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PHY 1940 University Physics Final Exam: Formula Sheet - Prof. Qi Lu, Study notes of Physics

A formula sheet for the university physics final exam (phy 1940). It includes constants, unit conversions, formulas for various physics concepts such as electric force, electrical potential, capacitance calculation, and resistance calculation. It also covers ohm's law, power expenditure, and kirchhoff's rules. The document also includes formulas for magnetic forces, torque, and magnetic fields.

Typology: Study notes

2009/2010

Uploaded on 05/03/2010

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FORMULA SHEET
PHY 1940 UNIVERSITY PHYSICS FINAL EXAM
Constants
Speed of light in vacuum
8
100.3 c
m/s
Charge of a proton
19
1060.1
e
C
Mass of a proton
27
1067.1
e
m
kg
Free space permittivity
12
0
1085.8
C2/N-m2
Coulomb’s constant
9
0
100.9
4
1

e
k
N-m2/C2
Free space permeability
7
0
104
T/m-A
Prefixes for units and equivalent order of magnitude.
m (mili) ~ 10-3;
(micro) ~ 10-6; n (nano) ~ 10-9; p (pico) ~ 10-12
Unit Conversion
1 cm = 0.01 m
Formulas
Area of a circle
2
rA
Kinetic energy
2
2
1mvK
Newton’s second law F = ma
Electric force in an electric field F = qE
The electric field associated with a point charge
Gauss’s law
0
encl
Q
d
AE
Electrical potential of a point charge
r
q
kV
e
Potential energy of a charge q in an electrical potential V
qVU
Charge storage on a capacitor
CVQ
Capacitance calculation
d
AK
C
0
Equivalent capacitor for series connection
...
111
21
CCC
Equivalent capacitor for parallel connection
...
21
CCC
Ohm’s law
IRV
Resistance calculation
ALR /
pf2

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FORMULA SHEET

PHY 1940 UNIVERSITY PHYSICS FINAL EXAM

Constants

Speed of light in vacuum c  3. 0  108 m/s

Charge of a proton e  1. 60  10 ^19 C

Mass of a proton

 1. 67  10 ^27

m e kg

Free space permittivity

12 0 8.^8510

C^2 /N-m^2

Coulomb’s constant

9 0

k e N-m^2 /C^2

Free space permeability

7 0 4 10

T/m-A

Prefixes for units and equivalent order of magnitude.

m (mili) ~ 10-3;  (micro) ~ 10-6; n (nano) ~ 10-9; p (pico) ~ 10-

Unit Conversion

1 cm = 0.01 m

Formulas

Area of a circle A   r^2

Kinetic energy

2 2

Kmv

Newton’s second law F = m a

Electric force in an electric field F = q E

The electric field associated with a point charge E r

2

r

q

 ke

Gauss’s law

   d  Q^ encl

 E A

Electrical potential of a point charge

r q Vke

Potential energy of a charge q in an electrical potential V U^  qV

Charge storage on a capacitor Q^  CV

Capacitance calculation

d

K A

C^0

Equivalent capacitor for series connection ...

1 2

C C C

Equivalent capacitor for parallel connection C ^ C 1  C 2 ...

Ohm’s law V^  IR

Resistance calculation R^ ^  L / A

The power expenditure I R

R

V

P IV^2

2   

The energy consumption W  Pt

Equivalent resistance for series connection R ^ R 1  R 2 ...

Equivalent resistance for parallel connection ...

1 2

R R R

Kircchoff’s voltage rule (^)  Vi^ ^0 ; Kircchoff’s current rule (^)  Ii ^0

Magnetic force on a moving charge F^  q v^  B , F^  qvB sin^ 

Magnetic force on a current carrying wire F  I L  B , F  ILB sin 

Torque on a current carrying loop τ^  μ^  B , where the magnetic moment μ^  Ni A

Circular motion of a charge in a B field

r v qvB m 2 

Magnetic field at the center of a circular current loop

r

I

B

^ ^0

Magnetic field at a distance r from a current carrying long straight wire

r

I

B

^0

Magnetic field at the center of a solenoid I

L

N

B nI  

Faraday’s law

t

N

   , where the magnetic flux  B  A

Motional emf  BLv

Induced emf in an inductor  L  I / t

Self-inductance

l

N A

L^0

 ; Mutual-inductance

1 0 1 2 1

l

N N A

M

Energy stored in an inductor

2 2

U  LI

Reactance of LRC circuit X^ R ^ R ; X^ L ^ ^ L ;

C

X C

Impedance of LRC circuit Z^  (^ XL  XC^ )^2  X^2 R

Resonance frequency LRC circuit

LC

Phase angle

Z

R

X

X X

R

 arctan L^^ ^ C arccos