Cable Math Flashcards
describes the simple algebraic relationship between voltage current and resistance
Ohm’s law
Voltage, also referred to as electromotive force is given this symbol in Ohms Law
E
Current is given this symbol in Ohms Law
I
resistance is given this symbol in Ohms law
R
In this, the position of digits indicates the value associated with those digits
positional number system.
We typically write numbers using this
base 10
The first digit to the left of the decimal place is used for this
whole numbers 0 through 9
The second digit to the left of the decimal place is used for what
multiples of 10
The third digit to the left of the decimal place is used for
multiples of 100
The first digit to the right of the decimal place represents multiples of
tenths
the second digit to the right of the decimal place represents multiples of
100ths
a way to write numbers that are multiples of ten.
Exponential notation
convenient way to write numbers that are very large or very small
Scientific Notation
Scientific Notation formula
“a” times ten to the power “b”
“a” in the scientific notation formula
mantissa
“b” in the scientific notation formula
exponent
the exponent of ten is always a power of three in this type of notation
Engineering notation
Ten to the 3rd power is called
kilo
Ten to the 6th power is called
Mega
Ten to the 9th power is called
Giga
10 to the negative 3rd power is called
Milli
10 to the negative 6th power is called
micro
10 to the negative 9th power is called
Nano
convenient way to express the ratio of two power levels
bel
Formula for ratio in bels
log10 (power level 1/power level 2)
Formula for ratio in decibels (dB)
10 x log10 (power level 1/ power level 2)
Power ratio of 2 to 1 corresponds to what
3dB change
Any doubling of power is represented by
3dB
Any halving of power is represented by
-3dB
Any power changed by a factor of 10 is represented by
10dB
Any power reduced by a factor of 10 is represented by
-10dB
how much smaller is a decibel compared to a bel?
1/10
dBmV
decibel-millivolt
standard unit used in coaxial and HFC networks to measure absolute RF power
decibel-millivolt (dBmV)
RMS
root mean square
a way of expressing the value of a changing or AC voltage.
root mean square (RMS)
In most coaxial and HFC networks the characteristic impedance is
75 ohms
10 times the logarithm base 10 of a power level in watts divided by 0.001 watts
dBm