UNIVERSITY SCHOOL OF SCIENCES ST- I (Sept. -2015) Subject: Physi cs (Ele ctrici ty anMa!netis") Ti"e all# $e: 1.%0 &r. Subject '#e-P&110Ma. Mar*s: %0 +ranch: +.Sc (,#n Meical) Se"ester: I st General Instructions: i) Th is Que sti on paper is div ided in to 3 parts. ii) All Questions are compulsory . ii i) Ma rk s are in di ca te d ag ai ns t ea ch pa rt . Part-1 (Ve ry short Answers) . ( 1*5 mark = 5 marks ) Q1. a. Deine divergence oa vector ield. b. A spherical surace encloses a dipole. !hat is the electric lu" out oit# c. !hat is lamellar ield# d. !hat is the signiicance onegative sign in the e$uation d! % &$o E. dl e. 'rove that( % *r. Part- II (Short Answers) ( 2*5 mark = 10 marks ) Q2 .!hat is an electric dipole# Derive an e"pression or electric ield due to an electric dipole at any point on its e$uatorial line. Q3. a). 'rove that electric ield + and potential , are related as E = - ∇ V -). I∅=2x 3 yz 2 ( than ind div. grad ∅ ) Part-III (Comprehens!e Answers) ( 1*15 mark = 15 marks) Q" a)DeineGauss Divergence Theorem. 'rove that ∇ ¿ ∭ V❑ ¿ . A ) d, % ∯ s ❑ A . d S -) Derive a relation -et/een potential dierence and line Integral oelectric i eld.
