The Sphere between r = 3 mm and r = 5 mm is filled with volume charge density of 50 nC/m³. A point charge of -3 nC is inserted in the middle of the sphere. Using Gauss law find the electric flux density everywhere.
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- A 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 UnitsSpace vehicles traveling through Earth's radiation belts can intercept a significant number of electrons. The resulting charge buildup can damage electronic components and disrupt operations. Suppose a spherical metallic satellite 1.8 m in diameter accumulates 2.2 µC of charge in one orbital revolution. (a) Find the resulting surface charge density. (b) Calculate the magnitude of the electric field just outside the surface of the satellite, due to the surface charge. (a) Number Units (b) Number Units
- A charge Q = -10 nC sits at the center of a thick uncharged conducting spherical shell with inner radius R1 = 3.0 m and outer radius R2 = 4.0 m. Find the magnitude and direction of the electric field at a distance of (a) 2.0 m, (b) 3.5 m, and (c) 4.5 m away from the charge. R. R, 1.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 13.8A 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?
- A point charge of -3.00 micro Coulomb is located in the center of a spherical cavity of radius 6.50 cm that, in turn, is at the center of an insulating charged solid sphere. The charge density in the solid is 7.35 x 10-4 C/m3. Calculate the electric field (in N/C) inside the solid at a distance of 9.50 cm from the center of the cavity. (Don't express your answers in scientific notation)A charge of uniform linear density 2.40 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.60 cm, outer radius = 9.20 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.8 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Gaussian cylinder Shell Rod- (a)A long silver rod has a radius of 3 cm and a charge density of -13μC/cm on its surface. a) The electric field may be expressed as E=Err^where r^ is perpendicular to and points away from the symmetry axis. What is ErEr, in newtons per coulomb, at a point 5.5 cm from the symmetry axis of the rod? b) The electric field may be expressed as E=Err^where r^ is perpendicular to and points away from the symmetry axis. What is ErEr, in newtons per coulomb, at a point 0.75 cm from the symmetry axis of the rod?