PHYS UN1402 Lecture Notes - Lecture 9: Electric Potential Energy, Spherical Cap, Energy Density

• School: Columbia University
• Department: Physics
• Course: PHYS UN1402
• Professor: Georgia Karagiorgi

Document Summary

Isolated conducting sphere of k charged with q. In our case , a = r , b as. 417 to a capacitance of a spherical conductor of radius a. C for sphere is c = 4m eo r. = offer u = -4 (cid:8869) Energy density : consider all plate capacitor , to show u "t to e " = i to a dez tz ( e . Thus , holds in general for any e. Increases c when inserted between capacitor plates v c: s . r c. C t after dialectic is inserted (cid:15482) capacitor can hold more charge. Cdieleutric = k = dielectric constant s t. C- of ( geometry ) dielectric - c - Non - polar : non permanent e- e. p. Dipoles will align with text (cid:15482) leads to to eext. E" dipole aligned but opposite ( capacitor ) (cid:15482) dielectric " weakens " e" field within a capacitor.