Kingdom of Saudi Arabia Ministry of Higher Education Majmaah University Vice rectorate for Academic Affairs Measurement & Assessments Administration The MidTerm Exam of the Second Semester 1435 / 1436 H College of Science in Zulfi Program: B. Sc Course Name: Electromagnetism 2 Course Code: 322 Level: L5, 6 Date: 21/05/1436 Duration: 1 hour The student's name: ……………………………………………. University ID:……………………………………………………. Number of pages: 3 Examination Guidelines 1- Type your name and university identification number clearly in the space provided. 2- Use blue or black pen in answer and pencil in drawing. 3- Books or notes, papers and publications are not allowed into the examination room. 4- Students are not allowed to get out from the examination room before passing 30 minutes from the beginning of test starting. Learning Outcomes Communication, Interpersonal skills The Knowledge information Psychomotor Cognitive skills and taking Skills technology and skills responsibility numerical skills a b c d e Grades Learning Faculty member Corrector 1 Corrector 2 Question outcome ……………………………. 1 /……………. /……………. ……………….. Review Committee /……………. /……………. ……………….. 2 Name /……………. /……………. ……………….. 3 /……………. /……………. ……………….. 4 /……………. /……………. ……………….. 5 Signature Final grade...…../…....... /……………. /……………. 2 Kingdom of Saudi Arabia Ministry of Higher Education Majmaah University Vice rectorate for Academic Affairs Measurement & Assessments Administration Exercise 1 (6 Marks) Circle the correct answers: 1) The relation between the electric field and the electric force is given by: F F a) q b) E c) F q E q E 2) The microscopic Ohm's law is given by: a) E j j c) E b) j E 3) The electric force between two charges Q1 and Q2 is equal to: r2 a) F K q1 q 2 b) F K q1 q2 r2 4) The Lorentz force is equal to: a) F q v B b) F q E v B c) F K q1 q2 r2 c) F q E Exercise 2 (7 Marks) Gauss's law Consider a solid sphere of radius R with a uniform charge . 1) Write the Gauss's law ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… 2) Using Gauss's law Show that the magnitude of the electric field in a point M is equal to: 2 r R3 a- E outside the sphere. ( Q d d sin d r 2 dr ) enc 2 3 0r 0 0 r 0 3 Kingdom of Saudi Arabia Ministry of Higher Education Majmaah University Vice rectorate for Academic Affairs Measurement & Assessments Administration …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… r inside the sphere. 3 0 …………………………………………………………………………………… b- E …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… 3) Draw the graph which represents the variation of the electric field E as function of the distance r …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… Exercise 2 (7 Marks) Ampere's law Consider an infinite cylinder of radius R with a uniform current distribution j v (in volume). 4 Kingdom of Saudi Arabia Ministry of Higher Education Majmaah University Vice rectorate for Academic Affairs Measurement & Assessments Administration 1) Using Ampere's, law Show that the magnitude of the magnetic field in a point M is equal to: a- B (r) 0 I outside the cylinder, where I is the total current ( I j ds ) 2 r …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… ………………………………………………………………………………… …………………………………………………………………………………… 0 I r inside the cylinder. 2 R2 …………………………………………………………………………………… b- B (r) …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… 2) Draw the graph which represents the variation of the magnetic field B as function of the distance r …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… 5