Answered: A small circular plate (2D) has a… | bartleby

Related questions

Question

A small circular plate (2D) has a radial charge distribution of n(r) = (12)r.
*. If the plate has a radius of 2cm, how
much total charge is on the plate? Since the plate and charge are both radially symmetric, you should use polar
coordinates here.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

How do you find the total charge?
A solid disk of radius R = 11 cm lies in the y-z plane with the center at the origin. The disk carries a uniformly distributed total charge Q = 45 μC. A point P is located on the positive half of the x-axis a distance 24 cm from the origin. Refer to the diagram, where the y- and z-axes lie in the plane of the screen and the x-axis points out of the screen. a. Enter an expression for the surface charge density σ in terms of the total charge and radius of the disk. σ = b. Consider a thin ring of the disk of width dr located a distance r from the center. Enter an equation for the infinitesimal charge in this thin ring in terms of Q, R, r, and dr. dQ = c. Calculate the electric potential at P, in kilovolts. V = d. Calculate the magnitude of the electric field at the point P in units of meganewtons per coulomb. E =
An infinitely long object consists of an inner cylinder of radius a which has a uniform positive volume charge density p > 0 and a concentric thin cylinder of radius b which has a uniform negative surface charge density o0 Figure 7: A cross-sectional view of two cylinders c) Calculate the electric field for r > b. b 0 <0 d) Calculate the electric potential difference for r
The figure shows a solid non-conducting sphere of radius a = 4.4 cm. It is surrounded by a charged conducting spherical shell of inner radius b = 15.3 cm and outer radius c = 24.8 cm. The inner sphere has a net charge of q1 = 9 nC and the conducting spherical shell has a net charge of q2 = -7 nC. a. What is the surface charge density on the inside surface of the spherical shell? b. What is the surface charge density on the outside surface of the spherical shell? c. What is the value of the electric field at a distance r = 58 cm from the centre of the spheres? Please use a negative value to indicate the electric field points toward the centre of the spheres and a positive value to indicate away from the centre of the spheres.
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:.........
An infinitely long rod lies along the x-axis and carries a uniform linear charge density λ = 5 μC/m. A hollow cone segment of height H = 27 cm lies concentric with the x-axis. The end around the origin has a radius R1 = 8 cm and the far end has a radius R2 = 16 cm. Refer to the figure. a. Consider the conic surface to be sliced vertically into an infinite number of rings, each of radius r and infinitesimal thickness dx. Enter an expression for the electric flux differential through one of these infinitesimal rings in terms of λ, x, and the Coulomb constant k. b. Integrate the electric flux over the length of the cone to find an expression for the total flux through the curved part of the cone (not including the top and bottom) in terms of λ, H, and the Coulomb constant k. Enter the expression you find. c. Calculate the electric flux, in N•m2/C, through the circular end of the cone at x = 0. d. Calculate the electric flux, in N•m2/C, through the circular end of the cone at x = H. e.…
A negative point charge Q1, is located at the origin. A rod of length L is located along the x axis with the near side a distance d from the origin. A positive charge Q2, is uniformly spread over the length of the rod. After integrating the force from each slice over the length of the rod, the magnitude of the electric force on the charge at the origin can be represented as the following: F = (k |Q1| |Q2|) / (d (d + L)) Let L = 2.22m, d = 0.42m, Q1 = -6.29µC, and |Q2| = 11.1µC. Calculate the magnitude if the force in newtons that the rod exerts on the point charge at the origin.
esc The nucleus of a 125 Xe atom (an isotope of the element xenon with mass 125 u) is 6.0 fm in diameter. It has 54 protons and charge q = +54e. R 2 R F2 W # 3 80 E $ 4 R Part A What is the electric force on a proton 2.6 fm from the surface of the nucleus? Hint: Treat the spherical nucleus as a point charge. Express your answer with the appropriate units. F= 8.64 Part B μÃ 1 Submit Previous Answers Request Answer % 5 X Incorrect; Try Again; 4 attempts remaining F5 What is the proton's acceleration? Express your answer with the appropriate units. Value T → HA N 6 C FIC ? Units MacBook Air Y & 7 U * 8 FB ( 9 F9 0 0 P + Review
Suppose a speck of dust in an electrostatic precipitator has 1.0000×1012 protons in it and has a net charge of –5.00 nC (a very large charge for a small speck). a. Find the electric charge due to the protons in the dust. Calculate the charge due to only the protons.
Now it's your turn Four charged particles are placed so that each particle is at the corner of a square. The sides of the square are 15 cm. The charge at the upper left corner is +3.0 µC, the charge at the upper right corner is -6.0 μC, the charge at the lower left corner is -2.4 µC, and the charge at the lower right corner is -9.0 μC. a. What is the net electric force on the +3.0 µC charge? b. What is the net electric force on the -6.0 µC charge? c. What is the net electric force on the-9.0 uC charge?
A cube has positive charge +Q in all corners except for one, which has a negative point charge - Q. Let the distance from any corner to the center of the cube be r. What is the magnitude and direction of the of electric field at the center of the cube (point P)?
A thin, insulating rod of length Icarries a linear charge density^(x) that varies with distance according to (x)=Ax (in SI units). The location of the origin is shown in the figure. A point charge q is located a distance I from the end of the rod as shown. a. What are the SI units of the constant A? b. Find the force that the rod exerts on q.

SEE MORE QUESTIONS