stant and ρ is polar coordinate. a) Calculate the electric potential for points on the disk axis. b) Explain how you would proceed to calculate the electric field
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A disk of radius R has a surface charge distribution with density given by σ(ρ) = σ0ρ/R, where σ0 is a positive constant and ρ is polar coordinate.
a) Calculate the electric potential for points on the disk axis.
b) Explain how you would proceed to calculate the electric field from the result obtained in a).
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- Xavier has been given the following diagram by his teacher, ms benedict. Ms benedict wants him to find an expression for electric potential at point P when : dA Gaussian sphere encloses a single electron. a) What is the electric flux through the sphere? b) What is the electric field due to this charge at a 3.5 cm distance from the electron? c) What is the electric potential due to this charge at a 3.5 cm distance from the electron? d) What is the force experienced by a 2nd electron placed a 3.5 cm distance from the first electron? e) What is the electric potential energy of the two electron configuration?Dielectric Ball in Electric Field Given a sphere of radius R made of a dielectric material that is isotropic and linear with a dielectric constant e_d. The sphere is placed in an area of vacuum with an electric field E_0 directed to the z-axis. Define electric scalar potential inside and outside the sphere!13) a) A ring of charge sits in the xy plane. It has a radius of 0.25 m and a linear charge density of A = 0.2C/m. What is the electric potential at a point z directly above its center? b) What is the magnitude and direction of the electric field at that point where you computed the potential? Z RA ring of radius R = 2 cm lies in the y-z plane and is centered at the origin. The ring carries a uniform charge Q = 77 μC. A point P is located along the x-axis a distance x = 2.9 cm from the origin. a) Calculate the electric potential, in volts, at the point P. b) Calculate the magnitude of the electric field at the point P in units of meganewtons per coulomb (MN/C)In image a) below 12 electrons are placed on the sides of a circle of radius R at the same distance, while in image b) the twelve electrons are placed on the sides of a circle covering 120° A. Calculate the electric potential at point C (center of the circle) for images a) and b) B. Draw the electric field at point C for images a) and b)A conducting spherical shell of radius R and zero thickness is held at a potential V (0) = V, sin* (0). а. Determine the potential produced by the sphere everywhere. b. Determine the electric field produced by the sphere everywhere. C. Determine the surface charge density on the sphere.Please, I need help with this problem. PLEASE, provide a DETAILED explanation with words and formulas step by step please. I will like your answer if you provide this. Thank you in advance!The radius of a spherical conductor is 14 cm and the charge on it is +26 μC. Find the electric potential and electric field for distances a) r=5 cm b) r=14 cm c) r=30 cm from the center of this conductor.You place a particle of charge q at the origin and another of -2q at x = -d m. a. Write an expression for the potential at some arbitrary distance xp from the origin on the x axis. b. Similar to a), write an expression for the electric field anywhere along x axis. ) A thin wire carries uniform charge q and is shaped into a circle of radius R. a. What is the magnitude of the electric field at the center of the circle? (Hint: this one should be quick!) b. What is the value of the potential (referenced to 0 at infinity) at the center? ) Consider an infinitely long cylinder with radius R and uniform surface charge density o. a. Find the magnitude of the electric field at a distance s from the axis of the cylinder for s R. c. Using your answer to part b, find the potential difference between two points: s= a and s = b. A thin rod of length 1 carries a uniformly distributed charge q. The rod lies on the x axis with its near end at x = +d and the far end of the rod at x = d+l. a. What is the…6. A long aluminum cylinder of radius R is charged so that it has a uniform charge per unit length on its surface of 2. a) Find the electric field inside and outside the cylinder. b) Find the electric potential inside and outside the cylinder if the potential at distance 100R is zero. c) Plot electric field and electric potential as a function of distance from the center of the rod.3- A positive charge q is uniformly distributed over the area of a disk, of radius R, placed horizontally on the x-y plane as shown in the figure. a) Find an expression for the charge density o. b) Find an expression for the electric potential at a point P on the axis passing through the center of the disk and at a distance z from its center. c) Check that your formula is consistent with what you would expect for the case when z →± ∞ R dr 10 r √² + z² Hint: Divide the disk into ring shaped elements, each of area da = 2ër dr, then integrate over r (from r=0 till r=R).SEE MORE QUESTIONS