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A sphere of radius R, centered at the origin, carries charge density
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- Find the electric potential inside and outside a uniformly charged spherical shell of radius Rarrow_forwardA ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin. What is the potential V(z) due to the ring on the z axis as a function of z? What is the magnitude of the electric field E on the z axis as a function of z, for z>0?arrow_forwardFind the electric potential difference between two charged spherical surfaces with charge +q and –q, radius Ra and Rb, respectivelyarrow_forward
- Consider a thick insulating spherical shell of a uniform volume charge density with a total charge Q = 6 Mu-C, an inner radius a = 10 mm, and an outer radius b = 60 mm. Find the electric potential for r = 55 mm.arrow_forwardA disk of radius R has a nonuniform surface charge density sigma = Cr, where C is a constant and r is measured from the center of the disk. Find (by direct integration) the potential at P.arrow_forwardA square loop of side L = 7.5 cm is located in the x-y plane with the center of the loop at the origin. The loop carries a uniformly distributed charge Q = 66 μC. L = 7.5 cm; Q = 66 μC a. Enter an expression for the linear charge density, λ, in terms of Q and L. λ = b. Find the electric potential, in kilovolts, at the origin due solely to the charge on the bottom side of the loop by integrating the infinitesimal contributions to the potential from the side’s infinitesimal segments. V1 = c. Use symmetry to determine the electric potential at the origin due to the entire loop. Give your answer in kilovolts. V =arrow_forward
- Given the potential function V = x2y(z+3), determine the electric potential at (3, 4, -6).arrow_forwardA rod sits horizontally along the x-axis with a continuous uniform charge distribution such that the linear charge density λ is 0.025 C/m, with one end of the rod at the origin and the other end of the rod at x = 0.35m. Find the electric potential at the point on the x-axis where x = 0.45 m given that the potential an infinite distance from the rod is defined as being equal to zero.arrow_forwarda circular ring having radius R and lying in x-y plane with its center at origin carries a uniformly distributed charge q. calculate the electric potential everywhere for r > R.arrow_forward
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