Q3) Find the potential u(r, 9) inside a ring 1
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- If the electric field in the region is given as E = 4 (z ax – y ay + x az) V/m. Determine the potential at point A(-1, 3, 7) m, in volts, if the potential at point B(3, 7, 8) m is 77 volts.For a charged conductor, the electric potential within a hollow empty space inside the conductor equals the electric potential at the surface. the electric potential is always independent of the magnitude of the charge on the surface. the electric potential is always zero at any point inside it O the electric potential is always zero at any point on the surface.Which of the followings is the electric potential at the origin formed by an arch of radius r = R and with nonuniform linear charge density given by λ = 2, Cos(0). a) kλ b) 0 c) 2kA d) ko e)ko 0 diğini görene kadar hekleyiniz. x
- A very thin rod carrying linear charge density A lies in the ay plane making angle 1/4 with the x axis as shown in the figure. The x coordinates of the left and the right ends of the rod are a and b, respectively. Find the electric potential at the origin (point O), sin(7/4) = cos(7/4) = (k is the Coulomb's constant.). y T/4 x=a x=b Select one: |kA In(1+ v2"+ D, |kA In(1 + ª +b, a a+b kAV2 In(1+ b kA In(v2-) kA In(-) aA single isolated point charge is carrying a charge q = 3 [nc]. As shown in the figure, two equipotential surfaces consist of two spheres centered on the point charge: o Sphere 1 of radius r₁ = 1 [m]. o Sphere 2 of radius 72 > 11 where r2 is unknown. 1) Find V₁, the electric potential on the surface of Sphere 1. V₁ [V] 27 If Sphere 2 is separated 2) from Sphere 1 by a difference of potential AV = 86.7 [V]. q --Sphere2 Sphere1 2 Find r2, the radius of Sphere 2 (Type the detailed solution to this question in the below box, Show all your calculation steps by typing in the box). 3) Find the work required to bring an electron (g-1.6 x 10-19) [C] from Sphere 2 to Sphere 1 considering that AV = 86. 7 [VI. W= -1.387E-17 [J]Suppose we have an electric potential that is a function of z and the distance in the transverse plane, Vx2 + y?. In other words, o → ¢(rl,z). Show that the gradient can be written V¢ = dz Similarly, suppose we have a potential that is purely a function of the distance, r = from the origin. Show that the gradient can be written Vx2 + y2 + z², Vø = ar
- An isolated conducting sphere of radius r1 = 0.20 m is at a potential of -2000V, with charge Qo. The charged sphere is then surrounded by an uncharged conducting sphere of inner radius r2 = 0.40 m, and outer radius r3 = 0.50m, creating a spherical capacitor. (a)Draw a clear physics diagram of the problem. (b) Determine the charge Qo on the sphere while its isolated. (c)A wire is connected from the outer sphere to ground, and then removed. Determine the magnitude of the electric field in the following regions: R<r1 ; re<R < r2; r2< R < r3; r3 < R (d) Determine the magnitude of the potential difference between the sphere and the conducting shell. (e) Determine the capacitance of the spherical capacitor.The potential of an electric dipole at the origin is given by gd Compute the electric field E = = = V = k- p2 = cos 0. -VV, where the two-dimensional del operator is given by 1 ə V er + eg= ə Ər Suppose that the dipole as a +2.0 C and a -2.0 C separated by a distance of 0.10 × 10-10 m. Find the electric potential and electric field of the dipole at the distance of 3.0 × 10-¹0 m from the dipole at an angle of 0 = 7/3 from the e, direction. What is the magnitude and direction of the electric field? Note that er e sin + e, cos 0 and e e cose sin 0. r 20What is the electric potential in volts (realative to zero at infinity) at the origin for a charge of uniform density 14.62 nC/m is distributed along the z axis from z=2,5 m to z=5.78 m Round your answer to 2 decimal places.
- Question 3. Using the general expression V(r,0) = Eo (A,r +) P.(cos0) for the potential at a %3D distance r from the center of a sphere shell of radius R. The acceptable expressions for potentials inside and outside the shell are: V(r,e) E, A,r' P;(cos®) (rSR) and V (r,0) = Eo P.(cose) (r2 R) %3D A constant charge density oo is ghed over the surface of the shell Determine the potential inside and outside the shell for this charge distributionB4Q, Find the electric field and charge density at Point P(I,1, 1), when the scalar function of the Potential is given by V =xy%+y°z