21.82 •• CP A small sphere with mass m carries a positive charge q and is attached to one end of a silk fiber of length L. The other end of the fiber is attached to a large vertical insulating sheet that has a positive surface charge density o. Show that when the sphere is in equilibrium, the fiber makes an angle equal to arctan (qo/2mg€0) with the vertical sheet.

21.82 •• CP A small sphere with mass m carries a positive charge q and is attached to one end of a silk fiber of length L. The other end of the fiber is attached to a large vertical insulating sheet that has a positive surface charge density o. Show that when the sphere is in equilibrium, the fiber makes an angle equal to arctan (qo/2mg€0) with the vertical sheet.

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)...

See similar textbooks

Similar questions

Opgave 25.32: (a) A sheet with charge Q uniformly distributed over its area A is surrounded by a dielectric. Show that the sheet creates a uniform electric field at nearby points and derive an expression for the magnitude of the field. (b) Two large sheets of area A, carrying opposite charges of equal magnitude Q, are a small distance d apart. Show that they create a uniform electric field in the space between them and derive an expression for the magnitude of the field. (c) Assume the negative plate is at zero potential. Derive an expression for the potential at the positive plate. (d) Derive an expression for the capacitance of the pair of plates.
What amount of energy does it take to assemble a charge configuration consisting of 3 points charges all with a charge of q=6.75 *10^-6 C that are to be arranged into a straight line seperated consecutively by x=0.163 meters?
A charge Q1 = 1.33 μC is at rest and is located 2.30 cm away from another fixed charge Q2 = 1.85 μC. The first charge is then released. Calculate the kinetic energy of charge Q1 when it is 5.00 cm away from charge Q2.
Consider an object of mass 41.8 kg. Now imagine taking all the protons out of the object and stuffing them into a box. Also take all the electrons out of the object and stuff them in a second box. How much charge is contained in the box with all the protons? 8.00E+09 C 1.00E+09 C 2.00E+09 C 4.00E+09 C
A particle (charge = 6.1 μC) is released from rest at a point x = 19.3 cm. If a 78.1-μC charge is held fixed at the origin, what is the kinetic energy of the particle after it has moved 98.2 cm?
sta ✓ • È = Ex (x, y) = 1/2 7 + E₂ (x,y) ŷ 3x What is the charge distribution p(x,y)?
Two red blood cells each have a mass of 5.05 × 10-¹4 kg and carry a negative charge spread uniformly over their surfaces. The repulsion arising from the excess charge prevents the cells from clumping together. Once cell carries -2.60 pC of charge and the other -2.70 pC, and each cell can be modeled as a sphere 8.20 µm in diameter. What minimum relative speed u would the red blood cells need when very far away from each other to get close enough to just touch? Ignore viscous drag from the surrounding liquid. V = What is the magnitude of the maximum acceleration amax of each cell? Cmax = m/s m/s²
An electron starts from rest 21.0 cm from a fixed point charge with Q = -5.50 nC . How fast will the electron be moving when it is very far away? Express your answer with the appropriate units.
A particle (charge = 3 µC) is released from rest at a point x %3D = 11.4 cm. If a 61.1-µC charge is held fixed at the origin, what is the kinetic energy of the particle after it has moved 94.1 cm? Round your answer to 2 decimal places.
A molecule of DNA (deoxyribonucleic acid) is 2.19 um long. The ends of the molecule become singly ionized: negative on one end, positive on the other. The helical molecule acts like a spring and compresses 1.14% upon becoming charged. Determine the effective spring constant of the molecule. N/m
A particle of charge +7.3 µC is released from rest at the point x = 79 cm on an x axis. The particle begins to move due to the presence of a charge Q that remains fixed at the origin. What is the kinetic energy of the particle at the instant it has moved 40 cm if (a)Q=+38 µC and (b)Q--38 µC? (a) Number: (b) Number Units Units
NEW General HI Q Q ↓ Close 5. The figure shows a charged dielectric sphere centered at the origin and touches an infinite line of charges at x=4 m. The charged line extends along the z-axes as shown. Find the magnitude of the electric field (in N/C) at x=3 m. z (m) y (m) Q= 10 nC X=4 m X (m). Infinite line charge with A= 4 nC/m A) 3.22 B) 50.1 C) 72 D) 67.8 E) 4.2 Image 11:36 AM 6185 Sunny 4× DEU 13