A solid insulating sphere of radius a carries a net positive charge 3Q, uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b and outer radius c and it has a net charge of - Q. a) Construct a spherical Gaussian surface of radius r>c and find the net charge enclosed by this surface. b) What is the magnitude and direction of the electric field at r> c? c) Construct a spherical Gaussian surface of radius r, where b

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 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 long silver rod of radius 5 cm has a charge of -4 µC/cm on its surface. (a) Find the electric field (in N/C in the f direction) at a point 15 cm from the center of the rod (an outside point). X N/C î

A spherical conductor of radius a = 1.5 cm with a charge Q = -20 nC. At the center of the conductor sphere is a hollow insulator sphere whose inner radius is b= 2 cm and outer radius is c = 3 cm (see picture). This insulating ball is given a charge of q = + 30 nC. Using Gauss's law, determine the location of the points where the electric field is zero!

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A 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?