Chapter 22, Problem 022 Density, density, density a A charge-343e is uniform y d
ID: 1886337 • Letter: C
Question
Chapter 22, Problem 022 Density, density, density a A charge-343e is uniform y distributed along a circular are of radius 6 60 cm which subtends an angle of 690 What s the in archa e de si ya ng heare, charge -343e is uniformly distributed over one face of a circular disk of radius 2.20 cm. What is the surface charge density over that face? (c) A charge-343e is uniformly distributed over the surface of a sphere of radius 4.80 cm. What is the surface charge density over that surface? (d) A charge -343e is uniformly spread through the volume of a sphere of radius 3.50 cm. What is the volume charge density in that sphere? (a) Number (b) Number (c) Number (d) Number Units Units Units UnitsExplanation / Answer
Given,
q = -343e ; r = 6.6 cm ; theta = 69 deg ;
a)we know that
lambda = q/L
L = r (theta) = 0.066 x 69 x 3.14/180 = 0.079 m
lambda = -343 x 1.6 x 10^-19/0.079 = -6.95 x 10^-16 C/m
Hence, lambda = -6.95 x 10^-16 C/m
b)Now simga = q/Area
sigma = -343 x 1.6 x 10^-19/(3.14 x 0.022^2) = -3.61 x 10^-14 C/m^2
Hence, sigma = -3.61 x 10^-14 C/m^2
c)sigma = q/A
sigma = -343 x 1.6 x 10^-19/4(3.14 x 0.048^2) = -1.89 x 10^-15 C/m^2
Hence, sigma = -1.89 x 10^-15 C/m^2
d)rho = q/volume
rho = 343 x 1.6 x 10^-19/(4/3 x 3.14 x 0.035^3) = -3.06 x 10^-13 C/m^3
Hence, rho = -3.06 x 10^-13 C/m^2
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