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Class:
Consider a fixed hollow spherical shell with radius R and surface charge +? (sigma).
A particle with mass m and charge -Q that is initially at rest falls in from infinity. Assume
that a tiny hole has been cut in the shell to let the charge through. Determine the speed of
the particle when it reaches the center of the shell. Your answer should be a function of ? (sigma),
Q, and m.
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- $ Q2/Evaluate D.ds side of the divergence theorem for the field D = 2xyax + x'yay C/m² and the rectangular parellelepiped formed by the planes x = 0 and 1, y = 0 and 2, and z = 0 and 4.a)What is the magnitude of the electric field at a distance of 0.1 nm from a thorium nucleus? b)What is the magnitude of the force on an electron at that distance? c)Treating the electron classically, that is, as a point object that can move around the nucleus at reasonably slow speeds, what is the frequency of the electron's motion? d)Again treating the electron classically, how fast it it moving? e)What would the magnitude of the force be if the distance of the electron from the nucleus were doubled?It's an electromagnetics problem.
- Subject: Electromagnetics A ring with radius r has charge -Q uniformly distributed around it. The ring is located a distance h from an infinite grounded conducting plane. Let z be the vertical coordinate with z = 0 taken to be the center of the infinite conducting plane.a. Find the electric field above the conducting plane and the induced surface charge density on the plate. Your answers should be a function of Q, r, and h.b. If the ring is released from rest at a distance h from the infinite grounded conducting plane, determine the speed of the ring when it is located h/10 from the infinite grounded conducting plane.Is the answer for the image below 6.8, 6.81, or 6.82As shown below, particle C is located at (0 cm, 19 cm), particle D is at the origin, & particle E is at (19 cm, 0 cm). Additionally, qc = -11 µC, qp = 9 µC, & qɛ = -10 µC. A.) Determine the magnitude & components of the electric force that C exerts on E. Let up & right be positive. FCE = FCE,X FCE,Y B.) Determine the magnitude & components of the electric force that D exerts on E. Let up & right be positive. FDE FDE,X FDE,Y D E C.) Determine the components, magnitude, & direction of the net electric force on E because of C & D. Fnet,x Fnet,y Fnet direction of Fnet %3D ° relative to the HORIZONTAL in quadrant Choose quadrant ---