### Problem Statement**Diagram Description:**The diagram is of a hollow truncated cone oriented along the x-axis. The larger base of the cone is located at \( x = -L \) and the smaller base is located at \( x = H \). The x-axis goes through the center of both bases of the truncated cone.- The y-axis is perpendicular to the x-axis.- Several parallel and co-axial circles are shown indicating cross-sections of the hollow cone.- Key dimensions indicated in the diagram are: - \( -c \) to \( c \) along the y-axis - \( -b \) to \( b \) along the y-axis - \( -a \) to \( a \) along the y-axis- A thinner hollow section is noted within the truncated cone, indicated by dashed lines.The parameter \(\rho\) represents the resistivity of the material.**Task:**Assuming an electric current flows from left to right along the x-axis, find an expression for the resistance of this hollow truncated cone in terms of \( a, b, c, L, H\) and \(\rho\). The x-axis is through the center of the circles and is perpendicular to the base at \( x = -L \). To receive credit, include all the steps of the calculation, including the integral.**Procedure:**1. **Understand the Geometry**: The resistance calculation involves understanding the changes in cross-sectional area as a function of the position \( x \) along the cone. 2. **Set Up the Integral**: Since resistivity \(\rho\) typically relates to resistance \( R \) through geometry, we must account for the varying cross-sectional area.3. **Expression for Cross-Sectional Area**: Formulate the area at any point \( x \).4. **Integrate Resistivity**: Use the integral form to calculate the total resistance, combining geometry and material properties.Ensure to:- Include the volume limit of integration from \( -L \) to \( H \).- Derive and show the integral being used.- Simplify the expression to relate it to the given parameters.

In these type of problems resistance is calculated using formula: R = ρL/A But in this problem this…

Assuming an electric current from left to right, find an expression for the resistance of this hollow truncated cone in terms of a, b, c, L, H, and rho. The x-axis goes through the center of the circles and is perpendicular to the base and the surface at x = -L. You must show ALL the steps, including the integral, to get credit.

Assuming an electric current from left to right, find an expression for the resistance of this hollow truncated cone in terms of a, b, c, L, H, and rho. The x-axis goes through the center of the circles and is perpendicular to the base and the surface at x = -L. You must show ALL the steps, including the integral, to get credit.

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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