

*(8 points)
What did you learn from studying Coulomb's Law?
Include: attractive/repulsive behavior, effect of distance, effect of charge, and Newton's third law.

Lab Instructions

1

Explore the Interface

Familiarize yourself with the simulation controls and available parameters.

2

Experiment with Variables

Modify different parameters and observe how they affect the system behavior.

3

Record Observations

Take note of patterns, relationships, and any unexpected results.

4

Test Your Understanding

Try to predict outcomes before running experiments to test your comprehension.

Tips for Success

Start Simple

Begin with basic scenarios before exploring more complex situations.

Take Notes

Document your findings and any questions that arise during experimentation.

Repeat Experiments

Don't hesitate to repeat experiments with different parameters to verify results.

Ask Questions

Use unexpected results as learning opportunities to deepen your understanding.

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