Calculate the polarizability of a conducting sphere of radius a. Compare your result with the classical atom of Ex. 4.1
Calculate the polarizability of a conducting sphere of radius a. Compare your result with the classical atom of Ex. 4.1
Assuming the electron to be a classical particle, a sphere of radius R = 10-15 m, and a uniform mass density, use the magnitude of the spin angular momentum |53h/2 to compute the speed of rotation v at the equator of the electron. How does your result compare with the speed of light in vacuum c?
Assuming the electron to be a classical particle, a sphere of radius R = 10-15 m, and a uniform mass density, use the magnitude...
A conducting sphere has radius R_1 = 0.5m Calculate the capacitance of the sphere with respect to ground. Calculate the capacitance if the sphere were surrounded by a sphere of PZLT, a super dielectric, with outer radius R_2 = 1m, k = 1485. Report both a symbolic and numeric value for the capacitance.
2 A conducting sphere of radius a is surrounded by a weakly conducting material of conductivity ; this material can be thought to extend all the way to infinity. The electrostatic potential V is equal to the constant Vo on the surface of the sphere, and it vanishes at infinity. There is no net charge inside the weakly conducting material (a) Calculate the current density J for r > a (b) Verify that V.J-0 (c) Calculate the current I flowing...
A hollow, conducting sphere with an outer radius of 0.254 mm and an inner radius of 0.207 mm has a uniform surface charge density of +6.38×10−6 C/m2C/m2 . A charge of -0.640 μCμC is now introduced into the cavity inside the sphere. a)What is the new charge density on the outside of the sphere? b)Calculate the strength of the electric field just outside the sphere. c)What is the electric flux through a spherical surface just inside the inner surface of...
4.1 A sphere of radius R has a uniform volume charge density ρ(r) Pr. A. Calculate E(r) B. Use your answer to A to calculate V(r). C. Use your answer to B to calculate the energy of this charge configuration, via the expression U pV d where the integral must be evaluated over the bounded charge distribution. D. Use your answer to A to calculate the energy of this charge configuration, via the expression 2 2 space
Problem 2: a conducting sphere A conducting sphere has a positive net charge Q and radius R. (Note: since the sphere is conducting all the charge is distributed on its surface.) a) By reflecting on the symmetry of the charge distribution of the system, determine what the E-field lines look like outside the sphere for any r > R. Describe the E-field in words and with a simple sketch. Make sure to also show the direction of the E-field lines....
Calculate the potential due to a point charge q in the presence of a conducting sphere at constant potential V. Radius of conducting sphere is R. The point charge is situated at a distance b from the center of the sphere (b>R) ( Image charge for a grounded conducting sphere is given ; q' = -(Rq)/b and distance r'= R^(2)/b
A hollow, conducting sphere with an outer radius of 0.28 m and an inner radius of 0.18 m has a uniform surface charge density of +6.1 × 10-6 C/m . A charge of -0.49 μC is now introduced into the cavity inside the sphere. What is the new charge density on the outside of the sphere? (Give your answer in scientific notation using C/m2 as unit)
Immediately outside a conducting sphere of unknown charge sphere, the potential is 140 V. and radius R the electric potential is 190 V, and 10.0 cm further from the (a) Determine the radius R of the sphere (in cm) 28 (b) Determine the charge on the sphere (in nC). c) The electric potential immediately outside another charged conducting sphere is 200 V and 10.0 cm farther from the center the magnitude of the electric field is 420 V/m. Determine the...
R Q1-Ch23 A conducting solid sphere of radius R with unknown charge Q is at the center of a conducting hollow sphere of inner radius 3R and outer radius 4R. The hollow sphere has charge -2q. Take the origin as the center of the spheres. Take the potential at infinity as zero. a) Calculate Q if the electric potential at r = 2R is zero. b) Suppose that a conducting thin wire is connected between the spheres. How much electron...