Sheet 1 Part 1: Potential Between Charged Parallel Plates ✓ Solved

Sheet1 Part 1: Potential between charged, parallel plates (V)

Part 1: Potential between charged, parallel plates (V) Probe Coordinates (cm) .65 1.88 2.18 2.44 2.72 2.96 3.23 3.55 3.79 4.13 4.49 1.72 2.08 2.36 2.67 2.99 3.28 3.55 3.87 4.20 4.42 1.65 1.97 2.32 2.64 2.93 3.28 3.61 3.93 4.25 4.41 1.64 1.99 2.29 2.68 3.00 3.33 3.65 3.97 4.29 4.40 1.65 1.96 2.28 2.52 3.06 3.35 3.65 3.97 4.25 4.41 1.69 2.02 2.30 2.52 3.04 3.33 3.63 3.95 4.21 4.44 1.08 2.05 2.35 2.50 2.96 3.27 3.54 3.90 4.18 4.50 1.82 2.11 2.40 2.57 2.95 3.23 3.51 3.80 4.12 4.52

Part 2: Potential around charged line (V) Probe Coordinates (cm) 0.00 0.00 0.00 0.00 1.22 1.21 1.30 0.00 0.00 0.00 0.00 0.00 1.21 1.31 1.37 1.40 1.52 1.43 1.32 0.00 0.00 1.20 1.31 1.45 1.57 1.63 1.72 1.62 1.46 1.26 0.00 1.27 1.42 1.62 1.85 1.99 2.01 1.82 1.58 1.40 0.16 1.37 1.53 1.83 2.30 2.65 2.42 1.99 1.67 1.45 1.19 1.36 1.57 1.92 2.67 4.66 2.74 2.08 1.70 1.46 1.19 1.34 1.52 1.82 2.28 2.75 2.39 1.96 1.64 1.43 1.00 1.26 1.43 1.64 1.87 2.07 1.95 1.76 1.52 1.33 0.00 1.18 1.29 1.45 1.58 1.72 1.66 1.52 1.37 1.21 0.00 0.00 1.16 1.24 1.35 1.48 1.43 1.35 1.22 0.00 0.00 0.00 0.00 0.00 1.16 1.28 1.24 0.00 0.00 0.00 0.00

Part 3: Potential difference between charged line and grounded ring (V) Δl (cm) 1.3 ΔV outside lowest potential (V) 0.03 of ring (V) highest potential (V) 1.01 0.01 radius r (cm) ΔV (V) 2 2.54 by B.H. and B.C.

Paper For Above Instructions

The potential between charged parallel plates and around charged wires is an essential element of electrostatics in physics. Understanding the electric potential difference created by charged bodies is vital for practical applications in electronics and physics. In this context, one can analyze the raw data obtained from experiments involving charged plates and lines, which shall be further discussed below.

Part 1: Potential Between Charged Parallel Plates

The potential \( V \) between charged parallel plates is determined by the distribution of electric field strength within the region between the plates. The electric field \( E \) is assumed to be uniform, defined as:

V = E · d

Where \( d \) is the distance between the plates. The data collected shows various measurements at particular coordinates that can be mapped to derive the potential differences across these plates.

Values taken from the experiments highlight the coordinates and corresponding voltages, which display a linear relationship aligning with the principal prediction by classical theory. For instance, the voltages increase as the distance from the negative plate decreases, providing clear evidence of the established electrostatic field.

Part 2: Potential Around Charged Line

The potential \( V \) around a charged line can be derived using the principle that the electric potential diminishes with distance from the line. The calculated potential \( V \) at various coordinates recorded mirrors the expected decrease with increased distance from the charged line. The experiment employed a systematic approach to measure the voltage at specific distances from the charged conductor, leading to important insights into the nature of the electric field generated around it.

Part 3: Potential Difference Between Charged Line and Grounded Ring

The potential difference \( \Delta V \) between a charged line and a grounded ring can be computed using the prescribed parameters of the experiment. Finding the ΔV provides invaluable information to understand the electrostatics involved in real-life applications, such as circuit design and various electrical equipment. In this part of the study, the data displays how the potentials interact, establishing grounding's critical role in maintaining circuit safety and functionality.

Discussion

Based on the collected data and the analysis above, it is clear that there are significant relationships between the shapes and characteristics of electric fields generated by charged bodies. These experiments indicate the theoretical frameworks are valid, and the linear relationships explored align with the established properties of electrostatics. Such knowledge is not only academic but plays a crucial role in the advancements in technology and engineering.

Future Work

This research can be expanded by investigating potential variations in non-uniform electric fields and examining the behaviors under dynamic conditions, including the application of alternating current sources. The ongoing evolution in fields such as material science may bring about new insights that challenge or refine current electrostatic theories.

References

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