Question

Supplemental Problem #1: A cylindrical wedge with dielectric constant 4 is located in free space and defined by ре 1,2 m, фе zel-1,1m. The electric flux density at p =1.5m , п z = Om is given by $ = D(p,ф,2)- D|1.5, ,0 = 2.5p-1.50 +3.02 C/m² A surface charge density of 0.5C/m² exists at the p=1.5m, ø = 2 Om coordinate. Find the electric flux density at p=1.5m, Om

Answer 1

Crivenn that- at d= r ErD=4 to at Ŝ-1.5@+32 cim? at (1-5m, A12 ,0) at d=x)2t 88= 0.5 cim2 boundry conditim- (02-D1).am = 8s Et2= Eti amd herre 82 blane, because Q =x|2tand Aiã is houndry s+32 C/m² D4= 2-58+3ê cim2 Dnp=-1-sô cim2

Erz=4 amedium mediuncn 7felectric foi'eld wave ls g0ln0g frmo nmediuncm D b mdium (ロm2-0mi).an= 8S (omzê-G1sâ))- â = o-5 %3D them. orl Dnz3 D=Ew ErE annd we kmow tHhat Dとこ 2 2-53+32 Dtz = Otz= 108otlez

D2=0€2+oñ De= 108+12- @+122 elmn2 108-0+1