Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
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Find the electric potential at a distance h from the center of a disk of radius R, with a charge distribution
homogeneous σ
Show that electric potential for a shell whose radius is R, has charge q uniformly distributed on its entire surface, is the same as electric potential for a conductor (Solid) has radius R and charge q.
A 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 =
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- Suppose that we have a conductive sphere to the radius ( a ) containing the specific potential ( v0 ) this sphere we positioned in the center of a charged ring to the radius ( b ) , solve the problem of the total Q loop using the potential images of this system at a point such as P .arrow_forwardFind the electric potential at a distance h from the center of a ring of radius R, with a charge distribution homogeneous λarrow_forwardThe superposition of three potentialsIn a xy plane, we fix a 1uC particle A at the origin and a 2uC particle B at (x=4m; y=0). (a) Calculate the electric potential in (x=4m; y=3m). (b) Where should a C particle of -4uC be placed so that the potential at (x=4m;y=3m) is zero?arrow_forward
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