In a condition that the point P is very close to the disk (Figure), i.e. x>>R,...
Answer is Below. Problem 3: Consider a disk of radius R in the xy-plane with a non-uniform surface charge density ơ(r)-ar, where a > 0 is a constant. Determine the electric field at a point z above the disk, along its axis of symmetry
9. For the model 1 +32 (a) Find the formula(s) for the fixed point(s) if r > 2. (b) Why do we include the condition r > 2? What occurs to the fixed points if r < 2? You may want to use an online graphing tool to assist in your cobweb diagrams for some models! 45
3. Let X be a geometric random variable with parameter p. Prove that P(X >k+r|X > k) = P(X > r). This is called the memoryless property of the geometric random variable.
there was another answer, but i did not quite get it. it seemed to use polar coordinates or something, but i don't really understand how it set up the integral. Problem 3: Consider a disk of radius R in the xy-plane with a non-uniform surface charge density ơ(r)-ar, where a > 0 is a constant. Determine the electric field at a point z above the disk, along its axis of symmetry
The correct answer is already given. What you have to do is how to get this answer. Problem 3: Consider a disk of radius R in the xy-plane with a non-uniform surface charge density σ(r)-ar, where a > 0 is a constant. Determine the electric field at a point z above the disk, along its axis of symmetry. [Answer:2k,zanV2+R2+R-Inz-
Problem 8 A positive charge is uniformly distributed through an insulating sphere of radius R. The point P that is located a distance r from the center of the sphere. (i) Determine the electric field when the point P is inside the sphere (r < R). (i) Determine the electric field when the point P is outside the sphere (r> R). (iii) Plot the magnitude of the electric field as a function of r.
2 BALL AND PLANE Consider a spherical shell of radius R and charge per unit area σ1 sitting at the origin. There is also an infinie plane parallel to the x- y plane sitting at z-zo with charge per unit area Oz. We will take Zo > R. Compute the electric field at the following locations: 2.1 10 POINTS The origin. 2.2 15 POINTS The point (xo,0,0) with xo> R 2.3 15 POINTS The point (X1, 0,21) with 0 <...
(a) A solid sphere, made of an insulating material, has a volume charge density of p , where r is the radius from the center of the sphere, a is constant, and a >0. What is the electric field within the sphere as a function of the radius r? Note: The volume element dv for a spherical shell of radius r and thickness dr is equal to 4tr2dr. (Use the following as necessary: a, r, and co.) magnitude E direction...
G1. What is E for a spherical shell of charge p=0 for r < R1, p = po for R; <r < R2 and • P=0 for r > R2? R2 R1 Po What is the electric field for an infinitely long cylindrical pipe, inner radius Ry, outer radius R, and with p=Ar2 in the pipe wall between R, and R,? R2 R1 For problem G1 what is V in each region of space?
4. A flat disk of radius R, carrying a uniform charge density + ơ, is rotating at a constant angular velocity o. a) What is the magnitude of the surface current density K at a distance s from the ccnicr f the disk? b) Calculate the magntic field (magnitude and direction) at a point P located on the axis of the disk. [Hint: Treat the disk as a collection of rings of width dr. The current in each ring is...