1 σου. 150 Ω ΑΛΛ www 200 ΩΣ 100 Ω Figure 1 1 601-

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Reclung.c
A on
ri gle
Figure 1
2. The circuit shown above is constructed with two 6.0 V batteries and three resistors with the values shown.
The currents 1₁, 12, and 13 in each branch of the circuit are indicated.
2
GEOMETRY AND TRIGONOMETRY
Circle
A = ²²
C = 2πr
Cy.inder
bh
- re
Rectangular Solid
Vlh
Sphere
1. Using Kirchhoff's rules, write, but DO NOT SOLVE, equations that can be used to solve for the
current in each resistor.
ii. Calculate the current in the 200 9 resistor.
iii. Calculate the power dissipated by the 200 2 resistor.
V = ar²l
S..
Figure 2
The two 6.0 V batteries are replaced with a battery with voltage & and a resistor of resistance 50 2, as shown
above. The voltmeter V shows that the voltage across the 200 £2 resistor is 4.4 V.
(b) Calculate the current through the 50 2 resistor.
(c) Calculate the voltage & of the battery.
V=²
S = 4; 7²
Rig Triangle
2 +6² = c²
sin =
COS==
tan 8 =
OJA
b
C
2m.
a
b
6.0 V
7,4
&
A - area
C=circumference
h-hei
£= le L
W = IUL
r=fuu.0
V-volume
S=sur. ce arca
1. FC
5
arc le t
ung.e
50
150 Ω
www
1₂
200 ΩΣ
ADVANCED PLACEMENT PHYSICS C EQUATIONS
b
150 92
www
100 £2
www
90%
Ta
6.0 V
100 92
a
200 ΩΣ (V) 50 ΩΣ
CALCULUS
df df du
du dx
(*²)=
(e) = ae
(In cx) ==
[sin(x)] = acos(x)
cs(x)] = x
√x²dx=¹¹_n-1
Joth dx = 10
mx-1
dx
√
= In|x + al
[cos(ax)dx = =sin(x)
[sin (ax) dx = cos(x)
VECTOR PRODUCTS
A-B= AB cose
|Ã x B= ABsine
Transcribed Image Text:Reclung.c A on ri gle Figure 1 2. The circuit shown above is constructed with two 6.0 V batteries and three resistors with the values shown. The currents 1₁, 12, and 13 in each branch of the circuit are indicated. 2 GEOMETRY AND TRIGONOMETRY Circle A = ²² C = 2πr Cy.inder bh - re Rectangular Solid Vlh Sphere 1. Using Kirchhoff's rules, write, but DO NOT SOLVE, equations that can be used to solve for the current in each resistor. ii. Calculate the current in the 200 9 resistor. iii. Calculate the power dissipated by the 200 2 resistor. V = ar²l S.. Figure 2 The two 6.0 V batteries are replaced with a battery with voltage & and a resistor of resistance 50 2, as shown above. The voltmeter V shows that the voltage across the 200 £2 resistor is 4.4 V. (b) Calculate the current through the 50 2 resistor. (c) Calculate the voltage & of the battery. V=² S = 4; 7² Rig Triangle 2 +6² = c² sin = COS== tan 8 = OJA b C 2m. a b 6.0 V 7,4 & A - area C=circumference h-hei £= le L W = IUL r=fuu.0 V-volume S=sur. ce arca 1. FC 5 arc le t ung.e 50 150 Ω www 1₂ 200 ΩΣ ADVANCED PLACEMENT PHYSICS C EQUATIONS b 150 92 www 100 £2 www 90% Ta 6.0 V 100 92 a 200 ΩΣ (V) 50 ΩΣ CALCULUS df df du du dx (*²)= (e) = ae (In cx) == [sin(x)] = acos(x) cs(x)] = x √x²dx=¹¹_n-1 Joth dx = 10 mx-1 dx √ = In|x + al [cos(ax)dx = =sin(x) [sin (ax) dx = cos(x) VECTOR PRODUCTS A-B= AB cose |Ã x B= ABsine
v=x0+ axt
x = xo + x² + ₂a
2=²+2a₂ (-0)
F
ΣF F
-
m m
|J = √F 1 = Ap
p = mv
FSHF
AE=W=F-dr
P =
dt
P = F.j
AU = mg h
4 = 2²2 = 6³²7
T
=FxP
à-4-44
1-Sr dm = 2mr¹
Σm.x,
m₂
Xcm-
V=Y@
= F x1 = lo
K=
@=000 + at
6 = 6 + + ½a²²
UNIT
SYMBOLS
₁-2
B
MECHANICS
Factor Prefix
10⁹ giga
10
10³
PREFIXES
mega
kilo
centi
milli
micro
16
1.9
nano
10-12 pico
J
a
E- ene y
= _orce
F=
С
ADVANCED PLACEMENT PHYSICS C EQUATIONS
It
I
1
m
n
P
7
Jm, ulse
--.cy enc
= .ght
- kinetic e e y
k spring constant
l = len ul
acceleration
Langu. ar...mentu....
