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E-60
No. 10 Voltage Gain
Determines the voltage gain (
G
) of an amplifi er circuit when input voltage (
E
) and output
voltage (
E´
) are known.
G[dB] = 20 log10
(E
'
/
E >0)
E
'
E
()
[dB]G[dB] = 20 log10
(E
'
/
E >0)
E
'
E
()
[dB]
Units:
E
and
E Ϣ
: V,
G
:
d
B
No. 11 Impedance in an LRC Series Circuit
Determines the impedance (
Z
) of an LRC series circuit of frequency
f
, when resistance (
R
),
coil inductance (
L
), and capacitance (
C
) are known.
Z
= R
2
+ 2π f L−
1
2π f C
1
ω
C
()()
= R
2
+ ωL−
()
2
(R, f, L, C>0)
Z
= R
2
+ 2π f L−
1
2π f C
1
ω
C
()()
= R
2
+ ωL−
()
2
(R, f, L, C>0)
Units:
f
: Hz,
L
: H,
C
: F,
R
and
Z
:
Ω
No. 12 Impedance in an LRC Parallel Circuit
Determines the impedance (
Z
) of an LRC parallel circuit of frequency
f
, when resistance (
R
),
coil inductance (
L
), and capacitance (
C
) are known.
Units:
f
: Hz,
C
: F,
L
: H,
R
and
Z
:
Ω
No. 13 Frequency of Electric Oscillation
Determines the harmonic oscillation frequency (
f
1
) of a series resonance circuit when the
coil self-inductance (
L
) and capacitance (
C
) are known.
+ 2π f C−
1
2π f L
1
(())
22
Z
=
1
R
(R, f, L, C>0)
+ 2π f C−
1
2π f L
1
(())
22
Z
=
1
R
(R, f, L, C>0)
f1 =
(L, C>0)
2π LC
1
f1 =
(L, C>0)
2π LC
1
Units:
L
: H,
C
: F,
f
1
: Hz
No. 14 Distance of Drop
Determines the distance of drop (
S
) after
t
seconds of an object dropped straight down
(gravitational direction) at an initial velocity of
v
1
(air friction disregarded).
S = v1t + gt
2
2
1
(g: gravitational acceleration, t > 0)
S = v1t + gt
2
2
1
(g: gravitational acceleration, t > 0)
Units:
v
1
: m/s,
t
: seconds,
S
: m