H.W. 3 A sphere of radius b [m] carries a volume charge density of p, [C/m³]. Inside this sphere there is a spherical hole of radius a [m]. This hole is not concentric with the outer sphere, its center is shifted by a distance d [m] on the z - axis from the center of the outer sphere. Calculate the electric filed intensity at a point outside a sphere of radius b.
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- please answer all parts3. A particular scalar field a is given by a. a=20 ex sin(πy/3) in Cartesian b. a=10psin() in cylindrical c. a=30cos(e)/r² in spherical find its Laplacian at P(-2,4,-6) for Cartesian, P(√2,π/2,7) for cylindrical and P(5, 30°, 60°) for spherical coordinate systems.I'm a little confused here. Why is E = (1/e0) *integral row dx? Isn't Integral(E dA) = Qenc/e0 = integral (row dV)/e0. I'm not sure if what you wrote follows from Gauss' Law. Where did you expression from for the junction potentional? I don't see it my book or anywhere else.
- Problem 1 (25%) An infinite plane slab of thickness 2d (the slab is located between z=-d and z=d) carries a uniform volume charge density p. Using the Gauss's law, find the electric field as a function of z inside and outside the slab. Plot schematically the dependence of the electric field as a function of z. 2d $000I just need help with Part D I don't know how to do itProb.6 An insulating solid sphere of radius R = 6.0cm has a total positive charge Quniformly distributed throughout its volume. The electric flux through a spherical Gaussian surface of radius r = 3.0cm is 2.26x10°N.m2/C. R Gaússian surface [a] How much charge (in units of uC) is enclosed by the Gaussian surface of radius r =3.0cm? (Example: if your answer is 3.4x10°C = 3.4 µC, enter your answer as 3.4 in the answer box).
- Plz correct solution.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.Quick