Please help Example 23.6 Electric field created by a uniformly charged diskA thin disk of radius R carries a uniformly distributed charge.The surface charge density on the disk is o. What is the electricfield at a point P along the perpendicular axis through the diskFigure 23.29center?O GETTING STARTED I begin with a sketch, placing the disk inthe xy plane, with the disk center at the origin. I let point P lie onthe positive z axis (Figure 23.29).dr2 DEVISE PLAN Because of the circular symmetry of the disk,I divide it into a large number of ring-shaped segments, each ofradius r and width dr. The charge on each ring is the product ofthe ring surface area (circumference times width) and the sur-face charge density: dq, = (2Tr)dr o. The contribution of eachR99+QUANTITATIVE TOOLS

Given:- A thin disk of radius R carries a uniformly distributed charge. The surface charge density…

Answered: A thin disk of radius R carries a…

University Physics Volume 2

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Chapter6: Gauss's Law

Section: Chapter Questions

Problem 70P: A point charge q=5.01012 C is placed at the center of a spherical conducting shell of inner radius...

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The electric field everywhere on the surface of a thin, spherical shell of radius 0.750 m is of magnitude 890 N/C and points radially toward the center of the sphere. (a) What is the net charge within the spheres surface? (b) What is the distribution of the charge inside the spherical shell?
(a) If the electric flux through a closed surface is zero, is the electric field necessarily zero at all points on the surface? (b) What is the net charge inside the surface?
A point charge q=5.01012 C is placed at the center of a spherical conducting shell of inner radius 3.5 cm and outer radius 4.0 cm. The electric field just above the surface of the conductor is directed radially outward and has magnitude 8.0 N/C. (a) What is the charge density on the inner surface of the shell? (b) What is the charge density on the outer surface of the shell? (c) What is the net charge on the conductor?
(a) Calculate the electric flux through the open hemispherical surface due to the electric field E =E0k (see below). (b) If the hemisphere is rotated by 90( around the what is the flux through it?
(a) What is the electric field of an oxygen nucleus at a point that is 1010 m from the nucleus? (b) What is the force this electric field exerts on a second oxygen nucleus placed at that point?
Consider an electron that is 1010 m from an alpha particle (q=3.21019C) . (a) What is the electric field due to the alpha particle at the location of the electron? (b) What is the electric field due to the electron at the location of the alpha particle? (c) What is the electric force on the alpha particle? On the electron?
A flat circular loop of with radius R lies in the xy-plane centered at the origin. Its linear charge density is 2 = A cos p. What is the total charge on the loop? b. Calculate the electric field in a point on the z-axis, a distance d above the origin. Find the limit of the electric field as z gets very large compared to R (not infinitely large, E does not become zero). 2. C.
Q2. a. Find the expression for the electric field at P due to a point charge Q at (x1,y₁, Z₁) as shown in Fig. Q2a. P(x, y, z) R е (x2) Fig.Q2a b. Repeat 'a' with the charge placed at the origin and show that symmetry is apparent by expressing the electric field in spherical coordinates.
I A spherical shell has inner radius Rin and outer radius Rout- The shell contains total charge Q, uniformly distributed. The in- terior of the shell is empty of charge and matter. a. Find the electric field outside the shell, r 2 Rout- b. Find the electric field in the interior of the shell, r < Rin- c. Find the electric field within the shell, Ri =rs Rout- d. Show that your solutions match at both the inner and outer boundaries.
I| An early model of the atom, proposed by Rutherford after his discovery of the atomic nucleus, had a positive point charge +Ze (the nucleus) at the center of a sphere of radius R with uniformly distributed negative charge -Ze. Z is the atomic number, the number of protons in the nucleus and the number of electrons in the negative sphere. a. Show that the electric field inside this atom is Ze 1 Ein 4πο R3 b. What is E at the surface of the atom? Is this the expected value? Explain. c. A uranium atom has Z = 92 and R = 0.10 nm. What is the electric field strength at r =R?
В. 100 N/C Which surface, A or B, has the larger electric flux? O Surface A has more flux. O Surface B has more flux. O The fluxes are equal. O It's impossible to say without knowing more about the electric field. A.
There is a large charged metal block in space. What would the electric fields be like in space very close to the surface of the metal? O The electric fields would be parallel to the surface of the block. O The electric fields would be normal to the surface of the block. O There would be no electric fields near the surface.

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