Question 5: Consider the following situation:A ring of radius R is centered on the x axis a distance l from theorigin. The ring has a uniform electric charge density per unit lengthd, d > 0.Show that the electric filed at a location on the x axis, a distance lfrom the origin comes out to beĒ =2nkeAlR(?+ R?}3/2Hint: You will need to set up an integration for this problem.

Answered: Show that the electric filed at a…

Show that the electric filed at a location on the x axis, a distance l from the origin comes out to be 2nkeR =- (P+R2)3/2

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 86AP: Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

Expert Solution

Step 1

Analyze the following figure.

The electric field’s components in the Z direction will get cancel out due to the symmetry of the ring. Thus, the net electric field at P is only due to the field’s X-components.

The electric field at the point P can be represented as,

Here, k_e, dq, x, and θ represent the Coulomb’s law constant, the small charge, the point’s distance from the line element, and the angle that the electric field makes with X-axis, respectively.

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