The Oscilloscope4. 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 withthis spherical shell is an insulating spherical shell with inner radius B, outer radiusC, 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, A

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4. An insulating ball has a charge of 6 µC/m3. The sphere has a radius of 40 cm and it has a cavity around its center with a radius of 10 cm. Remember that k = 9 x 109 Nm2/C2, and use π = = 3.14. A. What is the total charge of the insulating ball ? ........µC B. What is the magnitude of the electric field at a distance of 4 cm from the center ?............ N/C C. What is the magnitude of the electric field at a distance of 50 cm from the center ? ..........N/C Please solve sub parts A,B,C and no reject. Im needed max 30 minutes thank u
2. Consider an insulating spherical shell of inner radius a and outer radius b. a. If the shell has a net charge Q uniformly distributed over its volume, find the vector electric field in all regions of space (r b) as a function of r. b. Now assume that the shell has a non-uniform charge density given by r2 p(r) = Po ab What is the net charge of the shell? c. For the charge distribution in part (b), find the vector electric field in all regions of space (r b) as a function of r.
The Oscilloscope 2. A solid non-conducting cylinder has a radius A and a volume charge density p(r) = a + where a and ẞ are constants. B r a. What is the total charge on the cylinder? b. What is the electric field everywhere (r A)?
There could be charge on C, but there is no 1. net charge on C. 2. There cannot be charge on C. There could be charge on C and there is net 3. charge on C. C A metal block containing a cavity and car- rying a net charge –Q is located near a pos- itive charge +q_as shown in the figure. In static equilibrium, can there be any charges on the inner surface C of the cavity?
Pictured below is a spherical conducting ball of radius a surrounded by a spherical non-conducting "thick" shell of inner radius b and outer radius c. The conducting ball has a total charge of Q1 and the non-conducting shell has a total charge of Q2 uniformly distributed throughout its volume (i.e., the volume charge density p for the shell is constant) a. Determine the volume charge density p of the non-conducting shell. b. Determine the electric field at a point a distance r from the center of the conducting ball. Consider separately each case: p < a, a C. c. If Q2 = - 2Q1, for which values of r is the electric field zero? Can you show all work part a b and c
A neutral conducting sphere has a cavity. A small charge q = +9μC is suspended inside the cavity with an insulating thread. What is the charge on the outer surface of the sphere at steady state (i.e. after a long time)? Conducting sphere a) The charge on the outer surface is zero. b) The charge on the outer surface is +9 μC. c) The charge on the outer surface is -9 μC. d) The charge on the outer surface is -18 μC. e) None of the answer choices is correct. Write your own answer. Write your answer the following way: Choice:______; Explanation:.........
A hollow metal sphere has 5 cm and 9 cm inner and outer radii, respectively, with a point charge at its center. The surface charge density on the inside surface is -150 nC/m². The surface charge density on the exterior surface is +150 nC/m² Part E What is the strength of the electric field at point 12 cm from the center? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) E = Di μA Submit Xb a b X 10n Value Units You have already submitted this answer. Enter a new answer. No credit lost. Try again. Previous Answers ?
1. A thin sheet of sides 2a and 2b lying in the xy plane and centered at the origin has a uniform charge density o (see figure). a. Using the result of Example 1 in the Chapter 23 slides, show that the electric field on the z-axis is given by of ab E = 4k,o arctan | zva² + b² + z². To get full credit you must show an appropriate differential of charge dq and explain any symmetry arguments you might have use to arrive to this result. b. What is the field in the limit a and b going to infinity? Compare your answer with the result of the What If? in Example 3 in the Chapter 23 slides. c. Using the results of part (a), find an integral expression for the electric field at an arbitrary point on the x-axis created by a cube of side 2a centered at the origin with uniform volume charge density p. You do not need to solve this integral.
please answer both parts with good explanation.
5. A uniformly charged solid sphere of radius R has a volume charge density of ρ. (a) Show that at a distance r from the center, the electric ﬁeld is ~ E = ρ 30rˆ r (b) Suppose someone hollows out the sphere as shown below. Find the elctric ﬁeld at 1 (the center) and 2 (the surface). Hint: model the sphere with cavity as two spheres with equal but opposite charge densities. ( the image also has the directions on it.)
8. A solid sphere with radius a = 2cm in encased in a spherical shell with inner radius a = 2cm and outer radius b = 4cm. (A cross section is shown on the right). The sphere has charge density Psphere = 1µC and the shell has charge density Pshell = 2µC. Let r measure the dis- tance from the center of the sphere. Answer the following questions: (Note: Your answer can contain a, b, A, B, and r the radial distance you are looking at.) (a) What shape of Gaussian surface will you use to solve this problem? (b) What is the electric field at r = 3cm? a Psphere Pshell b