A 38.4 cm long rod has a nonuniform charge density given by the equation X(z) = Ae 2/b. where A=6.70 nC/cm and b=22.0 cm. What is the total charge on the rod? Hint: This problem requires integration! Total charge on rodil
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- A certain spherical charge cloud has a volume charge density p(r) = Po e-r²/a² p2 [C/m³] where r is the radius in spherical coordinates, and a is a positive real constant. What must the constant po be if the total charge in the cloud is Q? 0≤r<∞0A charge of -90.4 uC is placed on spherical conductor of radius 10.0 cm. Part (a) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 1.32 cm from the center of the sphere? E=_____ N/C. Part (b) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 7.08 cm from the center of the sphere? E= ______ N/C Part (c) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 17.1 cm from the center of the sphere. E= _______ N/CElectric charge is distributed over the disk a2 + y < 20 so that the charge density at (x,y) is o(x, y) = 5 + x² + y² coulombs per square meter. Find the total charge on the disk.
- An insulating solid spherical shell has inner radius A and outer radius 1.9A. Charge is uniformly distributed throughout the shell with a charge density of +Z. The charge enclosed inside the spherical shell can be written as Q=fZA3 where f is a numerical value with no units. What is the value of f? (Answer should have three significant digits.)Density, density, density. (a) A charge -328e is uniformly distributed along a circular arc of radius 6.00 cm, which subtends an angle of 72°. What is the linear charge density along the arc? (b) A charge -328e is uniformly distributed over one face of a circular disk of radius 3.50 cm. What is the surface charge density over that face? (c) A charge -328e is uniformly distributed over the surface of a sphere of radius 2.00 cm. What is the surface charge density over that surface? (d) A charge -328e is uniformly spread through the volume of a sphere of radius 3.30 cm. What is the volume charge density in that sphere? (a) Number Units (b) Number Units (c) Number Units (d) Number UnitsJust need #7, but need values from #6.
- Problem: A square with a 5 cm side has a charge q1 = -10 micro C at its upper-right corner and a charge q2 = 10 micro C at its upper-left corner. There is no charge at the lower-left corner where a point A is placed, and there is no charge at the lower-right corner where a point B is placed. Draw the square showing the charges and points A and B. Draw E1 and E2 created by q1 and q2 at a point A. Calculate their magnitude, direction, and their components. Calculate the magnitude and the direction of their resultant vector.A cylinder of length L=5m has a radius R=2 cm and linear charge density 2=300 µC/m. Although the linear charge density is a constant through the cylinder, the charge density within the cylinder changes with r. Within the cylinder, the charge density of the cylinder varies with radius as a function p( r) =p.r/R. Here R is the radius of the cylinder and R=2 cm and p, is just a constant that you need to determine. b. Find the constant po in terms of R and 2. Then plug in values of R and 1. to find the value for the constant p. c. Assuming that L>>R, use Gauss's law to find out the electric field E inside the cylinder (rR) in terms of 1. and R. d. Based on your result from problem c, find the electric field E at r=1cm and r=4cm.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.
- Question 2 A 43.8 cm long rod has a nonuniform charge density given by the equation A(z) = Ae-2/b, where A = 2.50 nC/cm and b= 14.0 cm. What is the total charge on the rod? Hint: This problem requires integration! + + + + ++ Total charge on rod: +Electric charge is distributed over the triangular region D shown below so that the charge density at (r, y) is o(x, y) = 3ry, measured in coulumbs per square meter (C/m2). Find the total charge on 4 3 21 2. 4 coulumbsa. An electrically neutral penny, of mass 3.11 g, contains equal number of positive and negative charges. Assuming the penny is made of pure copper, what is the total positive (or negative) charge within a penny? Atomic mass of copper = 63.5 g/mol Na = 6.02 x 10 atoms / mol (Avogadro's number) CAADA Atomic Number of Copper = 29 protons/atom NOTE: you don't necessarily need chemistry for this.Dimensional analysis!!! b. Suppose the positive and negative charges could be isolated into two bundles and separated by a distance of 1.00 km. What would the force of attraction between the bundles be?