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EAM601S - ELECTRICITY AND MAGNETISM - 1 ST OPP - JUNE 2023 |
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nAmlBIA unlVERSITY
OF SCIEnCE Ano TECHnOLOGY
FACULTYOF HEALTH,NATURALRESOURCESAND APPLIEDSCIENCES
SCHOOLOF HEALTHAND APPLIEDSCIENCES
DEPARTMENTOF BIOLOGY,CHEMISTRYAND PHYSICS
QUALIFICATION: BACHELOROF SCIENCE
QUALIFICATION CODE: 07BOSC
LEVEL:6
COURSECODE: EAM601S
COURSENAME: ELECTRICITAYND MAGNETISM
SESSION:JUNE 2023
DURATION: 3 HOURS
PAPER:THEORY
MARKS: 100
EXAMINER (S)
MODERATOR:
FIRSTOPPORTUNITY EXAMINATION PAPER
PROFMUNAWAR KARIM
DRVAINO INDONGO
INSTRUCTIONS
1. Write all your answers in the answer booklet provided.
2. Read the whole question before answering.
3. Begin each question on a new page.
PERMISSIBLEMATERIALS
Scientific Calculator
THIS PAPERCONSISTSOF 3 PAGES
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Electricity and Magnetism Final Examination June 2023
1) In the diagram below there is a collection of charges.+ means +q and - means -q. What
p --a;,. = E. is the flux through the surface of the sphere? Recall flux <PE
{20 points)
- -1-
++
---,..
- .....
f- .,.
+
- -t ..... -t
- - + +
- ;-
+
2) Given a uniformly charged sphere of radius Rand charge Q:
(10 points)
a) Calculate the £-field inside the sphere
(3 points)
b) Calculate the £-field outside the sphere
(3 points)
c) Draw a graph of the E-field both inside and outside the sphere
(2 points)
d) Identify points where the field is maximum and minimum. There is more than one
point where the field is minimum.
(2 points)
3) Two point-charges Q1 and Q2 are separated by a distance r.
(10 points)
a) What is the effect on the force between the charges if Q1 is changed to 2Q1 ?
(4 points)
b) What is the effect on the force between the charges if r is changed to 2r? (4 points)
c) What is the force as r oo?
(2 points)
4) You are required to measure an unknown charge Q.
(20 points)
a) Set up a force balance with two identically charged spheres each carrying a charge Q
and of mass m suspended from two light strings of length l. {5 points)
(2)
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b) Draw a free-body diagram depicting equilibrium between the tension on the string
T,weight mgand the Coulomb force F.Using Newton's Second law write a vector
equation depicting equilibrium.
(5 points)
c) Equate vertical and horizontal components of the three forces.
(5 points)
d) Solve the equations for the force in terms of l, m and g.
(2 points)
e) From the force calculate the unknown charge in terms of l, m and g. Let a=
0.2m,l = l.0m,m = 0.005 kg,k = 9 x 109 ,g = 9.80m/s 2 .
(3 points)
5) Two charges q1 = 2nC and q2 = +0.25nC are located on the x-axis separated by 0.3m.
= A third charge q3 -0.SnC is also placed on the x-axis.
(20 points)
a) Set up the equation for the forces acting on q3 due to q1 and q2 .
(10 points)
= b) Find the locations (two solutions) on the x-axis where the force on q3 0.
(10 points)
6) A solid conductor of radius R carries a current I along its axis.
a) Using Ampere's law calculate the B-field inside the conductor. Show the direction of
the B-field.
(10 points)
b) The B-field outside the conductor. Show the direction of the B-field. (5 POINTS)
c) For values of R = 0.0lm, = I l0A, locate and calculate the maximum B-field. Use
(5 POINTS)
(3)