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GW Instek LCR-8000G Series User Manual

Page 20

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BASIC MEASUREMENT

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39

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Series formula





+

=

2

1

1

Q

L

L

P

S

Q=quality factor

Parallel formula





+

=

2

1

1

Q

L

L

S

P

Q=quality factor

When to use Series (L

S

)

Small inductance:
Reactance (X

L

) < 1kΩ

Note:

fL

X

L

π

2

=

When to use Parallel (L

P

)

Large inductance:
Reactance (X

L

) > 1kΩ

Note:

fL

X

L

π

2

=

Resistance

Series diagram

Parallel diagram

Series formula

(

)

2

1 Q

R

R

P

S

+

=

Q=quality factor

Parallel formula

(

)

2

1 Q

R

R

S

P

+

=

Q=quality factor

When to use Series (R

S

)

Small resistance: < 1kΩ

When to use Parallel (R

P

)

Large resistance: > 1kΩ

LCR-8000G Series User Manual

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Resistance (R) and Conductance (G = 1/R)

Background

Resistance measures how difficult it is for the
electricity to flow between two terminals.
Conductance is the reciprocal of Resistance and
measures how easily the electricity flows.

Resistance

Conductance

Type

Series Resistance R

S

Parallel Resistance R

P

DC Resistance R

dc

Parallel Conductance
G

P

(= 1/R

P

)

Note: Conductance is
available only for
parallel circuit models.

Display Range

0.01mΩ ~ 1GΩ

0.001ns ~ 1ks

Measurement
combination

C

S

+ R

S

L

S

+ R

S

X

S

+ R

S

C

P

+ R

P

L

P

+ R

P

B

P

+ R

P

R

dc

C

P

+ G

P

L

P

+ G

P

B

P

+ G

P

Formula

jX

Z

G

I

V

R

S

=

=

=

1

C

j

Z

L

j

Z

S

S

ϖ

ϖ

+

=

=

(

)

2

2

X

R

Z

S

+

=

(

)

2

2

X

R

RX

Z

P

+

=

θ

cos

Z

R

S

=

jB

Y

R

V

I

G

P

P

=

=

=

1

L

j

Y

C

j

Y

P

P

ϖ

ϖ

+

=

=

(

)

2

2

B

G

GB

Y

S

+

=

(

)

2

2

B

G

Y

P

+

=

θ

cos

Y

G

P

=