1_4 - PHY 5346 HW Set 1 Solutions Kimel 3. 1.4 Gauss's Law:...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: PHY 5346 HW Set 1 Solutions Kimel 3. 1.4 Gauss's Law: E da Q enclosed 0 Q a) Conducting sphere: all of the charge is on the surface 4a 2 Q E4r 2 0, r a E4r 2 0 , r a E 0, r a E Q r, r a 4 0 r 2 b) Uniform charge density: E4r 2 E4r 2 4 3 Q a 3 , r a, 0, r a. Qr , ra 4 0 a 3 Q E , ra 4 0 r 2 E Qr 3 3 0a Q 0 c) A r n Q 4 r 2 drAr n 4Aa n3 / n 3 0, r a E4r 2 n3 Q Q 4r n3 / n 3 E n3 4 0 r 2 4 0 a Q E , ra 4 0 r 2 E Q , 4 0 ra ra r n3 a n3 , ra n3 Q n r ,ra 4a n3 1. n 2. E Q , ra 4 0 r 2 2. n 2. Qr 3 , 4 0 a 5 Q E , 4 0 r 2 E ra ra ...
View Full Document

Ask a homework question - tutors are online