ISA Handbook of Measurement Equations and Tables, 2nd Edition

Chapter 10: Electrical Measurement

Principles of Electrical Measurement

Resistance


where

?

= resistance

V

= voltage

AT

= ampere turns

T

= turns

Ampere Turns


Amperes


where

A = amperes

Direct Current

The Universal (Arytron) Shunt

For 0 to 10 mA, use:


where

R sh1

= 0.111 ohm shunt

R sh2

= 1.11 ohm shunt

R sh3

= 11.1 ohm shunt

R m

= 100

For 10.01 to 100 mA, use:


For 100.01 mA to 1 amp, use:


Determining Required Shunt Resistance


where

R sh

= shunt resistor

I m

= full-scale deflection current

R m

= dc resistance of meter

I sh

= current to be shunted

dc Voltmeters

Determining the Total Resistance Required to Drop Full-scale Voltage at fsd Current


where

R t

= required resistance drop

M r

= desired meter range

I m

= full-scale deflection current

I m

= dc resistance of meter

Meter Sensitivity


where

M s

= meter sensitivity

V

= volts

I m

= full-scale deflection current

Series Voltmeters

Determining the Value of a Multiple Resistor


where

R v

= multiple resistor value

V

= full-scale voltage for desired range

I m

= full-scale deflection current

R m

= meter resistance

dc Bridges

Balance for a Wheatstone Bridge


where

R x

= unknown resistance

R a and R b

= ratio arms

R s

= variable standard resistance

when


Principles of Oscilloscopes

Alternating Current Waveforms

Factors Used for Sinusoidal Wave Shape

Given

Average

r.m.s

Peak

Peak to Peak

Average

1.0

1.11 [**]
2 22 [**]

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