A Gaussian surface has the form of a cube. If 4 nC of charge is placed inside the cube and 3 nC of charge is placed outside the cube, what is the electric flux through the sides of the cube? Answer in N-m²/C.
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- An unknown charge sits on a conducting solid sphere of radius 13 cm. If the electric field 21 cm from the center of the sphere has magnitude 3.5 × 103 N/C and is directed radially inward, what is the net charge on the sphere?A charge of uniform volume density (20 nC/m3) fills a cube with 6 cm edges. What is the total electric flux through the top surface of this cube?A box with a cross-section of 1m x 1m x 1m is surrounding a plan of charge. The uniform electric field is equal to 8 N/C. The total electric flux through this box is
- A disk with a radius of 0.10 m is in a uniform electric field with a size E = 2x10 ^ 3 N / C. The normal unit vector of the disk makes an angle of 30 degrees with E. How much is the electric flux through the disk?A uniform electric field of magnitude 5.7 x 104 N/C is at an angle of 10° to a square sheet with sides 5.5 m long. What is the electric flux through the sheet? Hint Electric flux is E N.m²/C.A solid, insulating sphere of radius a = 2 cm has been charged uniformly by a density ρ = 100 µC/m3. The magnitude of the electric field (in N/C) at a point inside sphere 2 cm from its center is....?
- A point charge Q produces an electric flux of Ø = +210 N · m²/C through a gaussian sphere of radius r, = 9 cm centered on the charge. [eo = 8.85x10-12 c²/N.m²] a) What is the flux through a gaussian sphere with a radius rɔ = 20.0 cm? N.m?/C b) What is the magnitude and sign of the charge Q? x10-°C c) What is the magnitude of the electric field E, at radius r1 = 9 cm? x103 N/CTwo conducting hollow spheres share a common center. The inner sphere has the radius a = 5.0 cm and charge +3.2x10-6 C. The outer sphere has the radius b = 32 cm and charge -4.0x10-6 C. What is the electric field (in N/C) at a point P, r = 20 cm from the center of the spheres?Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distancer from the common axis. The vertical axis scale is set by E, -4.5 x 10° N/C. What is the linear charge density of the shell? Number E r(cm) (A) Units 13.8
- A long nonconducting cylinder (radius 6.0 mm) has a nonuniform volume charge density given by ar, where a= 6.2 mC/m' and r is the distance from the axis of the cylinder. What is the magnitude of the electric field at a point 2.0 mm from the axis?The figure below shows a non-conducting spherical shell with a charge density of ρ = + 2 x 10-6 C/m^3. If the inner and outer radii of the sphere a = 10 cm and b = 20 cm, respectively, find the electric field strength E as a function of the distance from the center of the sphere's shell r, with r from zero to 30 cm.A point charge is located at the origin. Centered along the x axis is a cylindrical closed surface of radius 10 cm with one end surface located at x = 2 m and the other end surface located at x = 2.5 m. If the magnitude of the electric flux through the surface at x = 2 m is 4 N . m2 /C, what is the magnitude of the electric flux through the surface at x = 2.5 m? Select one: a. 1.8 N . m2 /C b. 2.56 N . m2 /C c. 1.0 N . m2 /C d. 4.0 N . m2 /C e. 5.0 N . m2 /C