The potential of some electric field is φ = the picture below. Find the modulus of the vector E and its projection on the x, y, z axis and also the vector rot E
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The potential of some electric field is φ = the picture below. Find the modulus of the vector E and its projection on the x, y, z axis and also the vector rot E


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- O Perfectly Inelastic O Inelastic Which circle shows the relationship of the values indicated in Ohm's Law VOLIS Rx ERRXI WATTS Exl AMPS P/I PxR P/R E/I OHMS P/E E/RP/ It is a collision in which both conservation of momentum and conservation of kinetic energy are observed. * O Perfectly Elastic O InelasticIndicate true or false in each of the following statements: For an isolated positively charged metal plate electric field lines will leave both sides of the plate. v The elctric flux from a surface is the cross product of the electric field vector and the area vector. v Electric field lines start on a positively charged surface. A Gaussian surface can be any closed surface that suites the problem The electric field outside a charged conductor is perpendicular to the surface.The uniform electric field E in the air outside the plane boundary of an LIH dielectric material is at an angle of 30° to the normal to the The relative permittivity & of the dielectric is 3.0. Find the angle that the electric field in the dielectric makes with the normal. Clearly state any boundary conditions that you boundary, as shown in Figure 2. use. 30° Eair air dielectric € = 3.0
- In the Millikan oil drop experiment, the charge of an electron is measured by placing an ionized oil drop of mass, m, and net charge, e, between the conducting plates of a parallel plate capacitor that produces a vertically downward electric field as shown in the diagram below. If the electron is in static equilibrium between the plates, which of the following is the correct expression for the electron charge of magnitude e? The voltage difference between the capacitor plates is V and the distance between the plates is d. a. V/(mgd) b. mgV/d c. d/(mgV) d. Vd/mg e. mgd/VThe picture on the right shows a plate capacitor. You may assume that the two plates are very large compared to the separation between the plates (i.e. you may treat them as 'infinite' planes). The plates are charged to ±Q, each plate has an area of A, and the plates are separated by a distance d. The x-axis in this problem is pointing from the negative to the positive plate, with the origin at the negative plate. The electric field at point 2 has a magnitude of E. E=3000 A=1 m² d = 8 mm c. What is the electric field strength at point 1? d. What is the charge Q on the plates? ·area A IT +Q €0=8.85 x 10-12 -a X=0 e. What is the electric field strength at point 3? Part A: a. In the picture, sketch the electric field between the plates by drawing the field lines. b. Find the surface charge density n on each plate. Nm² 12 x(mm)Find the capacitance of two concentric spherical metal shells, with radii a and b. This is a spherical capacitor
- Consider a solid cylindrical conductor of inner conductor radius 61 cm and outer conductor radius 84 cm with charge Q that is coaxial with a cylindrical shell of negligible thickness. Find the capacitance, in nF, of this cylindrical capacitor if its length is 74 m and the insulator used is mica (εr = 6).When can the approximation of infinite of large plates be applied? O it can always be approximated When the square root of the area of the plates is much greater than the separation distance When the square root of the separation distance of the plates is much greater than the surface area O When the capacitor is very small