3. Calculate the total charge within each of the indicated volumes: (a) 0.1 ≤ xl, lyl.lz) ≤ 0.2: Pv = ; (b) 0 sp ≤ 0.1, OSOST, 2 sz≤ 4; P = p²z²sin0.60 1 x³y3z3
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- 21show complete solution, as well as the derivation of all equations needed.4) Just as in problem 3 above, a neutral molecule has a dipole moment of 5 Debyes (1.6E-29 Cm) pointing in the x direction. It can be modeled as two charges +e and -e separated from one another by 1E-10 meters (1 angstrom), straddling the origin along the x axis, at x=0. An electron is located on the y axis at y=10 angstroms. What is the force (both magnitude and direction) on the electron by the dipole? ie (o, 10Å) --> X e cx=0.5Å,yr0)4.) Figure Q.2 (b) shows a cylindrical structure with length of 50 m. The inner and the outer surface are separated by free space and located at r = a and r = b respectively. The inner and outer surface of the structure contain a total charge of +1pC and -1pC, respectively. An infinitely long line charge with line charge density of +1pC/m is introduced along the axis of the structure. Given that a = 1 mm and b = 2 mm. +pa C/m? -Рь С/m? Figure Q.2(b) i. Calculate +pa and -pp at radius a and b respectively ii. Find D and E in all regions iii. Sketch graph |D| versus r