4) A dielectric ball of radius R with a uniform volume charge density protates about a...
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...
part b please Consider a rotating disk of radius R with uniform surface charge density sigma and angular rotation speed omega. (a) show that for an annular strip of radius r, and width dr that the current dI = omega sigma r dr (b) Show that the magnetic field in the center of the disk is given by B = 1/2 mu_0 sigma omega R
MAGNETOSTATICS A hollow sphere of radius R centered at the origin is covered with a uniform surface charge σ and is rotating about the z-axis with angular frequency a. A uniform external magnetic field is oriented in the y-direction: B- BoV a. b. c. Find the total force on the sphere Find the total torque on the sphere Generalize the result of (b) to find the torque for a uniform magnetic field in an arbitrary direction, B - Bt +B,y+B,2
consider a spherical ball of of charge radius R with a volume charge density of p(r)=a^3 for r≤R what are coefficient unit, calculate the electrical field r≥R and show that the expression agrees when r=R
6. Imagine a non-conducting ball with a uniform volume charge density ρ(r) po (a constant). What is the electric field inside the ball at a point P at a distance r B from the center of the ball p(r)
Volume Charge Density 4 Part A A solid sphere of radius R carries volume charge density ρ-PoeriR, where A) is a constant and r is the distance from the center. Find an expression for the electric field strength at the sphere's surface. Your expression should be in terms of the given variables and any other known variables such as the dielectric constant, єо. co is typed as "epsilono" without the quotations. po is typed as "rhoo" without the quotations. D...
A solid ball of radius rb has a uniform charge density ρ. Part A What is the magnitude of the electric field E(r) at a distance r>rb from the center of the ball? Express your answer in terms of ρ, rb, r, and ϵ0. Part B What is the magnitude of the electric field E(r) at a distance r<rb from the center of the ball? Express your answer in terms of ρ, r, rb, and ϵ0. Part C Let E(r)...
4. An infinite cylinder of radius R has a uniform charge density p except for a cylindrically shaped cutout of radius R/2, as shown. Find the electric field along the axis of the cylinder. Find the electric potential along the axis of the cylinder, assuming a zero point at some arbitrary distance from the axis of the cylinder. a. b.
Consider a long, cylindrical charge distribution of radius R with a uniform charge density ?. Find the electric field at distance r from the axis, where r < R. (Use any variable or symbol stated above along with the following as necessary: ?0.)
ery long dielectric cylinder of radius a and dielectric constant er is placed in a field Eo perpendicular to its A v axis. The electric potential inside the cylinder is r in and the electric potential outside the cylinder is The electric field inside of the cylinder is and the electric field outside the cylinder is n11 out-_E Find the surface charge density and take the cylinder axis to be the z-axis and take Eo - Eo ery long dielectric...