Question

3. Select the correct sketch of the direction of dipole moment of pair of charges a) e b) 19 c) d) Consider two concentric conducting spherical shells. In the figure, the inner shell has an inner radius of a and an outer radius of b, and the outer shell has an inner radius of c and an outer radius of d. Inner shell carries an excess charge of-1q and outer shell carries 4. (4.1) The charge on the inner surface of small shell is Q1, on the outer surface of small shell is 02, and on the inner surface of larger shell is Q3, on the outer surface of larger shell is Q4. Which choice best represents the charge distribution in electrostatic equilibrium? (4.2) Find E(r), electric field, for the radius b <r c by constructing spherical Gaussian surface of the region: (4.3) Find E() for r > d by constructing spherical Gaussian surface of the region:

Answer 1

(c) Direction of P rightarrow is from negative to positive charge (a) rightarrow theta_1 = 0, theta_2 = -1q and theta_3 = + 1q theta_4 = + 1q is the charge distr (b) rightarrow for b < r < c So, By Gauss law 4 pi r^2 times E = (-1q)/epsilon_0 rightdoublearrow E = -1q /4 pi epsilon_0 r^2 r (c) rightarrow for r > d net charge enclosed = -1q + 2q = 1q rightdoublearrow E times 4 pi r^2 = + 1q/epsilon_0 rightdoublearrow E rightarrow = + 1q/4 pi epsilon_0 r^2 r