Using Gauss law, derive an expression for the electric field within the sphere as a function of distance r from the centre (that is, for r < R).
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Using Gauss law, derive an expression for the electric field within the sphere as
a function of distance r from the centre (that is, for r < R).
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- Calculate the resultant electric field strength and direction at point P.Let there be a spherically symmetric charge distribution with charge density varying as p = p0e-r/a where r is the centre of the charge distribution, and a and p0 are constants greater than 0. At any given value of r, determine the electric field and sketch the graph with magnitude r. (Use Integration by Parts)A positive charge distribution with linear charge density of 5.2 nC/m is distributed on a semi-circle of radius R= 0.7m in the first and second quadrants, Centered on the origin, Calculate the y-component of the electric field at the origin due to this distribution sunting ed non 2kmamogring rate bank!!
- An infinite cylinder of radius R has a charge density given by p(r) = ar³, where r is the perpendicular distance from the axis of the cylinder, and a is a constant. Show that the electric field for r > R given by aRT E(r) : 7€or is the same as that obtained if all the charge is concentrated in an infinitely thin wire.Two concentric spherical shells with radius “R1” and “R2” , charge quantity “Q1” and “Q2” respectively, find the distribution of electric field strength in space , and make the E-r relationship curve.A sphere of radius R has a charge distribution given by rho(r)=A√r where A is a constant. What is the divergence of the electric field at the point r=R/2? Hint: What is the differential form of Gauss’ law?
- A ring with outer radius rb and inner radius ra (i.e. a disc with a hole, shown in Figure A) has auniform surface charge density σ.(a) Calculate the electric field at point P at a distance x along the central perpendicular axis ofthe disk.(b) Find the expression for electric field when rb≫ra and rb≫x.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 placesThe volumetric charge density of a cylinder of length L of radius R is p. Find the electric field inside (r(a) Explain the Gauss' law in words, equation and suitable diagrams. (b) A thin metallic sphere has a radius a and is carrying charge ga An identical concentric sphere has a radius b (b> a) and is carrying charge qa. Use Gauss' Law to determine the electric field E at the radial points r where O sa, (ii) aA ring of radius R has a charge distribution on it is given by 1(0) : form) at the center of the ring? ncos0 + 8 where ŋ and 8 are constants. What is the electric field (in componentConsider the following ring of charge with radius R and total charge Q. Show that the expression (or the integral) for the electric field at point P is given by Ez r = kQz (z² + R²)³/2 E₂₁ P R' ZSEE MORE QUESTIONSRecommended textbooks for youCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio…PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSONCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio…PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON