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A positive point charge Q is in the center of a conductive spherical shell which is positively charged, of inner radius R1 and outer radius R2. Determine the electric field in all its regions as functions of the radial distance r


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- An infinite sheet charge of has a charge density of +44.81 pC/m2 and covers the entire x-y plane. A second infinite sheet of charge has a charge density of −53.2 pC/m2 covers the entire y-z plane. What is the magnitude of the electric field at any point not on either surface?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 Units
- A conducting hollow sphere of internal radius a and external b has a total charge + 11q, determine the electric field between radius a and b in terms of ɛ0, q and the radius of the Gaussian r.A sphere shell of radius R, centered on the origin, has a uniform surface charge density /sigma and no charge in its interior. What is the magnitude of the electric field outside the sphere, at the distance r from the center, where r > R?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.
- A charge of uniform linear density 2.60 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.00 cm, outer radius = 10.6 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.6 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- (a) (a) Number i Units (b) Number i Units (c) Number i UnitsA hollow sphere of radui R has a uniform nagative surface charge density -\sigma on its surface and a positive point charge +Q at its center. The charge Q is greater than the absolute magnitude of the total charge on the surface. The direction of the E-field is radially outward both inside and outside the sphere. What is the magnitude of the E-field inside the sphere at a distance r<R from the center? What is the magnitude of the E-field outside the sphere at a distance r<R from the center?