ro/3 Po ro A A sphere of Radius 7, carries a constant volume charge density P, as seen in the figure. A spherical cavity of radius ro,/3 is then scooped out and left empty as shown in the figure. What is the electric field vector at point A that has a distance of rɔ /2 from the center (O) of the big sphere? 25Poro а) 146E0 24Poro î b) 450€0 Poro c) 125€0 150poro d) 644E0 139Poľo e) 882ɛ,

ro/3 Po ro A A sphere of Radius 7, carries a constant volume charge density P, as seen in the figure. A spherical cavity of radius ro,/3 is then scooped out and left empty as shown in the figure. What is the electric field vector at point A that has a distance of rɔ /2 from the center (O) of the big sphere? 25Poro а) 146E0 24Poro î b) 450€0 Poro c) 125€0 150poro d) 644E0 139Poľo e) 882ɛ,

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 22P: Find the electric flux through a rectangular area 3 cm x 2 cm between parallel plates where there is...

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Find the electric flux through a rectangular area 3 cm x 2 cm between parallel plates where there is a constant electric field of 30 N/C for the following orientations of the area: (a) parallel to the plates, (b) perpendicular to the plates, and (c) the normal to the area making a 300 angle with the direction of the electric field. Note that this angle can also be given as 180o + 30o.
The net electric flux crossing a closed surface is always zero. True or false?
Is the term in Gauss's law the electric field produced by just the charge inside the Gaussian surface?
Figure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a half-circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P, by what factor is the magnitude of the electric field at P multiplied?
An infinitely thin ring has an inner radius "a" and an outer radius "b" is placed on xy-planeas shown below. If the surface charge density on the ring isp0, find the electric field intensityat a point on the z-axis.
A solid insulating sphere of radius 0.07 m carries a total charge of 25 uC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12 m and outer radius of 0.18 m, and carrying total charge of -54 uC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the follwing distances from the center of the two spheres and shell: (b) 0.05 m, (c) 0.10 m, (d) 0.15 m, and (e) 0.25 m.
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A uniform volume charge distribution ρv=5 (nC/m3) exists in a sphere that has a radius of a=3 cm. What is the magnitude of the electric field intensity at a distance R=4 cm? (Use Gauss’s Law)
A solid insulating sphere of radius 0.07 m carries a total charge of 25uC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12m and outer radius of 0.18m, and carrying a total charge of -54uC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the following distance from the center tf the two spheres and shells: (b) 0.05m, (c) 0.10m (d) 0.15m and (e) .25m
Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol. Using Gauss's Law: (contour integral E with rightwards harpoon with barb upwards on top) * (stack d A with rightwards harpoon with barb upwards on top) = ___________ /epsilon0 EA = ___________ / epsilon0 Since, its the line charge we use the area of a cylinder surrounding the line charge E*2pi ___________ L= ___________ / epsilon0 But all the charged get enclosed by the cylinder area, so qenc = Q Deriving, we get: E = (1/2(pi*epsilon0))*(___________ /rL) **see picture for the symbols used
A semicircle ofradius a is in the first and secondquadrants, with the center of curvatureat the origin. Positive charge+Q is distributed uniformly aroundthe left half of the semicircle, andnegative charge -Q is distributeduniformly around the right half ofthe semicircle (Fig. ). Whatare the magnitude and direction of the net electric field at the originproduced by this distribution of charge?
A charge distribution that is spherically symmetric but not uniform radially produces an electric field of magnitude E = Kr4, directed radially outward from the center of the sphere. Here r is the radial distance from that center, and K is a constant.What is the volume density r of the charge distribution?