L A point charge produces an electric flux of 273 N-m²/C through a Gaussian sphere of radius 22.2 cm centered on the charge. What is the flux through a Gaussian sphere with a radius 77.9 cm?
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- An electric field of magnitude E = 400 N/C points in the +x-direction for x > 0 and in the –x-direction for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x-axis such that one end is at x = +15 cm and the other is at x = –15 cm. What is the flux through each end of the cylinder? Group of answer choices 0.25 kN·m2/C 0.13 MN·m2/C zero 1.3 kN·m2/C 13 N·m2/CA spherical shell of radius 1.40 m contains a single charged particle with q = 38.0 nC at its center. (a) What is the total electric flux through the surface of the shell? N. m²/c (b) What is the total electric flux through any hemispherical portion of the shell's surface? N. m²/cA long straight wire has fixed negative charge with a linear charge density of magnitude 4.8 nC/m. The wire is to be enclosed by a coaxial, thin-walled, nonconducting cylindrical shell of radius 1.2 cm. The shell is to have positive charge on its outside surface with a surface charge densitys that makes the net external electric field is zero. Calculate s.
- A uniformly charged conducting sphere of 1.7 m diameter has a surface charge density of 8.7 µC/m². (a) Find the net charge on the sphere. (b) What is the total electric flux leaving the surface of the sphere? (a) Number (b) Number i Units UnitsA) An imaginary cubical surface with sides of length 5.00 cmcm has a point charge qq = +6.00 nCnC at its center. Calculate the electric flux through the entire closed cubical surface. Express your answer with the appropriate units. B)Calculate the electric flux through one of the six faces of the cube.infinitely long cylinder has a cylindrical hole in the middle. The inner radius of the cylinder is R1 and the outer radius of the cylinder is R2. The volume charge density, p, is distributed evenly throughout the volume. Find the magnitude of the electric field at distance r from the central axis for the cases when r R2. R
- The electric flux through a spherical Gaussian surface of radius r=20.0cm, with a uniformly charged, spherical conducting shell at its center, is ΦE =−2.30 × 104 N·m2/C. T c. How many excess electrons or protons does this sphere contain? d. f the conductor has a radius of R = 10.0 cm, what is its surface charge density? e. What is the electric field strength at the surface of the conductor?The electric field everywhere on the surface of a thin, spherical shell of radius 0.700 m is of magnitude 855 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? 4.655e(-8 x nC (b) What is the distribution of the charge inside the spherical shell? O The positive charge has a spherically symmetric charge distribution. O The negative charge has a spherically symmetric charge distribution. O The negative charge has an asymmetric charge distribution. O The positive charge has an asymmetric charge distribution.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?