NZQA registered unit standard
20434 version 2
Page 1 of 5
Title
Demonstrate knowledge of practical mathematics for electronics
technicians
Level
3
Credits
Purpose
8
This unit standard covers the practical mathematics required by
electronics technicians in the laboratory and workplace.
People credited with this unit standard are able to:
 perform arithmetical calculations;
 solve problems by rearranging given formulae;
 solve algebraic equations;
 perform calculations involving decibels;
 perform calculations involving right angled triangles;
 use complex numbers for simple alternating current
applications; and
 identify and sketch graphs of functions commonly found in
electronics.
Classification
Electronic Engineering > Core Electronics
Available grade
Achieved
Explanatory notes
1
This unit standard has been developed for learning and assessment off-job.
2
Definitions
Industry practice – those practices that competent practitioners within the industry
recognise as current industry best practice.
3
The following are typical formulae for use in assessment of Outcome 2.
I E  I S (e
qV / kT
IC 
 1)


V
I D  I DSS 1  GS 
 V

GS off  

V
VC 
1  e t / RC 
Amid
A
2
1   f / fc 
VCC  VBE
RE  RB /(  dc  1)
2
I S min  
VS min   VZ
RS max 
VCEQ  VCC  I C RC  VE
vout
Bn  B 2
1/ n
tan  
XC
R
ElectroTechnology Industry Training Organisation
SSB Code 100401
1
RZ
VR in 
RS  RZ
RC

r' e 2 RE
VR out  
vinCM 
VOUT
R

VIN
R  jX C
 New Zealand Qualifications Authority 2016
NZQA registered unit standard
Q2
2
2 LC 1  Q
fr 
fR 
1
f 
1
Q
2 LC
Z  R  j X L  X C 
Vp
VS

Np

NS
Vr rms 
IS
Ip
Vr  p  p 
2 3
Rt  RO 1   0t 
k
c
d r
log e 

 r 
dBm  10 log 10
  sin 1

P
1mW
A
B
1 L
R C
1
1
1
1



R R1 R2 R3
I dc
4 fC
I dc

4 3 fC
1
v m 2 n 2
fc 
( ) ( )
2 a
b
2
Pm
PSB  C
2
fR 
VNL  VFL
 100%
VFL
1
R2
 2
LC L
1
2
P  3VL I L cos
Vdc  Vm 
Vr rms 
Vr rms
R2  R1
1   0 T2
1   0 T1
V RMS
V PK  PK
2 2
dB  20 Log
V1
V2
XC
R
L
C
2
m
)
2
% Re g 
Vdc  Vm 
Zo 
2 LC
FO
QO 
F2  F1
4
1.44
R A  2 RB .C
  tan 1
v
f
Pt  Pc (1 
fS 
20434 version 2
Page 2 of 5
En  4kTfR
1
fP 
LCCO
2
(C  CO )
QC 
XL
Rac  Rdc
E max  E min
m
E max  E min
Vr  p  p 
2
Vdc

