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UNIVERSITY OF CAGAYAN VALLEY
College of Engineering Balzain, Tuguegarao City 3500
Name of Student: ________________________ Year/Section: _____________ Subject: VECTO ANALYSIS AND ELECTROMAGNETICS Teacher: Engr. JOEY A. CANAPI
MODULE No. 01 FOR MID-TERM COVERAGE
TITLE: COULOMB’S LAW INTRODUCTION While some properties of electricity and magnetism have been observed for many centuries, the eighteenth and nineteenth centuries really mark the beginning of the formalization of several important laws which appear to underlay these properties. It must be remembered that much of what we will encounter by the way of mathematical formalization in this course is really just a means of expressing what is considered to be known fact based on experimentation. Names, such as Coulomb, Gauss, Maxwell and others with which you are already familiar from elementary physics courses, will have particularly important significance in this and/or subsequent units. LEARNING OUTCOMES
- Engage in life-long learning and an understanding to the needs to keep currents of the developments in the specific field of practice.
- Apply knowledge of mathematics, physical, life and information sciences; and Technical discipline appropriate to the field of discipline
LEARNING
OBJECTIVES
After completing this course, the student must be able to: 1.Understand the concept of Electric and magnetic field;
- Value the importance of learning the various methods used in electromagnetic;
Coulomb’s Law In the 1785, Charles Coulomb established that the fundamental law of electric force between two particles having charges of Q1 and Q1 possessed the following properties:
- The magnitude of the force is proportional to the product of the magnitudes of the charges (i.e. F ∝ Q1Q2);
- The magnitude of the force is inversely proportional to the the square of the distance R between the charges (i.e. F ∝ 1/R2);
- The direction of the force is along a line joining the charges – this is because point charges can exert forces only radially;
- The force is attractive if the charges are opposite in sign and repulsive if the charges have the same sign. Putting all of this together we have F ∝
which implies that, using k as the proportionality constant and using SI units for which force is measured in newtons (N), charge in coulombs (C) and distance in metres (m), the magnitude of F
is F = k where k = ;
F = = magnitude scalar
F = = magnitude scalar with unit vector
Where F = force exerted from a chrge
k =
= 1 ( for free space ) R= distance between two charge = unit vector in the direction R
UNIVERSITY OF CAGAYAN VALLEY
College of Engineering Balzain, Tuguegarao City 3500
Name of Student: ________________________ Year/Section: _____________ Subject: VECTO ANALYSIS AND ELECTROMAGNETICS Teacher: Engr. JOEY A. CANAPI
MODULE No. 02 FOR FINAL TERM COVERAGE
TITLE: ELECTRIC FIELD INTENSITY INTRODUCTION While some properties of electricity and magnetism have been observed for many centuries, the eighteenth and nineteenth centuries really mark the beginning of the formalization of several important laws which appear to underlay these properties. It must be remembered that much of what we will encounter by the way of mathematical formalization in this course is really just a means of expressing what is considered to be known fact based on experimentation. Names, such as Coulomb, Gauss, Maxwell and others with which you are already familiar from elementary physics courses, will have particularly important significance in this and/or subsequent units. LEARNING OUTCOMES
- Engage in life-long learning and an understanding to the needs to keep currents of the developments in the specific field of practice.
- Apply knowledge of mathematics, physical, life and information sciences; and Technical discipline appropriate to the field of discipline
LEARNING
OBJECTIVES
After completing this course, the student must be able to: 1.Understand the concept of Electric and magnetic field;
- Value the importance of learning the various methods used in electromagnetic;
Electric Field Intensity Due to Point Sources
By definition, the electric field intensity, E , at a point in space due to a source is the force per unit charge experienced by a positive test charge, Qt, brought to that point.
E =
E =
E =
E=
Example
A charge of -0.3 is located at A( 25,-30,15)cm and a second charge of 0.5 is at B(- 10,8,12)cm. Find E a) at the origin b) P(15,20,50)cm
= - 25ax + 30ay – 15az cm = √ = 41.83cm
= 10ax – 8ay – 12az cm = √ = 17.55 cm
E =
