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- Two spherical cavities, of radii a and b, are hollowed out from the interior of a (neutral) conducting sphere of radius R (see attatched image). At the center of each cavity a point charge is placed. Call these charges qa and qb. Find the surface charge densities σa, σb, and σR.Find the electric field at the top point of a right circular solid cone of charge Q, uniform density. The cone has a radius a and a height h.A positively charged disk of radius R and total charge Qdisk lies in the xz plane, centered on the y axis (see figure below). Also centered on the y axis is a charged ring with the same radius as the disk and total charge Qring: The ring is a distance d above the disk. Determine the electric field at the point P on the y axis, where P is above the ring a distance y from the origin. (Use any variable or symbol stated above along with the following as necessary: k.) magnitude E = direction ---Select--- y P R
- Find the electric field a distance z above the center of a flat circular disk of radius R with a uniform surface charge density σ. Does the field fall off as expected (the inverse square of distance) when z >> R?please can somone help meThe question is attached to this post. This problem is noncalculator question and please give full reasoning to the answer.
- Consider an infinite line of charge with a constant charge density of À lying on the z-axis. Using Coulomb's law to write the equation of dĎ at any point (xo, 0, 0). Write all vectors in vector notation clearly also draw the figure showing all the important vectors as you saw in the video lectures as well as in our class lectures.Please write all details and properties. I would much appreciate it a lot. Any property or remark, regardless of how insignificant, please include in the answer. Thank you very much.An ∞ -planar slab of thickness 2d has constant charge density p, and p=0 for [y]>d. Find E everywhere. Find V everywhere (state your choice of reference). X 2 P .24
- A disk of radius R and mass M has a nonuniform surface charge density sigma = Cr, where C is a constant and r is measured from the center of the disk. find the constant c in terms of the mass M and R?Shown in the figure below is a hollow disk of charge. The disk carries a charge density ? and has an inner radius R1 and an outer radius R2. You are to calculate the magnitude of the field at the point P which is a distance z above the plane of the disk. Determine the area element, dA = Determine the charge element, dQ = Determine the distance, s = Determine the so-called, cos(?) = Determine the integrand, ∬ Determine the lower bound of the ? integral: Determine the upper bound of the ? integral: Determine the lower bound of the r integral: Determine the upper bound of the r integral: Determine the final result of the integration: NOTE: Please use k in your answers. Please do not use ?0.Calculate the electric field at height h above the center of a square plate of size 2a×2a with uniform surface charge density η (both direction and magnitude). Verify that in the limit of large a the result agrees with the field of an infinite uniformly charged plane.