Polarizability is defined by the relation p = = aĒext, where a is polarizability and Ēext he external electric field that induces the arization. We can obtain an estimate of or a typical neutral atom by making a few ple assumptions: =Ēext is evaluated at the center of the dipole, i.e., the original location of the unnolarized atom.
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- Consider a sphere of radeus R and cylinder of length L both same charge density ats and Eo que elecleric intensity at a faint L it Ec at a distance or from axis of sphere of cylinder rrespectively, the Es equal to & ER Ecr ©2 Ecr @ Ecr 6 r R R 2RQuestion 1 a) Prove that, the electric field reigning in between the plates of a parallel plate capacitor, is constant. Hint: Show, via using Gauss Law that a uniformly charged infinite plane of surface density o, creates at any altitude above or below it, an electric field intensity E= a/2eo, written n MKS unit system. b) Despite this result, the electric field intensity between the plates of a capacitor amounts to E= alɛo Why? Is the outcome valid near the edges of the plates? c) The width between the plates is d. The electric potential between them amounts to, V=Ed. Why? d) Suppose the surface area of each plate is S, and the intensity of the stored charge is q. Show that the capacitance C=q/V, can be expressed as C=Sedd. e) The MKS unit for C'nin is Farad (Coulomb/Volt). Suppose C=Ix10-1² Farad, and V=1Volt. How many electrons under the given circumstnaces are moved form one plate to the other? The electron charge intensity is e=1.6x10-19 Coulomb.Find the electric field generated by q= 8nC at point (-3,2,4)cm Use this formula to solve:
- Consider the special shape pictured in the diagram below. It is a cylinder, centered on the origin with its axis oriented along z, and it has been partially hollowed to leave two cone-shaped cavities at the top and bottom of the cylinder. The radius of the object is a, its height is 2a, and the solid part of the object (the shaded region that is visible in the rightmost panel of the illustration above, which shows a drawing of the cross-section of the object) has a uniform volume charge density of po. Assume that the object is spinning counter clockwise about its cylinder axis at an angular frequency of w. Which of the following operations is part of the calculation of the magnitude of the current density that is associated with the motion of the rotating object as a function of r (select all that apply)?R OI A very thin spherical plastic shell of radius R = 18 cm carries a uniformly distributed negative charge of Q = -8 nC on its outer surface. An uncharged solid metal block is placed nearby. The block is w = 9 cm thick and is 9 cm away from the surface of the sphere. Calculate the magnitude of the elec- tric field at the exact center of the conductor generated only by the polarization of the con- ductor. In other words, do not include the electric field generated by the sphere. Answer in units of N/C.: In a box you find objects that come in three different colors: Green, Yellow, andPink. You’re told that each color corresponds to a charge state, either positive (+), negative (-), orneutral. You experiment and find that…Green is attracted to Yellow. Yellow is attracted to Pink Green is repelled by Green. Pink is repelled by Pink.What colors are the charged (either positive or negative) objects? What color is neutral object?
- A circular surface charge with density ps, radius ra and with its axis is coinciding with the z axis is said to be located on the z = zo plane. Assume that zo is greater than zero. By using appropriate law obtain the electric field intensity induced by this structure at a point of (0, 0, h) where h is greater than zo.Calculate the charge density, P, associated with the electric field E (with linear distances expressed in m and coefficients with appropriate units) is: costante in tutto lo spazio; uguale a (3, 4,0)=0; 480 (3xz, 4y +z+1, -x + y) expressed in V/m identicamente nulla;Two line accuse dissemination of uniform charge densities, rho(1) and rho(2) are put on xy, plane as it seen from figure. In the event that rho()=3rho(2), decide electric field at P(2,0). 1 P1 P2 1 2
- electromagnetisma The polarization vector in a dielectric tube of inner radius r; and outer radius r. is P = Po(a, 2x + ây3y). The axis of the dielectric tube defined by zoz20 coincides with the z-axis. a) Determine the equivalent polarization surface and volume charge densitites. b) Show that the total bound charge is zero.a charge of 2C is at (3, 0, 0). what charge must be placed at (-3, 0, 0) which will make y component of total E zero at the point (2, 3, 3)?This is engineering Electromagnetics. Provide solution