from the slope in part two, calculate b -local. r = 1.5cm ### Lab 6: Measuring Earth's Magnetism#### Part IIBelow is the data for current (I) in Amps (A) and the corresponding change in angle (delta theta) in degrees:| **I (A)** | **delta theta (°)** ||---|---|| 0.18 | 10 || 0.37 | 20 || 0.54 | 30 || 0.81 | 40 || 0.95 | 45 |#### Part IIIThe following data shows the radius (r) in centimeters (cm) and the respective change in angle (delta theta) in degrees:| **r (cm)** | **delta theta (°)** ||---|---|| 4.5 | 12 || 5.5 | 10 || 6.5 | 8 |### Graphical Analysis1. **Straight Current** - This graph plots delta theta (°) on the y-axis and the values corresponding to different currents (I in A) on the x-axis. - The linear trendline equation for the plot is y = 9.2857x - 8.3333, with R² = 0.9922, indicating a strong correlation between the current (I) and the change in angle (delta theta).2. **Fixed Current** - This graph represents delta theta (°) on the y-axis against the radius (r in cm) on the x-axis. - The linear trendline for this plot is y = 0.6x - 2.8, with R² = 1, denoting a perfect linear relationship between the radius (r) and the change in angle (delta theta).These graphs are integrated into the Excel sheet to provide visual insights and trends within the collected data. The calculated trendlines and R² values are essential for understanding the relation between the variables under study. **Magnetic Field and Current Relationship**The equation provided represents the relationship between the angle of deflection (Δθ) and the magnetic field produced by a current-carrying conductor. This expression can be utilized in the study of Ampere's Law and the Biot-Savart Law within the context of electromagnetism. \[\tan(\Delta \theta) = \frac{\mu_0}{2 \pi r B_{local}} I\]**Explanation of Variables:**- **\(\tan(\Delta \theta)\)**: The tangent of the angle of deflection. This represents the change in direction of the magnetic field lines around a current-carrying conductor.- **\(\mu_0\)**: The permeability of free space, a constant value, \(\mu_0 = 4\pi \times 10^{-7} \, \mathrm{N/A^2}\) (or T·m/A), which relates the magnetic field in a vacuum to the current producing it.- **\(r\)**: The distance from the wire to the point where the magnetic field is being measured.- **\(B_{local}\)**: The magnetic flux density at the point of measurement.- **\(I\)**: The electric current flowing through the wire.This equation indicates that the magnetic field \(B_{local}\) around a conductor is directly proportional to the current \(I\) and inversely proportional to the distance \(r\) from the conductor.Understanding this relationship helps in the design and analysis of electric and magnetic systems, including electromagnets, transformers, and inductors.

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Answered: from the slope in part two, calculate b…

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Physics

from the slope in part two, calculate b -local. r = 1.5cm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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