4 3 fCRL
V V
V 
vo   1  2  3 .R f
 R1 R2 R3 
vo 
Zi * E
Zo  Zi
dBV  20 Log

vf 
Pt
4r 2
1
k
% BW 
f 
Q
V1
1V
F2  F1
*100%
FO
1
2RC
X LS
RS
pt
m2
 1
pc
2
Range
a Assessment is to be closed book, with all relevant formulae provided. Use of nonprogrammable calculators is permitted during assessment
b All measurements are to be expressed in Système Internationale (SI) units and
multipliers.
c All activities and evidence presented for all outcomes and evidence requirements
in this unit standard must be in accordance with legislation, policies, procedures,
ethical codes, Standards, applicable site and enterprise practice, and industry
practice; and, where appropriate, manufacturers’ instructions, specifications, and
data sheets.
ElectroTechnology Industry Training Organisation
SSB Code 100401
 New Zealand Qualifications Authority 2016
NZQA registered unit standard
20434 version 2
Page 3 of 5
Outcomes and evidence requirements
Outcome 1
Perform arithmetical calculations used in the electronic engineering industry.
Evidence requirements
1.1
Fractions are converted to decimals and percentages, and vice-versa.
1.2
Calculator is used to solve problems from given data.
Range
1.3
add, subtract, multiply, divide, square, cube, square-root.
Areas and volumes are calculated for simple two and three-dimensional shapes
using given data.
Range
area – square, oblong rectangle, triangle, circle;
volume – box, cylinder.
Outcome 2
Solve electronic engineering problems by rearranging given formulae.
Range
for formulae see explanatory note 3. Assessment of five formulae is required
involving exponential functions including – powers and roots, common and
natural logarithms, trigonometric quantities.
Evidence requirements
2.1
Formulae are rearranged to make one unknown quantity the subject.
2.2
The unknown quantity is calculated, given values for the other quantities.
2.3
Calculations demonstrate use of scientific and engineering notations, including
conversion between multipliers from pico to giga.
Outcome 3
Solve algebraic equations.
Evidence requirements
3.1
Linear equations are solved.
3.2
Quadratic equations are solved by factorisation and use of formula.
3.3
Simultaneous linear equations are solved.
Range
sets of two and three simultaneous equations as applied to
Kirchhoff’s laws.
ElectroTechnology Industry Training Organisation
SSB Code 100401
 New Zealand Qualifications Authority 2016
NZQA registered unit standard
20434 version 2
Page 4 of 5
Outcome 4
Perform calculations involving decibels.
Evidence requirements
4.1
Decibels are calculated from given power and voltage ratios.
4.2
Power and voltage ratios are calculated from given decibels.
Outcome 5
Perform calculations involving right angled triangles.
Evidence requirements
5.1
Right angle triangle problems are solved such as found in vector and phasor
applications.
Range
5.2
Pythagoras theorem, sine, cosine, tangent.
Convert degrees to radians and vice versa.
Outcome 6
Use complex numbers for simple alternating current applications encountered in the
electronics industry.
Evidence requirements
6.1
Vectors are expressed in rectangular (a+jb) and polar form (r, θ).
6.2
Conversions between rectangular and polar forms are made.
6.3
Vector additions and resolutions are made graphically and by calculation.
6.4
Vectors are multiplied and divided using the polar form.
Outcome 7
Identify and sketch graphs of functions commonly found in electronics.
Evidence requirements
7.1
Given sketches of curves are identified.
Range
curves – sine, cosine, tangent, linear, quadratic, logarithmic,
exponential.
ElectroTechnology Industry Training Organisation
SSB Code 100401
 New Zealand Qualifications Authority 2016
NZQA registered unit standard
7.2
20434 version 2
Page 5 of 5
Given formulae, curves are sketched and key points are identified.
Range
sketches indicating general shape and direction, intercepts on x
and y axes, asymptotes, minimum and maximum points.
Planned review date
31 December 2016
Status information and last date for assessment for superseded versions
Process
Version Date
Last Date for Assessment
Registration
1
24 November 2003
31 December 2012
Review
2
21 July 2011
N/A
Consent and Moderation Requirements (CMR) reference
0003
This CMR can be accessed at http://www.nzqa.govt.nz/framework/search/index.do.
Please note
Providers must be granted consent to assess against standards (accredited) by NZQA,
before they can report credits from assessment against unit standards or deliver courses
of study leading to that assessment.
Industry Training Organisations must be granted consent to assess against standards by
NZQA before they can register credits from assessment against unit standards.
Providers and Industry Training Organisations, which have been granted consent and
which are assessing against unit standards must engage with the moderation system that
applies to those standards.
Requirements for consent to assess and an outline of the moderation system that applies
to this standard are outlined in the Consent and Moderation Requirements (CMRs). The
CMR also includes useful information about special requirements for organisations wishing
to develop education and training programmes, such as minimum qualifications for tutors
and assessors, and special resource requirements.
Comments on this unit standard
Please contact the ElectroTechnology Industry Training Organisation
reviewcomments@etito.co.nz if you wish to suggest changes to the content of this unit
standard.
ElectroTechnology Industry Training Organisation
SSB Code 100401
 New Zealand Qualifications Authority 2016