GO Figure 22-40 shows a proton (р) on the central axis through a disk with a uniform charge density due to excess electrons. The disk is seen from an edge-on view. Three of those electrons are shown: electron e c at the disk center and electrons e s at opposite sides of the disk, at radius R from the center. The proton is initially at distance z = R = 2.00 cm from the disk. At that location, what are the magnitudes of (a) the electric field E c → due to electron e c and (b) the net electric field E → s , net due to electrons e s ? The proton is then moved to z = R /10.0. What then are the magnitudes of (с) E c → and (d) E → s , net at the proton's location? (e) From (a) and (c) we see that as the proton gets nearer to the disk, the magnitude of E c → increases, as expected. Why does the magnitude of E → s , net from the two side electrons decrease, as we see from (b) and (d)? Figure 22-40 Problem 13.
GO Figure 22-40 shows a proton (р) on the central axis through a disk with a uniform charge density due to excess electrons. The disk is seen from an edge-on view. Three of those electrons are shown: electron e c at the disk center and electrons e s at opposite sides of the disk, at radius R from the center. The proton is initially at distance z = R = 2.00 cm from the disk. At that location, what are the magnitudes of (a) the electric field E c → due to electron e c and (b) the net electric field E → s , net due to electrons e s ? The proton is then moved to z = R /10.0. What then are the magnitudes of (с) E c → and (d) E → s , net at the proton's location? (e) From (a) and (c) we see that as the proton gets nearer to the disk, the magnitude of E c → increases, as expected. Why does the magnitude of E → s , net from the two side electrons decrease, as we see from (b) and (d)? Figure 22-40 Problem 13.
GO Figure 22-40 shows a proton (р) on the central axis through a disk with a uniform charge density due to excess electrons. The disk is seen from an edge-on view. Three of those electrons are shown: electron ec at the disk center and electrons es at opposite sides of the disk, at radius R from the center. The proton is initially at distance z = R = 2.00 cm from the disk. At that location, what are the magnitudes of (a) the electric field
E
c
→
due to electron ec and (b) the net electric field
E
→
s
,
net
due to electrons es? The proton is then moved to z = R/10.0. What then are the magnitudes of (с)
E
c
→
and (d)
E
→
s
,
net
at the proton's location? (e) From (a) and (c) we see that as the proton gets nearer to the disk, the magnitude of
E
c
→
increases, as expected. Why does the magnitude of
E
→
s
,
net
from the two side electrons decrease, as we see from (b) and (d)?
The figure shows a proton (p) on the central axis through a disk with a uniform charge density due to excess electrons. Three of those electrons are shown: ec at the disk center and electrons es at opposite sides of the disk, at radius R = 1.49 cm from the center. The proton is initially at distance z = R = 1.49 cm from the disk. At that location, what are the magnitudes of (a) the electric field E→c due to the electron ec and (b) the net electric field E→s,net due to electrons es? The proton is then moved to z = R/10.0. What then are the magnitudes of (c)E→c and (d) E→s,net? Note that the magnitude of E→c increases while the magnitude of E→s,net decreases.
In the figure an electron (e) is to be released from rest on the central axis of a uniformly charged disk of radius R. The surface charge
density on the disk is +4.04 µC/m². What is the magnitude of the electron's initial acceleration if it is released at a distance (a) R, (b)
R/144, and (c) R/1020 from the center of the disk?
A charged nonconducting rod has a length L of 2.0 m and a cross-sectional area A of 8.0
cm?; it is placed along the positive side of an x axis with one end at the origin. The
volume charge density p is the charge per unit volume, with the units of coulomb per
cubic meter.
a) How many excess electrons are on the rod if the rod's volume charge density pu is
uniform with a value of –10 µC/m³? How does that compare to the total number of
electrons you would estimate would be in the rod? (By compare, just a ballpark estimate-
to within several orders of magnitude, factors of ten).
b) What is an expression for the number of excess electrons on the rod if the rod's
volume charge is nonuniform and is given instead by pN=ax³ where a is a constant?
c) What value of a is necessary for the rod in part b to have the same number of excess
electrons as the rod in part a)?
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.