Problems 4.1 Dipole Moment Practice Find the electric dipole moment of: (a) a ring with charge per unit length A = Ao cos o where o is the angular variable in cylindrical coordinates.
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- part 1 of 2 A uniformly charged, straight filament 6 m in length has a total positive charge of 2 µC. An uncharged cardboard cylinder 2 cm in length and 5 cm in radius surrounds the fil- ament using the filament as its axis of sym- metry, with the filament as the central axis of the cylinder. Find the total electric flux through the cylinder. The permittivity of free space is 8.8542 x 10-12 C²/N. m². Answer in units of N-m²/C. part 2 of 2 What is the electric field at the surface of the cylinder? Answer in units of V/m. Your response... i PALETTE Your response... i PALETTEI only need help with question c. Please help. thankscan you solve only d please
- Problem 25.42 Part A A 2.0nC charge is at the origin and a -4.0nC charge is at T = 1,3cm At what a-coordinate could you place a proton so that it would experience no net force? Express your answer to two significant figures and include the appropriate units. HA ? Value Units Submit My Answers Give Up Part B Would the net force be zero for an electron placed at the same position? O Yes O No Submit My Answers Give UpPLEASE write the solution on paper.Problem 5.2 Concentric spherical shells d A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q. 1. What is the charge on: The inner surface of the inner shell The middle of the inner shell The outer surface of the inner shell The inner surface of the outer shell The outer surface of the outer shell 2. Calculate the electric field E (magnitude and direction) in terms of q and the distance r from the common center of the two shells in each of the cases below. Be sure to start by writing down the integral form of Gauss's Law and explain all of the assumptions you make. (a) rProblem #1 A hollow metal sphere of radius 4 cm has a charge of 20 nC distributed evenly on the entirety of the surface. Find the surface charge density (o).Part B What is the maximum mass mmax that would prevent the particle from falling indefinitely? Express your answer in terms of some or all of the variables q, o, R, the acceleration due to gravity g, and the electric constant €0. mmax = Submit ΑΣΦ Request Answer Consider an infinite flat sheet with positive charge density in which a circular hole of radius R has been cut out. The sheet lies in the zy-plane with the origin at the center of the hole. The sheet is parallel to the ground, so that the positive z-axis describes the "upward" direction. If a particle of mass m and negative charge - sits at rest at the center of the hole and is released, the particle, constrained to the z-axis, begins to fall. As it drops farther beneath the sheet, the upward electric force increases. For a sufficiently low value of m, the upward electrical attraction eventually exceeds the particle's weight and the particle will slow, come to a stop, and then rise back to its original position. This sequence…PROBLEM 1 Refer to figure 1 below. Three charges, 9₁, 92 and q3 are located equidistant from the point O. Determine the relationship between the ratio of 23 and the angles and ₂ such that the electric field 91 at is 0. (Note that trigonometric functions may be used to describe the relationship). I. II. III. IV. V. VI. 92 Figure 1 Draw and appropriate co-ordinate system to solve the problem. Using your co-ordinate system write the magnitudes and directions of the electric fields from the 3 charges. Using the notation E = |E|î write the vector sum of the electric field at point 0. Solve the E equation for 92. Use this value of q2 in the If q₁ =q2 = q, determine a new relationship between 23 in terms of the angles 0₁ and 0₂. q (0₂ equation to solve for the ratio 2³ in terms of the angles and 0₂. 91 r r 91 93