Find the electric field both inside and outside a non-uniformly charged sphere. The total charge is Q = 12µC, radius of R = 6cm, and a charge density p= constant x r. a. What is the electric field for r<6cm? b. What is the electric field for r> 6cm?
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what is the electric field for r<6cm ? what is the electric field for r>6cm ?
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- a 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.A 20 [cm] radius ball is uniformly charged to 80 [nC].a) What is the ball’s volume charge density [C/m*3]?b) How much charge is enclosed by spheres of radius 5, 10, and 20 [cm]?c) What is the electric field strength at points 5, 10, and 20 [cm] from the center?c. i. Compare the electric flux in a cubical surface of a side 10cm and spherical surface ofradius 10 cm, when a charge of 5µC is enclosed by them.ii. How does the electric field enclosing a given charge vary when the area enclosed bythe charged is doubled. Assuming the electric flux is constant.
- A 12-cm -long thin rod has the nonuniform charge density λ(x)=(4nC/cm)e−|x|/(6.0cm) , where x is measured from the center of the rod. Part A What is the total charge on the rod? Hint: This exercise requires an integration. Think about how to handle the absolute value sign.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)?A shere of radius R = 0.35 m has a volume charge distribution described by: ρ(r) = ρ0 (1− r/R) for r ≤ R, where ρ0 = 18.5 μC/m3. a. What is the total charge on the sphere? b. What is the strength of the electric field produced by the charge distribution at a distance 0.21 m from the center of the sphere? c. What is the strength of the electric field produced by the charge distribution at a distance 0.4025 m from the center of the sphere? d. Graph the electric field as a function of r between r = 0 and r =0.4025 m.
- The electric field at a distance of 0.154 m from the surface of an insulating solid sphere of radius 0.385 m is 1970 N/C. Assuming that the charge on the sphere is uniformly distributed, a) what is the charge density within it? b) Calculate the electric field inside the sphere at a distance of 0.150 m from the center.I am stuck on how to solve this problem. Find the electric field at the location of qa in the figure given that qb = +2.50 nC, qc = - 3.50 nC, qd= 0.000 nC , q = +2.00 nC , and the square is 18.0 cm on a side. a) The electric field magnitude and vector angle at qa due to qb? (Would it be the same format for qc and q?) b) The NET electric field and magnitude and vector angle at qa?A uniformly charged conducting sphere of 1.2 m diameter has a surface charge density of 8.1 µC/m2.(a) What is the net charge on the sphere?(b) What is the total electric flux leaving the surface of the sphere? Show step-by-step calculation. Please Don,t copy.
- A quadrilateral plate having a side length of 0.5m with A at 40® to a uniform electric field E of magnitude 3.0 x 103 N/C. (a) What is the electric flux through the disk? (b) What is the flux through the disk if it is turned so that ?⃗ is perpendicular to ?⃗⃗? (c) What is the flux through the disk if ?⃗ is parallel to ?⃗⃗?The volume charge density of a spherical charge distribution is given by rho(r) = rho0e−alpha(r), where rho0 and alpha are constants. What is the electric field produced by this charge distribution? (Enter the radial component of the electric field. Use the following as necessary: rho0, alpha, r, and ?0.)The volumetric charge density of a cylinder of radius R is proportional to the distance to the center of the cylinder, that is, ρ = Ar when r≤R, with A being a constant. (a) Sketch the charge density for the region - 3R < r < 3R. What is the dimension of A?b) Calculate the electric field for a point outside the cylinder, r > Rc) Calculate the electric field for a point inside the cylinder, r<R.d) Sketch Exr