Q2 Let D = x3x+2z²ŷ + 4yzz and evaluate surface integrals (not volume) to find the total charge enclosed in the following: (a) Sphere centered at the origin with radius 2. (b) Box with one corner at the origin and side length of 2. 2 z 2 (a) (b) Z
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- You drop your smartphone and crack the battery. As the lithium-ion components start to mix, the phone is charged to uniform surface charge density o. Using the given dimensions, Determine the electric field vector at a point P, which is a distance d above the center of the clock. O W h P 0Please AsapProblem 1 The figure below shows three concentric conducting thin spherical shells: • Sphere A of radius R₁ = 6 cm and a total charge QA = 2 nc. • Sphere-B of radius Rg = 21 cm and a total charge QB = -4 nC ⚫ Sphere-C of radius Rc 78 cm and a total charge Qc Qc is an unknown charge. Re RB RA B 1 What is the net electric flux o through the spherical surface of radius r = 13 cm from the center of the spheres? 2 spheres? E= 3. spheres? E= What is the magnitude of the electric field E at r = 59 cm from the center of the What is the magnitude of the electric field E at r=2 cm from the center of the 4. If the magnitude of the electric field is E 192 N/C at r = 93 cm from the center of the spheres, calculate Qc. Qe=
- A solid insulating sphere of radius R =5.00 cm has a non-uniform charge density p = Por2, where r is measured from the center of the sphere and po is constant. Concentric with this sphere is a conducting spherical shell with inner radius a = 7.00 cm and outer radius b = 9.00 cm, having a net charge q = -1.00 µC. a) Find the value for the constant po (including units), given that the total charge on the insulating sphere is Q = 4.00 nC. Be sure to first derive expression in symbolic form in terms of Q, R. Box both the symbolic expression and the final answer. b) Derive an expression for electric field forr b. Box it. e) Draw an E vs. r graph and show the values for E at distances R, a, b.Problem 3 Consider a ring and a disk parallel to each other with their central axes along a common line. The disk, located at the origin (point O), has a uniform charge density σ =-5 nC/m² and radius Rdisk 11 m. The ring, located at x=d, has a uniform charge Gring -1 nc and radius Ring -9 m. The magnitude of the total electric field at the center of the ring (point A) is E-157 N/C Disk Ring d Ө Find the charge of the disk disk B Find the linear charge density of the ring Aring" Find the distance between the ring and the disk d= The total electric field vector Etat at x = d is in the direction. The total electric field vector Etotal at x=d+2 is in the direction. Find the electric field magnitude at point B located 9 m from point A, due to the ring only Ering 7. Find the electric field magnitude at x = 15 m from the origin, due to the disk only EdiskGiven a non-uniform SURFACE charge density o= ko r z cos q, ko constant, r, o,z are cylindrical coordinate variables 12. Find the total "Q" placed on a closed cylinder of radius "R" and length "L" centered on the origin with one base in the x-y plane, along the positive z-axis.