Question

A plastic disk of radius R = 64.0 cm is charged on one side with a u

Other
ANSWERED
asked 2020-11-11

A plastic disk of radius R = 64.0 cm is charged on one side with a uniform surface charge density \(\displaystyle\sigma={6.28}\ {f}\frac{{C}}{{m}^{{2}}}\), and then three quadrants of the disk are removed. The remaining quadrant is shown in Figure. With V = 0 at infinity, what is the potential dueto the remaining quadrant at point P, which is on thecentral axis of the original disk at a distance D = 25.9cm from the original center?
image

Answers (1)

2020-11-12
Total potential at P due to whole
\(\displaystyle{V}={\left(\frac{\sigma}{{2}}\sigma_{{0}}\right)}{\left(\sigma{R}^{{2}}+{D}^{{2}}\right)}-{D}\sigma\)
\(\displaystyle={6.28}{f}\frac{{C}}{{m}^{{2}}}\)
\(\displaystyle={6.28}\cdot{10}^{{-{15}}}\ \frac{{C}}{{m}^{{2}}}\sigma_{{0}}\)
\(\displaystyle={8.85}\cdot{10}^{{-{12}}}{\frac{{{C}^{{2}}}}{{{N}{m}^{{2}}}}}\)
\(\displaystyle{R}={64}{c}{m}={0.64}{m}\)
\(\displaystyle{D}={25.9}{c}{m}={0.259}{m}\)
PLUG THE VALUES WE GET V
After getting V POTENTIAL DUE TO ONE QUARTER \(\displaystyle={\frac{{{V}}}{{{4}}}}\)
\(\displaystyle={1.357}\cdot{10}^{{-{5}}}\)
0
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours

Relevant Questions

asked 2021-05-20
Assume that a ball of charged particles has a uniformly distributednegative charge density except for a narrow radial tunnel throughits center, from the surface on one side to the surface on the opposite side. Also assume that we can position a proton any where along the tunnel or outside the ball. Let \(\displaystyle{F}_{{R}}\) be the magnitude of the electrostatic force on the proton when it islocated at the ball's surface, at radius R. As a multiple ofR, how far from the surface is there a point where the forcemagnitude is 0.44FR if we move the proton(a) away from the ball and (b) into the tunnel?
asked 2021-05-08
A high-speed sander has a disk 4.00 cm in radius that rotates about its axis at aconstant rate of 1265 rev/min.Determine
(a) the angular speed of the disk in radians persecond,
rad/s
(b) the linear speed of a point 2.2 cmfrom the disk's center,
m/s
(c) the centripetal acceleration of a point on the rim, and
\(\displaystyle\frac{{m}}{{s}^{{{2}}}}\)
(d) the total distance traveled by a point on the rim in1.96 s.
m
asked 2021-04-20
A teenager pushes tangentially on a small hand-drivenmerry-go-round and is able to accelerate it from rest to afrequency of 20 rpm in 8.0s. Assume the merry-go-round is auniform disk of radius 2.0m and has a mass of 600kg, and twochildren (each with a mass of 20kg) sit opposite each other on theedge.
A) Calculate the torque required to produce theacceleration, neglecting frictional torque.
B) What force is required at the edge?
asked 2021-04-13
A fish is swimming in water inside a thin spherical glass bowlof uniform thickness. Assuming the radius of curvature of thebowl is 25cm, locate the image of the fish if the fish is located:(a) at the center of the bowl;
(b) 20.0 cm from the side of the bowl between the observer andthe center of the bowl.
...