Description
EXAM 2 CHEAT SHEET
Ch 19  Electric Potential
Ch 22  Electromagnetic Induction
Conservative forces review: APE = W.. PE = mgh P E.ring = kx Fee is conservative (it has a PE)
+ We can use Econservation! (E = E) F = k (laQ!)
PEcou = k (9Q/) in J if >2 point charges: PE = PE2 + PE = PES
= K (9.9/12) + k (9:44 r.) + k (9.91 r.) We also discuss several other topics like Why productivity is so important?
Current (wo a battery): Le
B). A orientation of A w.r.t vector field
Orientation: max plane blocks 8.0° if plane slices B By construction, B = 3 + B, e: angle bw normal to sfc and B Don't forget about the age old question of Define nucleophile.
B = B cose Definition: 0= B A OR 0 = BA cose
Electric potential (V): describes an electric field (E)
Recall: F = GE [V] = J/C or Volts Av = APE /
dir of E: high V low V APE, = 9EArcos(e) FriE + 1 = oonstant
TE=  AV/[ Arcos(e)] for point charge: Vo =kQir If AV = 0 (V = constant) + E = 0 Don't forget about the age old question of How does hubble’s law relate to the distance and recession velocity of galaxies?
Faraday's Law Em =  40. / At We also discuss several other topics like How do parties choose people in down's theory of party?
E is like a AV due to a battery Typically we ignore minus sign Lenz's Law: I must oppose its cause
Capacitance (Fa / Fa) C = QI AV Parallel Plate Capacitors: C = AE,/d E, = 8.85x10 CINm To increase capacitance, put dielectric b/w plates
IE, I = 1 E, / C = kc. E = ¥!(Q®/C) We also discuss several other topics like What is the function of cytotoxic tcells?
Lenz's Law State the change (Ac.) as precisely as possible Negate above statement to find B. (
B vs B.) Find dir of B. RHR2 for dir of Ind
Ch 21  Magnetic Forces & Fields
Ch 20  Electric Current
Moving charges electric current AQ/At= (1 = A(Amp) AV: sometimes denoted as Vor (electromotive force)  a battery
currents are made up of positive, moving charges
AV  IR Ris coefficient of proportionality [R] = (Ohm) Don't forget about the age old question of What is a mass fatality incident?
=CR goes from high V to low Y 1.7.  AEPE I Ag P = JAV PER PER For mylindrical conductors for any sufficiently m etric shapel RapLIA p = resistivity of material L = length = crosssectional arca wri battery
Connection of Multiple Resistor R, R, in series: R =R+R R R, in parallel 1/R = 1/R + 1/R
For more complex circuits multinle murers Kirchhoff's rules:
Junction rule = Loop rulo  SAV = 0
Charging / discharging capacitors "Around loop
 Charging: 0/0  Cy[1.c )
FORCES Electric force: blw 2 charges ... Magnetic force: b/w 2 ourronts Cross Product AxB is a vector Definition: Ax AB sin Direction of Ax given by RHR1
Sweep right hand from A to B (to make a fist) & sce where thumb points (toward board in this)
BXAthumb points away from board (toward you)
So, AxD.
BA Notation: *. into board / page out of board / page Magnetic Force Law FqV x B = F. I = I VIB sin(0) Mass Spectrometer UCM F = Ft qVB = Vir r=m /qB T = 2T (m/qB) Force on a straight current carrying wire for ist straight current) in a B
F.I  qvBsin = q L / tsino F.I  BIL in Direction: RHR11 Cunt non EF = F, + F + F +F, = 0 ET = NBIA (for Ntums)
Always true! FIELDS Bu nastriot currert carrying wire
Amperc's Law BIP) = 1/2 H. = 411 10.1 TM'A [2] = T (Tesla) Use RHR2 to determine direction
L 11 Koop fingers curled, point right thumb in
dir. of current, see where curved 4 fingers point Faren bhw 2 straigh: parallel cu Tents (2 images , IF I = BI Lsine
 Find B due to at a point on wire 2
B v.4/2md
• Use from above to find F
IF I = (1/2 td), L Direction of F.: RHR1
Swoop qvinta Band B is painting into the board
Direction: towards I. (attractive)  Bai center?
BalN .1/2R
AC)
For multiple barched circuits:
Label all the currents Get one (or morc) equation(s) using
junction rule Get remaining equations using loop rule
We can choose any loop
We can go around it either CW or CCW If dir. of currents is not obvious, ok to guess If at the end a curren: comes out negative,
simply reverse the initial guess
Q(i=0) = 0 l(t) = 1, HCl(t) = (V/R] (
VIR max Discharging: @[0) = Cretik)
QI=0) = Q = CY
Close switch at t = 0 l(t) = (V/ R) (CR)
É
!
Caracters in Series & Paralel Series: 1/0  1/C. + 170, Paralle: C C. + C
SENSO
3
EXAM 2 CHEAT SHEET
Ch 20  Electric Current Useful Figures
1. All carry same current (series connection)
3. R. R in series
O AV..  IR, IR
WWW
OR=R, #R
2. All subject to same AV (parallel connection)
4. R
R in parallel
• 1/R =1/R + 1/R,
wit wat
SERIES
Find Rebih dan
3
PARALLEL
parallel
Rear = Rof Real v
Ch 21  Magnetic Forces & Fields Useful Figures
by die
R11:
1
1 590. 11 .1
OV
9V
Find sign of moving charges, given trajectories and B
. Assume 9, Oir is incorrect, just pick the opposite) . F = V x B . 4, Ogives wrong Fu
la uniform
EXAM 2 CHEAT SHEET
Ch 22  Electromagnetic Induction Useful Figures
example:
Fairforca
s Soup
Exam DIE
dy Sou
Ds of O Beat
through A decreases
Idir of
India
Find
Bind is not
Find
 Faraday's Lom
Soup
de
a
pp. of C
By Ohms Lävi! I lod: Ei
Find India
Foradays LAD
/ At
(BLAC
dir of Ind
6. By Faraday's Low: 1€ =
H is wi#) —
All Be A 205D)
DA
Lorenz LAW Lind  *+es+ W RHR2

Betlan
Rat
WAX
TI WE...
Butke by
Bertv
example:
Dir of Ind is CCW
dir
of
Iind?
study Soup
DR
of
Beas
through
loop
increasero