Problem 2.9Suppose the electric field in some region is found to be E = kr ³f, in spherical coordinates (k is some constant). (a) Find the charge density p. (b) Find the total charge contained in a sphere of radius R, centered at the origin. (Do it two different ways.)
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Q: Consider a spherical surface of radius R centered on the origin and carrying a uni- form charge…
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- Find the electric field a distance z from the center of a spherical surface of radius R (See attatched figure) that carries a uniform charge density σ . Treat the case z < R (inside) as well as z > R (outside). Express your answers in terms of the total charge q on the sphere. (Hint: Use the law of cosines to write r (script) in terms of R and θ . Be sure to take the positive square root: √(R2+z2−2Rz) = (R−z) if R > z, but it’s (z − R) if R < z.)Problem 2.01. Three plates with surface charge density |o| = 8.85 μC/mm² are stacked on top of each other. The top and bottom plates have charge density to while the center plate has charge density -0. (a) Find the magnitude and direction of the electric field between the plates. (b) Find the magnitude and direction of the electric field above and below the plate stack.I only need help with question c. Please help. thanks
- 2.6An infinitely long cylindrical conductor of a radius r is charged with a uniformly distributed electrical charge, if the charge per unit length of it equal A coulomb/m. ( using gauss law) calculate the electric field at point d. d.A charge of 22.2 pC is distributed uniformly on a spherical surface (r1 = 2.0 cm), and a second charge of-9.2 pC is distributed uniformly on a concentric thin spherical surface (r2 = 4.0 cm). Determine the magnitude of the electric field ( in units of N/C) at a distance of 5.0 cm from the center of the two surfaces. Select one: O A. 3.90 O B. 46.80 OC. 32.50 OD. 59.80 OE. 113.04
- NoneSolve 4,5Problem 2 Consider the Gaussian surface shown in Figure 2. A uniform external electric field E, having magnitude 3.20 x 103 N/C and parallel to the xz plane with an angle of 36.87° measured from the +x axis toward the +z axis, enters through face 1 (back face). In addition, a uniform electric field E, of magnitude 6.40 x 103 N/C traveling in the same direction as E, , flows outwardly through face 2 (front face). 0,45 m 0,30 m En 0.50 m Figure 2. Gaussian surface in the form of a prism through which two fields pass.