Tutorial 2 PDF

Tutorial #2 Problem 1 The conductor in the preceding figure has an excess charge of -5 mC. If a 2 mC point charge is placed in the cavity, what is the net charge on the surface of the cavity and on the outer surface of the conductor? Problem 2 The electric flux through a cubical box 8.0 cm on a sid...

Tutorial #2 Problem 1 The conductor in the preceding figure has an excess charge of -5 mC. If a 2 mC point charge is placed in the cavity, what is the net charge on the surface of the cavity and on the outer surface of the conductor? Problem 2 The electric flux through a cubical box 8.0 cm on a side is 1.2e3 N·m2/C. What is the total charge enclosed by the box? Problem 3 The volume charge density of a spherical charge distribution is given by r(r) = r0 exp(-ar), where r0 and a are constants. What is the electric field produced by this charge distribution? Problem 4 A hollow, conducting sphere with an outer radius of 0.248 m and an inner radius of 0.208 m has a uniform surface charge density of +6.44e-6 C/m2. A charge of - 0.560 mC is now introduced at the center of the cavity inside the sphere. (a) What is the new charge density on the outside of the sphere? (b) Calculate the strength of the electric field just outside the sphere. (c) What is the electric flux through a spherical surface just inside the inner surface of the sphere? Problem 5 A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the electric field E (magnitude and direction) in terms of q and the distance r from the common center of the two shells for (i) r < a; (ii) a < r < b; (iii) b < r < c; (iv) c < r < d; (v) r > d. Graph the radial component of E as a function of r. (b) What is the total charge on the (i) inner surface of the small shell; (ii) outer surface of the small shell; (iii) inner surface of the large shell; (iv) outer surface of the large shell? Problem 6 A long coaxial cable carries a uniform volume charge density r on the inner cylinder (radius a), and a uniform surface charge density on the outer cylindrical shell (radius b>a). This surface charge is negative and is of just the right magnitude that the cable as a whole is electrically neutral. Find the electric field in each of the three regiond: (i) inside the inner cylinder (s