**Problem Statement:**Copper and aluminum are being considered for a high-voltage transmission line that must carry a current of 68.9 A. The resistance per unit length is to be 0.132 Ω/km. The densities of copper and aluminum are 8960 and 2600 kg/m³, respectively. Compute the following:(a) The magnitude \( J \) of the current density for a copper cable.(b) The mass per unit length \( \lambda \) for a copper cable.(c) The magnitude \( J \) of the current density for an aluminum cable.(d) The mass per unit length \( \lambda \) for an aluminum cable.**Inputs for Your Calculations:**(a) \[\text{Number}\]Units [ _select units_ ](b) \[\text{Number}\]Units [ _select units_ ](c) \[\text{Number}\]Units [ _select units_ ](d) \[\text{Number}\]Units [ _select units_ ]**Explanation:**In mathematical terms, the current density \( J \) is given by the formula:\[ J = \frac{I}{A} \]where:- \( I \) is the current (68.9 A in this case).- \( A \) is the cross-sectional area of the cable.Furthermore, the mass per unit length \( \lambda \) is determined by:\[ \lambda = \rho \cdot A \]where:- \( \rho \) is the density of the material.- \( A \) is the cross-sectional area of the cable, which can be derived from the resistance and the electrical properties of the materials, using:\[ R = \frac{\rho_{\text{electrical}} \cdot l}{A} \]where:- \( \rho_{\text{electrical}} \) is the resistivity of the material.- \( l \) is the length of the cable.- \( R \) is the resistance per unit length (0.132 Ω/km).Make sure to use appropriate units and conversion factors in your calculations. **Note:**There are no graphs or diagrams in this image. The problem requires performing a series of calculations with the information provided.

Current in copper and aluminum i=68.9 AResistance per unit length of both material is Density of…

Copper and aluminum are being considered for a high-voltage transmission line that must carry a current of 68.9 A. The resistance per unit length is to be 0.132 0/km. The densities of copper and aluminum are 8960 and 2600 kg/m³, respectively. Compute (a) the magnitude J of the current density and (b) the mass per unit length À for a copper cable and (c) J and (d) À for an aluminum cable. (a) Number i (b) Number i IN (c) Number (d) Number i Units Units Units Units

Copper and aluminum are being considered for a high-voltage transmission line that must carry a current of 68.9 A. The resistance per unit length is to be 0.132 0/km. The densities of copper and aluminum are 8960 and 2600 kg/m³, respectively. Compute (a) the magnitude J of the current density and (b) the mass per unit length À for a copper cable and (c) J and (d) À for an aluminum cable. (a) Number i (b) Number i IN (c) Number (d) Number i Units Units Units Units

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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