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[
d
B]
= 20
log
10
(
E' / E
>
0)
E'
E
( )
[
d
B]
G[
d
B]
= 20
log
10
(
E' / E
>
0)
E'
E
( )
[
d
B]
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
+
2
π
f
L
−
1
2
π
f
C
1
ω
C
(
)
(
)
=
R
2
+
ω
L
−
(
)
2
(
R
,
f
,
L
,
C
>
0)
Z
=
R
2
+
2
π
f
L
−
1
2
π
f
C
1
ω
C
(
)
(
)
=
R
2
+
ω
L
−
(
)
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.
+
2
π
f
C
−
1
2
π
f
L
1
(
(
)
)
2
2
Z
=
1
R
(
R
,
f
,
L
,
C
>
0)
+
2
π
f
C
−
1
2
π
f
L
1
(
(
)
)
2
2
Z
=
1
R
(
R
,
f
,
L
,
C
>
0)
f
1
=
(
L
,
C
>
0)
2
π
LC
1
f
1
=
(
L
,
C
>
0)
2
π
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
=
v
1
t
+
gt
2
2
1
(
g
: gravitational acceleration,
t
>
0
)
S
=
v
1
t
+
gt
2
2
1
(
g
: gravitational acceleration,
t
>
0
)
Units:
v
1
: m/s,
t
: seconds,
S
: m
