No. 10 Voltage Gain

Determines the voltage gain (G) of an amplifier circuit when input voltage (E) and output voltage (E´) are known.

G[dB] = 20 log10 (

E'

) [dB]

E

 

(E'

/

E > 0) Units: E and EϢ: V, G: dB
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+ (2 π f L− 1 )2 (= R2+ (ωL− 1 ) )2 π f CωC
(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.

Z =

 

 

 

1

 

 

 

 

 

 

 

 

 

 

1 2

 

1 2

(R, f, L, C> 0)

 

(

R

) + (2

π f C−2 π f L

)

 

Units: f : Hz, C: F, L: H, R and Z: ΩNo. 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.

f1 =

 

 

1

(L, C> 0)

 

 

 

Units: L: H, C: F, f1: Hz

 

π

LC

2

 

 

 

 

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 +

1

gt2 (g: gravitational acceleration, t > 0)

2

 

 

 

 

 

 

Units: v1: m/s, t: seconds, S: m

E-60