A particle with charge Q = 3 nC, is located a small %3D distance 6=0.1mm above the center of the flat surface of a hemi- sphere of radius R= 3 cm. The net flux (in N.m2/C) through the curved surface of a hemi-sphere :is
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- A uniform surface charge density of 8.2 nC/m2 is distributed over the entire xy plane. What is the flux through a spherical Gaussian surface centered on the origin and having a radius of 4.6 cm?___________ N · m2/CA hollow long conducting thin cylindrical shell of radius a= 1.12 cm carries a surface charge density o=35.4 nC/m-. Find the electric field E (in N/C) at point (A) located at a distance r= 12.0 cm from the cylinder axis.A charge Q-7.14 nC is located at the center of a Gaussian sphere of radius R=10.0 cm. The sphere lies within a uniform upward electric field of magnitude E=2100 N/C. The net electric flux through the sphere is :
- A volumetric infinite cylindrical shell is charged uniformly with p c/m?. The inner radius of the shell is R, and the outer radius is R2. The electric field at a point away from the axis of the shell by r is ( while R2 < r) Select one: O a. 0 O b.p(r2 - R)/(28,r) O d. p(R- R$)/(2E,7) O e pr3-R)/(2 TE r)A charge of 7.60 pC is spread uniformly throughout the volume of a sphere of radiusr= 4.15 cm. What is the magnitude of the %3D electric field at a radial distance of (a)6.29 cm and (b)3.23 cm?A non-conducting sphere with radius R1= 0.026 m and uniformly distributed charge q= 9.9 nC has a concentric spherical cavity (hole) with radius R2=0.23R1. Determine the electric field at r=0.73R1 Express your answer in N/A to three significant figures.
- A uniformly-charged wire (A=106.2 nC/m) penetrates a spherical surface of radius R= 118 mm through its center. Find the net flux (in N m2/C) through the surface. RAn uncharged nonconductive hollow sphere of radius 11.0 cm surrounds a 16.0 µC charge located at the origin of a cartesian coordinate system. A drill with a radius of 1.00 mm is aligned along the z axis, and a hole is drilled in the sphere. Calculate the electric flux through the hole.A charged particle is held at the center of two concentric conducting spherical shells. Figure (a) shows a cross-section. Figure (b) gives the net flux & through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by o, = 5.0×10° N.m/C. What are (a) the charge of the central particle and the net charges of (b) shell A Q3. and (c) shell B? (a) (B) (10°N• m/C)
- An unknown amount of the charge is located at the center of a sphere of radius 15 cm. The total flux is 10,000 Nm^2/c. What is the charge magnitude ?Lusot. An electric field is = 300 [N/C] i forz> 0 and E= -300 [N/C] I for z <0. A cylinder of length 20 [cm] and radius 4 [cm] has its center at the origin and its axis along the z-axis such that one end is at z = +10 [cm] and the other is at z = -10 [cm] as shown. What is the net outward flux through the entire cylindrical surface? y.cm 20 cm OA -1.51 [N m³/C] OB. 0[N-m²/C] OC. 1.51 Nm²/C OD. 3.02 [N-m²/C 14 cm x.cmA point charge Q= 2.0 µC is fixed on the x axis as shown in the figure. Another particle of charge q=4.0 nC and mass m=4x10/ kg is released from rest at a distance x=9 cm from Q (point A). Find the final speed (in m/s) of the particle at infinity. A