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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 (
) 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
= R2+ 2πfL1
2πfC
1
ωC
()()
=R2+ ωL
()
2
(R,f,L,C>0)
Z
= R2+ 2πfL1
2πfC
1
ωC
()()
=R2+ ωL
()
2
(R,f,L,C>0) Units: f : Hz, L : H, C : F, R and Z :
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 :
No. 13 Frequency of Electric Oscillation
Determines the harmonic oscillation frequency (
f1) of a series resonance circuit when the
coil self-inductance (
L) and capacitance (
C) are known.
+ 2πfC1
2πfL
1
(())
22
Z
=
1
R
(R,f,L,C>0)
+ 2πfC1
2πfL
1
(())
22
Z
=
1
R
(R,f,L,C>0)
f1 = (L,C>0)
2π LC
1
f1 = (L,C>0)
2π LC
1Units: 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
v1 (air friction disregarded).
S = v1t+ gt2
2
1(g: gravitational acceleration, t> 0)
S = v1t+ gt2
2
1(g: gravitational acceleration, t> 0)
Units: v 1: m/s, t : seconds, S : m
61


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