Consider a spherical charge distribution with the total charge Q = 2 pC and radius R=3 cm in which the volume charge density decreases linearly with the distance r from the center of the distribution such that 3Q p = (1-7) TR3 Which of the following gives the magnitude of the electric field at a radial distance r = 4 cm from the center? (Take k = 9 x 10° Nm2/C2.) O 7.2 N/C 3.7N/C 5 N/C 2.8 N/C 11.3 N/C

Consider a spherical charge distribution with the total charge Q = 2 pC and radius R=3 cm in which the volume charge density decreases linearly with the distance r from the center of the distribution such that 3Q p = (1-7) TR3 Which of the following gives the magnitude of the electric field at a radial distance r = 4 cm from the center? (Take k = 9 x 10° Nm2/C2.) O 7.2 N/C 3.7N/C 5 N/C 2.8 N/C 11.3 N/C

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...

See similar textbooks

Similar questions

Consider a spherical charge distribution with the total charge Q= 2 pC and radius R=3 cm in which the volume charge density decreases linearly with the distance r from the center of the distribution such that 3Q TR3 (1-7) Which of the following gives the magnitude of the electric field at a radial distance r =4 cm from the center? (Take k = 9 x 10° Nm2/C2.) O 7.2 N/C 3.7 N/C 5 N/C 2.8 N/C 11.3 N/C Gizle
1 ! 7 A skát с A spherically symmetric charge distribution produces the electric field E=( 5400 r²) N/C, where r is in m. Z mylabmastering.pearson.com/?courseld=12649908&key=55673220682936520262024#/ 2 pos W S X 3 20 F3 E D $ 4 C 888 R F What is the electric field strength at r= 16.0 cm ? Express your answer in newtons per coulomb. VG ΑΣΦ 4 Submit Part B Submit Part C What is the electric flux through a 32.0-cm-diameter spherical surface that is concentric with the charge distribution? Express your answer in newton meters squared per coulomb. ΕΠΙ ΑΣΦ % [VG| ΑΣΦ 5 Request Answer V FO Request Answer T How much charge is inside this 32.0-cm-diameter spherical surface? Express your answer in coulombs. G 4 a ^ 6 C 244 MacBook Air Y B SMC & ? 7 H ? N/C 80 F7 N-m²/C U C N H 8 - DII FS 1 ( 9 M DD K chegg.com X C ☆ O O MOSISO O 4 P
The volume charge density of a spherically charged cloud changes with the distance to the cloud center as p(r) = po r a " where the parameters are po 1.85 nC/m³ and a = 22 m. Find the magnitude of electric field at distance d = 25 m from the cloud center. The electric field, E(r = 25 m) = 1484.65 Find the electric field (in N/C) as a function of r (in m). Do not submit the units. The electric field, E(r) = 1484.65 N/C. = Units N/C
Determine the volume charge density, in pC/m3, at (3, -8, -2) if the electric field present in the region is E = sin (3 x + 2 y + 3 z) V/m. All coordinates are measured in meters.
Given that D = zpcos?o a, C/m², calculate the charge density at (1, 7/4, 3) and the total charge enclosed by the cylinder of radius 1 m with z from -2 m to 2 m.
Consider a thin rod which has a uniformly distributed charge Qot = -1 µC. The rod is bent into a quarter of a circle of radius R = 1 m. Find the x- and y-components of the electric field created by the rod the point O the center of the arc. Hint: The following integrals are useful: cose de = [sin@]% î sine de = [-cos0]% R
What is the scalar electric field strength 12 mm away perpendicularly from the center of a ring of charge with 15mm radius and has a total charge of +750 uC. note: Answer in GN/C and 3 decimal places
The volumetric charge density of a cylinder of radius R is proportional to the distance to the center of the cylinder, that is, ρ = Ar when r≤R, with A being a constant. (a) Sketch the charge density for the region - 3R < r < 3R. What is the dimension of A?b) Calculate the electric field for a point outside the cylinder, r > Rc) Calculate the electric field for a point inside the cylinder, r<R.d) Sketch Exr
Find the electric field at the point P (0,5,0) due to a charged body with a charge density of 30 nC / m on the Z-axis and charged bodies with a surface charge density of 20ϵo nC/m2 at y = 10 m. (( \epsilon \)o =10-9/(36ππ) A. ET=108ar +10ay nV/m B. ET=98ay nV/m C. ET=46ay nV/m D. ET=26ay nV/m E. ET=-26ay nV/m this is a question of Electromagnetic Fields and Waves.
Consider any charge distribution with a charge density e(7), let v be a spherical region of radius Y.. Centered at 0, the average electric field E within v has the formula: 1 E: Iar / E(F)dv = Ent + Eot %3D where Ent is the average field due to all internal charges v and Eetis the average field due to all external charges v Prove that Eint 1 4T€0 r3 Eext p(T) du' Jv 4T€0 p13 where p is the electric dipole moment (cycle O) of the internal charge. and V is the region in space. that includes v and P(F)# 0 3
Within the spherical shell 2m
a) Find the surface charge density σ2 of the cylindrical shell of radius R2. (Note the unit in the input box and the sign of charges.) Surface charge density σ2Give your answer up to at least three significance digits. b) Find an expression of electric field at rmm from the center where R1<r<R2. Assume the cylinder has a length L and L is very long so that electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with radius r.) Magnitude of the electric field at r=0.76mm Give your answer up to at least three significance digits. c) Calculate absolute value of the potential difference between the wire and the cylinder. Absolute value of the potential difference Give your answer up to at least three significance digits. d) Calculate the capacitance C for this cylindrical system. Assume that the length of the cylinder is L=17cm. Capacitance C for this cylindrical system Give your…