Mathematical Toolbox
1. Solution of quadratic equations
For an equation: ax 2 + bx + c = 0
There are two solutions given by: x =
b b 2 4ac
2a
2. Geometry
+ + = 1800
1. The internal angles of a triangle add up to 1800.
2. The external angle equals the sum
Physics Toolbox
Linear kinematics
Under constant acceleration a [m/s2]:
v = v0 + at
x x0 = v0 t +
2
v 2 = v 0 + 2a ( x x 0 )
x x0 =
12
at
2
v0 + v
t = v avge t
2
where o [m/s] is the initial velocity at the start of time period t[s], v is the velocity at
Carleton University Physics Department
-14-
PHYS 1004
Winter 2010
Reference material for exam and tutorial tests
NA = 6.022 1023 mol1
G = 6.674 1011 N m2 kg 2
g = 9.81 m s2
me = 9.109 1031 kg
mp = 1.673 1027 kg
e = 1.602 1019 C
K = 1/(4 0 ) = 8.988 109 N
Winter 2012
Version 3.1
PHYS 1004
Introductory Electromagnetism and Wave Motion
Winter 2012
Course Outline
This course is designed to provide an introduction to electricity, magnetism, circuits,
electromagnetic induction, and wave motion from a physics pe