Concept explainers
A spherically symmetric charge distribution produces the elec-
tric field
a. What is the electric field strength at r = 20 cm?
b. What is the electric flux through a 40-cm-diameter spherical
surface that is concentric with the charge distribution?
c. How much charge is inside this 40-cm-diameter spherical
surface?
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Chapter 24 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (Chs 1-42) Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition)
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- The Oscilloscope 4. An insulating spherical shell of radius inner radius A and outer radius B, has a non- uniform charge density given by p(r)= ar³ where a is a constant. Concentric with this spherical shell is an insulating spherical shell with inner radius B, outer radius C, and a uniform charge density such that the electric field strength is zero for r > c. a. What is the total charge on the inner spherical shell? b. What is the charge density in the outer spherical shell? c. What is the electric field everywhere (r < A, Aarrow_forwardLet pv (1x+3y³+3z2)C/m³ in cubical region; 1 < x, y, z <7 mm and pv = 0 outside the cube. a. What is the total charge contained within the cube? b. What is the Electric field intensity within the volume? Type in Canvas the distance of the limits.arrow_forwardA hollow, conducting sphere with an outer radius of 0.240 mm and an inner radius of 0.200 mm has a uniform surface charge density of +6.27 ×10−6 C/m2. A charge of -0.600 μC is now introduced into the cavity inside the sphere. a. What is the new charge density on the outside of the sphere? b. Calculate the strength of the electric field just outside the sphere. c. What is the electric flux through a spherical surface just inside the inner surface of the sphere?arrow_forwardA shere of radius R = 0.35 m has a volume charge distribution described by: ρ(r) = ρ0 (1− r/R) for r ≤ R, where ρ0 = 18.5 μC/m3. a. What is the total charge on the sphere? b. What is the strength of the electric field produced by the charge distribution at a distance 0.21 m from the center of the sphere? c. What is the strength of the electric field produced by the charge distribution at a distance 0.4025 m from the center of the sphere? d. Graph the electric field as a function of r between r = 0 and r =0.4025 m.arrow_forwardA long, thin straight wire with linear charge density λ runs down the center of a thin, hollow metal cylinder of radius R. The cylinder has a net linear charge density 2λ. Assume λ is positive. a. Find expressions for the magnitude of the electric field strength inside the cylinder, r<R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π. b. Find expressions for the magnitude of the electric field strength outside the cylinder, r>R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π.arrow_forwardA pair of parallel conducting plates are given charges of equal magnitude but opposite sign to create a uniform electric field with magnitude 38 N/C. A rectangular surface with dimensions 4.2cm×1.2cm is located in the gap between the parallel plates. a. What is the magnitude of the electric flux, in newton squared meters per coulomb, through the rectangular surface if it is parallel to the charged plates? b. What is the magnitude of the electric flux, in newton squared meters per coulomb, through the rectangular surface if it is perpendicular to the charged plates? c. What is the magnitude of the electric flux, in newton squared meters per coulomb, through the rectangular surface if the angle between its normal and the electric field is 25∘?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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