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3.6.[2] Let 10 mC/m 1 0 (a) Find the net flux crossing surfacer 2 m and r 6 m. (b) Determine D at r = 1 mand r = 5 m.

3.6.[2] Let 10 mC/m 1 0 (a) Find the net flux crossing surfacer 2 m and r 6 m. (b) Determine D at r = 1 mand r = 5 m.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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3.6.[2] Let (10 mC/m? 1<r< 4 r2 0, Pv r >0 (a) Find the net flux crossing surface r = 2 m and r = 6 m. (b) Determine D at r = 1 m and r 5 m. 3.7.[1] The cylindrical surface p= 8 cm contains the surface charge deasity, Ps = 5e-201zl nC/m. (a) What is the total amount of charge present? (b) How much electric flux leaves the surface p = 8 cm, 1cm < z < 5cm, 30° < p < 900? 3.8.[1] Let D = 4xy a, + 2(x? + z?) a, + 4yz a, C/m? and evaluate surface integrals to find the total charge enclosed in the rectangular parallelepiped 0 <x < 2,0 < y < 3, 0 < z < 5 m. 3.9.[1] A uniform volume charge density of 80 µC/m³ is present throughout the region 8mm <r< 10mm. Let p, = 0 for 0 <r < 8mm. (a) Find the total charge inside the spherical surface r 10mm. (b) Find D, atr 10 mm. (c) If there is no charge for r > 10 mm, find D, at r= 20 mm. 3.10.[1] A cube is defined by 1<x, y,z < 1.2. If D = 2x?y a, + 3x?y? a, C/m²: (a) apply Gauss's law to find the total flux leaving the closed surface of the cube; (b) dAx + 0Ay + đA at the center of the cube, (c) Estimate the total charge dy evaluate az enclosed within the cube by using Equation below. aD aD, aD: Charge enclosed in volume Av x volume Av az 3.11.[1] Let a vector field be given by G = 5x2y²z?a,y. Evaluate both sides of Eq. %3D aD aDy Charge enclosed in volume Av = ax x volume Av ay For this G field and the volume defined by x 3 and 3.1, y = 1 and 1.1, and z = 2 and 2.1. Evaluate the partial derivatives at the center of the volume.
Transcribed Image Text:3.6.[2] Let (10 mC/m? 1<r< 4 r2 0, Pv r >0 (a) Find the net flux crossing surface r = 2 m and r = 6 m. (b) Determine D at r = 1 m and r 5 m. 3.7.[1] The cylindrical surface p= 8 cm contains the surface charge deasity, Ps = 5e-201zl nC/m. (a) What is the total amount of charge present? (b) How much electric flux leaves the surface p = 8 cm, 1cm < z < 5cm, 30° < p < 900? 3.8.[1] Let D = 4xy a, + 2(x? + z?) a, + 4yz a, C/m? and evaluate surface integrals to find the total charge enclosed in the rectangular parallelepiped 0 <x < 2,0 < y < 3, 0 < z < 5 m. 3.9.[1] A uniform volume charge density of 80 µC/m³ is present throughout the region 8mm <r< 10mm. Let p, = 0 for 0 <r < 8mm. (a) Find the total charge inside the spherical surface r 10mm. (b) Find D, atr 10 mm. (c) If there is no charge for r > 10 mm, find D, at r= 20 mm. 3.10.[1] A cube is defined by 1<x, y,z < 1.2. If D = 2x?y a, + 3x?y? a, C/m²: (a) apply Gauss's law to find the total flux leaving the closed surface of the cube; (b) dAx + 0Ay + đA at the center of the cube, (c) Estimate the total charge dy evaluate az enclosed within the cube by using Equation below. aD aD, aD: Charge enclosed in volume Av x volume Av az 3.11.[1] Let a vector field be given by G = 5x2y²z?a,y. Evaluate both sides of Eq. %3D aD aDy Charge enclosed in volume Av = ax x volume Av ay For this G field and the volume defined by x 3 and 3.1, y = 1 and 1.1, and z = 2 and 2.1. Evaluate the partial derivatives at the center of the volume.
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