Explanation Given: Charge on ball placed at the center of the hollow metal shell = − Q Charge on the hollowmetal shell = 2 Q Radius of ball = a Inner radius of metal shell = b Outer radius of metal shell = c Formula Used: E → . A → = Q e n c l o s e d ε o Calculation: For region, r ≤ a Consider a Gaussian surface of radius " r " Q e n c l o s e d = Charge enclosed by the Gaussian surface = − Q 4 3 π a 3 × ( 4 3 π r 3 ) = − Q r 3 a 3 A → = area of Gaussian surface = 4 π r 2 Using gauss’s law E → . A → = Q e n c l o s e d ε o − E → ( 4 π r 2 ) = − Q r 3 ε o a 3 − Q r 3 ε o a 3 E → = Q r 4 π ε o a 3 For region, a < r < b Consider a Gaussian surface of radius " r " Q e n c l o s e d = Charge enclosed by the Gaussian surface = − Q A → = area of Gaussian surface = 4 π r 2 Using Gauss’s law E →

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

4th Edition

ISBN: 9780134110684

Author: Randall D. Knight (Professor Emeritus)

Publisher: PEARSON

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

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Chapter 24, Problem 44EAP

To determine

Electric field in regions r≤a,a<r<b,b≤r≤c,r>c

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Chapter 24, Problem 43EAP

Chapter 24, Problem 45EAP

Chapter 24 Solutions

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

Ch. 24 - Suppose you have the uniformly charged cube in...Ch. 24 - FIGURE Q24.2 shows cross sections of...Ch. 24 - The square and circle in FIGURE Q24.3 are in the...Ch. 24 - Prob. 4CQ Ch. 24 - Prob. 5CQ Ch. 24 - What is the electric flux through each of the...Ch. 24 - Prob. 7CQ Ch. 24 - The two spheres in FIGURE Q24.8 on the next page...Ch. 24 - The sphere and ellipsoid in FIGURE Q24.9 surround...Ch. 24 - A small, metal sphere hangs by an insulating...

Ch. 24 - l. FIGURE EX24.1 shows two cross sections of two...Ch. 24 - FIGURE EX24.2 shows a cross section of two...Ch. 24 - FIGURE EX24.3 shows a cross section of two...Ch. 24 - The electric field is constant over each face of...Ch. 24 - The electric field is constant over each face of...Ch. 24 - The cube in FIGURE EX24.6 contains negative...Ch. 24 - The cube in FIGURE EX24.7 contains negative...Ch. 24 - The cube in FIGURE EX24.8 contains no net charge....Ch. 24 - What is the electric flux through the surface...Ch. 24 - What is the electric flux through the surface...Ch. 24 - II The electric flux through the surface shown in...Ch. 24 - ]12. A 2.0cm3.0cm rectangle lies in the xy-plane....Ch. 24 - A 2.0cm3.0cm rectangle lies in the xz-plane. What...Ch. 24 - Prob. 14EAP Ch. 24 - 15. A box with its edges aligned with the...Ch. 24 - What is the net electric flux through the two...Ch. 24 - FIGURE EX24.17 shows three charges. Draw these...Ch. 24 - Prob. 18EAP Ch. 24 - FIGURE EX24.19 shows three Gaussian surfaces and...Ch. 24 - What is the net electric flux through the torus...Ch. 24 - What is the net electric flux through the cylinder...Ch. 24 - Prob. 22EAP Ch. 24 - Prob. 23EAP Ch. 24 - A spark occurs at the tip of a metal needle if the...Ch. 24 - The electric field strength just above one face of...Ch. 24 - The conducting box in FIGURE EX24.26 has been...Ch. 24 - FIGURE EX24.27 shows a hollow cavity within a...Ch. 24 - A thin, horizontal, 10-cm-diameter copper plate is...Ch. 24 - Prob. 29EAP Ch. 24 - Prob. 30EAP Ch. 24 - II A tetrahedron has an equilateral triangle base...Ch. 24 - Charges q1= —4Q and q2= +2Q are located at x = —a...Ch. 24 - Prob. 33EAP Ch. 24 - A spherically symmetric charge distribution...Ch. 24 - A neutral conductor contains a hollow cavity in...Ch. 24 - Prob. 36EAP Ch. 24 - 37. A 20-cm-radius ball is uniformly charged to 80...Ch. 24 - Prob. 38EAP Ch. 24 - Prob. 39EAP Ch. 24 - Prob. 40EAP Ch. 24 - A hollow metal sphere has 6 cm and 10 cm inner and...Ch. 24 - Prob. 42EAP Ch. 24 - Find the electric field inside and outside a...Ch. 24 - Prob. 44EAP Ch. 24 - Prob. 45EAP Ch. 24 - Prob. 46EAP Ch. 24 - FIGURE P24.47 shows an infinitely wide conductor...Ch. 24 - FIGURE P24.48 shows two very large slabs of metal...Ch. 24 - Prob. 49EAP Ch. 24 - A very long, uniformly charged cylinder has radius...Ch. 24 - Prob. 51EAP Ch. 24 - Prob. 52EAP Ch. 24 - II A long cylinder with radius b and volume charge...Ch. 24 - A spherical shell has inner radius Rin, and outer...Ch. 24 - Prob. 55EAP Ch. 24 - Newton's law of gravity and Coulomb's law are both...Ch. 24 - Prob. 57EAP Ch. 24 - An infinite cylinder of radius R has a linear...Ch. 24 - Prob. 59EAP Ch. 24 - A sphere of radius R has total charge Q. The...Ch. 24 - II A spherical ball of charge has radius R and...

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