For the metal wire hoop in the xy-plane shown below, what is the linear charge density on the wire hoop? And what is the electric potential at the center of the hoop?The hoop carries an electric charge of 15.8 nC. The image depicts a graph of a circle plotted on a Cartesian coordinate system. The circle is centered at (5, 5) with a radius of 5 cm. ### Graph Details:- **Axes**: The horizontal axis is labeled as \( x \) (cm), ranging from 0 to 11 cm. The vertical axis is labeled as \( y \) (cm), ranging from 0 to 11 cm.- **Grid**: The graph features a grid to help visualize the coordinates, with grid lines at each integer value between 0 and 11 on both axes.- **Circle**: The circle is drawn in blue, centered at point (5, 5) on the coordinate plane. It maintains a consistent distance of 5 cm from the center to any point on its circumference, creating a perfect circle.This graph can be used to study the properties of circles in a coordinate system, such as the equation \( (x - 5)^2 + (y - 5)^2 = 25 \), representing a circle with center (5, 5) and radius 5 cm. This visual representation is helpful for educational purposes in mathematics, particularly in geometry and algebra.

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Answered: For the metal wire hoop in the xy-plane…

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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For the metal wire hoop in the xy-plane shown below, what is the linear charge density on the wire hoop? And what is the electric potential at the center of the hoop? The hoop carries an electric charge of 15.8 nC.

The image depicts a graph of a circle plotted on a Cartesian coordinate system. The circle is centered at (5, 5) with a radius of 5 cm.

### Graph Details:
- **Axes**: The horizontal axis is labeled as \( x \) (cm), ranging from 0 to 11 cm. The vertical axis is labeled as \( y \) (cm), ranging from 0 to 11 cm.
- **Grid**: The graph features a grid to help visualize the coordinates, with grid lines at each integer value between 0 and 11 on both axes.
- **Circle**: The circle is drawn in blue, centered at point (5, 5) on the coordinate plane. It maintains a consistent distance of 5 cm from the center to any point on its circumference, creating a perfect circle.

This graph can be used to study the properties of circles in a coordinate system, such as the equation \( (x - 5)^2 + (y - 5)^2 = 25 \), representing a circle with center (5, 5) and radius 5 cm. This visual representation is helpful for educational purposes in mathematics, particularly in geometry and algebra.

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