A thin ring of radius R carries a uniform charge Q (assumed positive) as shown. 11. Find an expression for the electrostatic potential along the z-axis, V(z). 12. Now find the electric field along the z-axis and show that you get correct results when you set z=0 and when z is large (but not infinite). 13. Now assume a positive point charge Q starts at rest from the center of the ring and is given a slight nudge in the z direction. Find an expression for its speed when it is far from the ring. R

A thin ring of radius R carries a uniform charge Q (assumed positive) as shown. 11. Find an expression for the electrostatic potential along the z-axis, V(z). 12. Now find the electric field along the z-axis and show that you get correct results when you set z=0 and when z is large (but not infinite). 13. Now assume a positive point charge Q starts at rest from the center of the ring and is given a slight nudge in the z direction. Find an expression for its speed when it is far from the ring. R

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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Question

questions 11 and 12

A thin ring of radius R carries a uniform charge Q (assumed positive) as shown.
11. Find an expression for the electrostatic potential along the z-axis, V(z).
12. Now find the electric field along the z-axis and show that you get correct results
when you set z=0 and when z is large (but not infinite).
13. Now assume a positive point charge Q starts at rest from the center of the ring
and is given a slight nudge in the z direction. Find an expression for its speed when
it is far from the ring.
14. Instead of a charged ring, consider current I flowing clockwise from the point of
Hoi ds x ô
view of P. Using the Biot-Savart Law, dB =
find the magnetic field
along the z-axis.

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