7h = mass
P =
0::cr
p mo...ent m
Symbol
G
M
k
otatio ali e tia
=
1 = ....e
a
5
.
ampere,
kelvin,
T
Jotential ener ty
OCH
evioa
=
elocity or s, cea
W = work done on a > stem
X
Proton mass, m,
1.67 x 10 27 kg
Net ron... ss, m, = 1.67 x 10 kg
Electron mass, m, = 9.11 10-31 kg
A og du's numbe, N = 5.02 x 1023 mol-1
Universal gas constant, R = 8.31 J/(mol-K)
Boltzmann's constant, kg = 1.38 x 10-23 J/K
1 unified atomic mass unit,
Planck's constant,
e-angle
osition
= coefficient of friction
d.sta ce
R = -KAX
torque
a gulur speed
a guluf acceleration
plase a gle
m
meter,
kilogram, kg
second,
S
A
K
U. - * (4x)²
J = max cos(col + 0)
1-²-3-7
=
T₁ = 2₁
1₂ =2= √//
|Fal - Gimm
Ug =
Gm,m₂
r
||FR|- 1992
Aneo
F₂
mole, mol
hertz, Hz.
newton, N
pascal, Pa
joule, J
oine
cose
tane
$8-dÀ=&
E-di-
dV
X
AV = -√E-dir
E₁ =-
ELECTRICITY AND MAGNETISM
A = area
-
B magnetic field
C = capacitance
distance
E electric field
emf
E
-force
V = 159
Arzo
C-
U₂ -97=
AV = 2
C=EC
G-24
1-d
=
R-PL
=
لم = F
1 = Nev A
ΔΙΑ
R.-ER
ΣΕ
ADVANCED PLACEMENT PHYSICS C TABLE OF INFORMATION
NLANIS AND CONVERN FIORS
Ε-ΣΕ
R
P
P = 1AV
1 9192
Απερ T
Electron charge na gn..ude,
Uc-AV=C(AV)² = He Idex
4
Sd of light,
Universal gravitational
constant,
Acceleratio i due to gravity
at Earth su..ace,
1 = current
J= current density
-
L-inductance
<= length
n = number of loops of wire
per unit length
N
number of charge carriers
per unit volume
PR
watt,
coulomb,
volt,
ohm,
henry,
P = power
Q-charge
Vac ium permittiv t,,
Coulomb's law constant, k = 1/(4n) = 9.0x10° (Nm²)/c²
Vacuum permeability.
Ho = 4 x 10 (T-m)/A
Magnetic constant, k = Ho/(4x) = 1x 10-7 (T-m)/A
1 atmosphere ressure,
R- resistance
r = radius or distance
t-time
W
C
V
Ω
H
= point c' arge
J= potential or stored energy
✓= electric potential
v = velocity or speed
p = resistivity
- flux
x = dielectric constant
Fy=qvxB
b-dl=Hol
.7
0 1/2 3/5 √2/2
1
0
√3/2 4/5
√3/3 3/4
F-S1 dixB
B₂ = onl
•=fBui
8
150x1¹9
e cron ol, 1 V-1.60 x 10 'J
c = ..00 x 10 m/s
G=7 x 10-¹1 (N-m²j/kg²
8 = 9.8 m/s²
=$E-di-
dl
8 = -1
U₁--1-4²
1 u = 1.66 x 10-27 kg = 931 MeV/e²
h = 6.63 x 10-34 J-s = 4.14 x 10-15 eV-s
h: 1.99 x 10-25 J-m = 1.24 x 10³ eV nm
8 = 8.85 x 10-¹2 c²/(N-m²)
1 atm = 1.0 x 10' N/m² = 1.0 x 10³ Pa
farad,
tesla.
degree Celsius,
electron volt,
60°
4/5 √3/2
3/5
√2/2
1 4/3
W
VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES
0. 0°
30°
90°
1
0
1/2
√√
dt
F
T
C
eV
80
The following assumptions are used in this exam.
I. The frame of reference of any problem is inertial unless otherwise
stated.
II. The direction of current is the direction in which positive charges
would drift.
V. Edge effects for the electric field of a parallel plate capacitor are
negligible unless otherwise stated.
III. The electric potential is zero at an infinite distance from an isolated
point charge.
