radius R (uniformly distributed) are located at z = R and z =-R and have the same (z) axis.(a)Find expressions for the total electric potential at the origin (z = 0), at the center of the ring atz = R, and at a point on the z axis a distancefrom the origin, where 0 < z< R.(b)A small bead of mass m with charge q is threaded on a frictionless string along the z axis. If thebead is released from rest at z,will it move toward the origin or toward the ring at z = R?(c)Find an expression for the speed of the bead as it passes through the point you picked in (b).

Solution: a) charge at the center is = q Potential at center due to this charge element is given…

Answered: (а) Find expressions for the total…

(а) Find expressions for the total electric potential at the origin (z = 0), at the center of the ring at z = R, and at a point on the z axis a distance z, from the origin, where 0

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter16: Electrical Energy And Capacitance

Section16.1: Electric Potential Energy And Electric Potential

Problem 16.2QQ: If a negatively charged particle is placed at rest in an electric potential field that increases in...

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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

radius R (uniformly distributed) are located at z = R and z =-R and have the same (z) axis.
(a)
Find expressions for the total electric potential at the origin (z = 0), at the center of the ring at
z = R, and at a point on the z axis a distance
from the origin, where 0 < z
< R.
(b)
A small bead of mass m with charge q is threaded on a frictionless string along the z axis. If the
bead is released from rest at z,
will it move toward the origin or toward the ring at z = R?
(c)
Find an expression for the speed of the bead as it passes through the point you picked in (b).

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