Q.1. Consider a thin spherical shell of radius 14 cm with a total charge of 32 µC distributed uniformly on its surface. Find the electric field (a) 10.0 cm (b) 20 cm from the center of the charge distribution
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- The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?Positive charge is distributed in a sphere of radius R that is centered at the origin. Inside the sphere, the electric field is Ē(r) = kr-1/4 f, where k is a positive constant. There is no charge outside the sphere. a) How is the charge distributed inside the sphere? In particular, find an equation for the charge density, p. b) Determine the electric field, E(r), for r > R (outside the sphere). c) What is the potential difference between the center of the sphere (r = 0) and the surface of the sphere (r = R)? d) What is the energy stored in this electric charge configuration?A thick insulating spherical shell of inner radius a=1.2R and outer radius b=5.5R has a uniform charge density p. b. What is the magnitude of the electric field at r=8.9 R ? Express your answer using one decimal place in units of pR €o
- stro Imssb1.mutah.edu.jo/ A charge of 24.4 pC is distributed uniformly on a spherical surface (r1 = 2.0 cm), and a second charge of -8.6 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.A postive charge +4 microcoulombs (µC) is in the center of a hollow spherical conductor with inner radius 1.7 meters and outer radius 3.3 meters.What is the electric field at point A (radius 0.8 meters)? Blank 1. Calculate the answer by read surrounding text. volts/meter.The volume charge density ρ for a spherical charge distribution of radius R= 6.00 mm is not uniform. (Figure 1) shows ρ as a function of the distance r from the center of the distribution. a)Calculate the electric field at r = 1.00 mm. b)Calculate the electric field at r = 1.00 mm.
- Calculate the electric field in N/C at point P, a distance (4.35x10^1) cm along the central axis of a disk of charge with radius (9.157x10^0) cm, and charge density +(8.0860x10^0) µC/m2. You do not need to enter a unit vector in your answer, but must put a negative sign in, if the electric field is pointing along the negative z-axis. RProblem 4. Exponentially Decaying Charge Density. A spherically symmetric charge distribution is described by a volume charge density given byp = Poe¯"/a, where po and a are both positive constants, and r is the distance from the center of the distribution. (a) Determine the electric field at any value of r. (b) Sketch the graph of the electric field magnitude with r. (c) Describe how the electric field varies with the distance r.Consider a thin, spherical shell of radius 12.0 cm with a surface charge density of 0.150 mC/m2distributed uniformly on its surface. Find the electric field:A. 7.0 cmB. 17.0 cm from the center of the charge distribution. Answer is 0 N/c and 8.4414 MV/m
- An infinite cylindrical conductor has an inner radius ra =57.9mm and an outer radius 70.4mm. The conductor has a linear charge density of A₁ =136. On the axis of the cylinder is an infinite line charge with linear charge density ₂ = -9€. Determine the electric field magnitude at the point r = 31.03mm (in) C Oa through c please A charge of -90.4 uC is placed on spherical conductor of radius 10.0 cm. Part (a) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 1.32 cm from the center of the sphere? Give your answer in N/C. Part (b) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 7.08 cm from the center of the sphere? Give your answer in N/C. Part (c) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 17.1 cm from the center of the sphere. Give your answer in N/C.1 ! 7 A skát с A spherically symmetric charge distribution produces the electric field E=( 5400 r²) N/C, where r is in m. Z mylabmastering.pearson.com/?courseld=12649908&key=55673220682936520262024#/ 2 pos W S X 3 20 F3 E D $ 4 C 888 R F What is the electric field strength at r= 16.0 cm ? Express your answer in newtons per coulomb. VG ΑΣΦ 4 Submit Part B Submit Part C What is the electric flux through a 32.0-cm-diameter spherical surface that is concentric with the charge distribution? Express your answer in newton meters squared per coulomb. ΕΠΙ ΑΣΦ % [VG| ΑΣΦ 5 Request Answer V FO Request Answer T How much charge is inside this 32.0-cm-diameter spherical surface? Express your answer in coulombs. G 4 a ^ 6 C 244 MacBook Air Y B SMC & ? 7 H ? N/C 80 F7 N-m²/C U C N H 8 - DII FS 1 ( 9 M DD K chegg.com X C ☆ O O MOSISO O 4 P