2. A solid non-conducting cylinder has a radius A and a volume charge density =a+B where a and ẞ are constants. p(r) = r a. What is the total charge on the cylinder? b. What is the electric field everywhere (r< A and r > A)?
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- 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?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 epsilon0.)2. (a) Explain briefly the advantages of Gauss’s law over Coulomb’s law for thecalculation of the electric field.(b) A spherical ball of charged particles has a uniform charge density throughoutits volume. If the radius of the ball is 10 cm, find the radial distance both inside and outsidethe sphere where the electric field is one-third of the maximum electric field.
- #2. (a)Explain briefly the advantages of Gauss’ law over Coulomb’s law for thecalculation of the electric field.(b)A spherical ball of charged particles has a uniform charge density throughoutits volume. If the radius of the ball is 10 cm, find the radial distance both inside and outsidethe sphere where the electric field is one-third of the maximum electric field.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 ?⃗⃗?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.
- 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 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.A solid ball with a 0.5m radius has 10uC charges in its center. Determine the electrical flux pass through the solid ball. a.) What is the electric field on the surface? b.) What is the electric flux that passes through the area? c.) What is the measure of the angle formed by vector dA and electric field? d.) What is the surface area of the sphere?
- Electric Flux & Gauss' Law A spherical conductor with radius 40 cm has a surface charge density of +15 C/m2. a) what is the total charge on this sphere? b) What is the electric flux that passes through the gaussian sphere 2.3 m?In Figure 1, a non-conducting rod of length L = 10.0 cm has a charge –q = -3.0 fCuniformly distributed along its length.a) What is the linear charge density of the rod?b) What are the magnitude and direction of the electric field produced at point P, atdistance of a = 6.00 cm from the rod?c) What is the electric field magnitude produced at distance a=50m by the rod?(a) Find the net electric flux through the cube shown.(b) Can you use Gauss’s law to find the electric field on the surface of this cube? Explain.