ENGR 217 Final
Binary to Hexadecimal Conversion - ANS-First Convert to Decimal. Then divide this
result by sixteen (until you get a result less than 15) and leave the result in the mixed
number format. Then line the whole number and the numerator up in the fraction to their
corresponding Hex value (1-16 to 0-9,A-F). The answer should be in the format 0x29.
Binary to Decimal Conversion - ANS-Where e is the corresponding element in binary
and n is the total number of elements: (Decimal)10 = ex2^n-1 + ex2^n-2 .... + ex2^0
Maximum Output Value - ANS-2^n - 1 where n is the number of bits
Flash Type ADC - ANS-Makes every single comparison at the same time
Successive Approximation - ANS-Inputs a known voltage to the comparator which
compares with an unknown voltage measurement. If true, the known voltage is equal to
the measurement. If false, it increases the voltage and tries again. Requires n-1
separate comparisons.
Advantages/Disadvantages of Flash Type ADC as Compared to Successive
Approximation - ANS-Advantages: very fast
Disadvantages: expensive, takes a lot of hardware/micro-circuits
Johnson-Nyquist Noise Formula - ANS-Vnoise = (4kTRB)^1/2
where K is Boltxmann's constant 1.38*10^-23 J/K
and B is the bandwidth in Hz
Shot Noise Formula - ANS-inoise = (2qIB)^1/2
where q is the charge of a single electron 1.60*10^-19 C
Electric Field - ANS-negative gradient of the electric potential
Resistance and Temperature Relationship - ANS-p(T) = pA[1 + α(T - TA)]
where TA is a reference temp. in degrees Celcius
Magnetic Moment Formula - ANS-m = IA(normal vector)
where I is current and A is the area of a loop
Torque Formula - ANS-T = mxB
, Force Generated by a DC Motor Formula - ANS-F = BxIxL
where B is the magnetic flux density
L is the length of the conductor
Direction is determined by Flemming's Left Hand Rule
When is Flemming's Left Hand Rule used and what vectors are each of your fingers? -
ANS-Used only for Motors
B - pointer finger
I - middle finger
F - thumb
Induced Voltage in a DC Generator Formula - ANS-V = BLv
where L is the length of the wire
and v is the velocity of the wire
EMF Formula - ANS-negative derivative of the magnetic flux
Magnetic Field for a Tightly Wound Coil of Wire Formula - ANS-E = N*(derivative of the
magnetic flux)
where N is the number of identical turns
DC Generator Equation - ANS-E = (Φ x P x N x Z) / (60xA)
where Φ is the flux/pole
Z is the total number of armature conductors
P is the total number of generator poles
A is the total number of parallel paths in armature
N is the rotational speed of armature in rpm
Hall Voltage Equation - ANS-VH = (BI)/(nqt)
where n is the density of charge carriers
q is the electron charge
t is the thickness of the metal along the direction of B
Capacitance Formula - ANS-C = εoA/d
Charge on a Capacitor Formula - ANS-Q=CV
Energy of a Capacitor Formula - ANS-E = 1/2CV^2
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