IV. All batteries and meters are ideal unless otherwise stated.
Transcribed Image Text:v=x0+ axt x = xo + x² + ₂a 2=²+2a₂ (-0) F ΣF F - m m |J = √F 1 = Ap p = mv FSHF AE=W=F-dr P = dt P = F.j AU = mg h 4 = 2²2 = 6³²7 T =FxP à-4-44 1-Sr dm = 2mr¹ Σm.x, m₂ Xcm- V=Y@ = F x1 = lo K= @=000 + at 6 = 6 + + ½a²² UNIT SYMBOLS ₁-2 B MECHANICS Factor Prefix 10⁹ giga 10 10³ PREFIXES mega kilo centi milli micro 16 1.9 nano 10-12 pico J a E- ene y = _orce F= С ADVANCED PLACEMENT PHYSICS C EQUATIONS It I 1 m n P 7 Jm, ulse --.cy enc = .ght - kinetic e e y k spring constant l = len ul acceleration Langu. ar...mentu.... 7h = mass P = 0::cr p mo...ent m Symbol G M k otatio ali e tia = 1 = ....e a 5 . ampere, kelvin, T Jotential ener ty OCH evioa = elocity or s, cea W = work done on a > stem X Proton mass, m, 1.67 x 10 27 kg Net ron... ss, m, = 1.67 x 10 kg Electron mass, m, = 9.11 10-31 kg A og du's numbe, N = 5.02 x 1023 mol-1 Universal gas constant, R = 8.31 J/(mol-K) Boltzmann's constant, kg = 1.38 x 10-23 J/K 1 unified atomic mass unit, Planck's constant, e-angle osition = coefficient of friction d.sta ce R = -KAX torque a gulur speed a guluf acceleration plase a gle m meter, kilogram, kg second, S A K U. - * (4x)² J = max cos(col + 0) 1-²-3-7 = T₁ = 2₁ 1₂ =2= √// |Fal - Gimm Ug = Gm,m₂ r ||FR|- 1992 Aneo F₂ mole, mol hertz, Hz. newton, N pascal, Pa joule, J oine cose tane $8-dÀ=& E-di- dV X AV = -√E-dir E₁ =- ELECTRICITY AND MAGNETISM A = area - B magnetic field C = capacitance distance E electric field emf E -force V = 159 Arzo C- U₂ -97= AV = 2 C=EC G-24 1-d = R-PL = لم = F 1 = Nev A ΔΙΑ R.-ER ΣΕ ADVANCED PLACEMENT PHYSICS C TABLE OF INFORMATION NLANIS AND CONVERN FIORS Ε-ΣΕ R P P = 1AV 1 9192 Απερ T Electron charge na gn..ude, Uc-AV=C(AV)² = He Idex 4 Sd of light, Universal gravitational constant, Acceleratio i due to gravity at Earth su..ace, 1 = current J= current density - L-inductance <= length n = number of loops of wire per unit length N number of charge carriers per unit volume PR watt, coulomb, volt, ohm, henry, P = power Q-charge Vac ium permittiv t,, Coulomb's law constant, k = 1/(4n) = 9.0x10° (Nm²)/c² Vacuum permeability. Ho = 4 x 10 (T-m)/A Magnetic constant, k = Ho/(4x) = 1x 10-7 (T-m)/A 1 atmosphere ressure, R- resistance r = radius or distance t-time W C V Ω H = point c' arge J= potential or stored energy ✓= electric potential v = velocity or speed p = resistivity - flux x = dielectric constant Fy=qvxB b-dl=Hol .7 0 1/2 3/5 √2/2 1 0 √3/2 4/5 √3/3 3/4 F-S1 dixB B₂ = onl •=fBui 8 150x1¹9 e cron ol, 1 V-1.60 x 10 'J c = ..00 x 10 m/s G=7 x 10-¹1 (N-m²j/kg² 8 = 9.8 m/s² =$E-di- dl 8 = -1 U₁--1-4² 1 u = 1.66 x 10-27 kg = 931 MeV/e² h = 6.63 x 10-34 J-s = 4.14 x 10-15 eV-s h: 1.99 x 10-25 J-m = 1.24 x 10³ eV nm 8 = 8.85 x 10-¹2 c²/(N-m²) 1 atm = 1.0 x 10' N/m² = 1.0 x 10³ Pa farad, tesla. degree Celsius, electron volt, 60° 4/5 √3/2 3/5 √2/2 1 4/3 W VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES 0. 0° 30° 90° 1 0 1/2 √√ dt F T C eV 80 The following assumptions are used in this exam. I. The frame of reference of any problem is inertial unless otherwise stated. II. The direction of current is the direction in which positive charges would drift. V. Edge effects for the electric field of a parallel plate capacitor are negligible unless otherwise stated. III. The electric potential is zero at an infinite distance from an isolated point charge. IV. All batteries and meters are ideal unless otherwise stated.
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