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Casio fx-50F PLUS User Manual

Page 61

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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

log

10

(

E' / E

>

0)

E'
E

( )

[dB]

G[dB]

= 20

log

10

(

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

+ 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

:

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 (

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