Sinusodial Waveforms

Question 1

Period definition, unit and symbol

Answer 1

Time taken to complete one cycle

Symbol T

Unit s

Question 2

Frequency definition, unit, symbol and formula

Answer 2

The number of cycles generated per second

Symbol f

f = 1/ T

Unit Hz

Question 3

Cycle definition

Answer 3

When the wave from goes from a point to the next identical point
Aka one complete oscillation

Question 4

What is the peak to peak value

Answer 4

The amplitude of the entire waveform (crest to trough)

Question 5

Peak value

Answer 5

The maximum value amplitude measure ld from the second voltage level

1/2 of peak to peak

Question 7

What is the effective RMS value

Answer 7

The d.c. current or voltage that would dissipate the ame amount of power as ac to the resistive load

Question 8

What does RMS stand for

Answer 8

Root mean square

Question 9

Rms formula

Answer 9

For current I / root 2

For voltage V/ root 2

Question 10

What is the general format for the sinusodial wave

Answer 10

For voltage
e = E ₘₐₓsinθ

For current
i = I ₘₐₓsinθ

Question 11

Example what each symbol stands for in the general format of a sinusodial wave

Answer 11

For voltage
e stands for instantaneous voltage
E stands for max voltage
sin is a function
θ angle

For current
i stands for instantaneous current
I stands for max current
sin is a function
θ angle

Question 12

1 Radian in degrees

Answer 12

57.3º

Question 13

Max value of sin wave is

Answer 13

1

Question 14

All sinusodial wavefrom can be represented by an

Answer 14

Anticlockwise rotating vector moving at an angular velocity of omega radians per second

Question 15

The equations for ω

Answer 15

ω=2π/ T

Since T = 1/f

ω=2πf

Question 16

What formula is used to determine the instantaneous voltage or current of a wave at a specific time

Answer 16

e = Eₘₐₓsinωt

i= Iₘₐₓsinωt

Question 17

What does ωt represent and why

Answer 17

Angle in radians

ωt = rads/sec by sec
Which reduces to rads

Question 18

Define phase shift

Answer 18

A wave form is leading or lagging

Question 19

What does leading mean

Answer 19

Beginning before t₀

Question 20

What does lagging mean

Answer 20

Beginning after t₀

Question 21

Formulae for instantaneous values for waveforms phase shifted from zero

Answer 21

For voltage
Eₘₐₓsin(2πft plus or minus Φ)

For current
Iₘₐₓsin(2πft plus or minus Φ)

+ Φ means it’s leading
- Φ means it’s lagging

Question 22

A sine wave voltage will produce what type of wave for the current wave through a resistor? And will this wave be leading or lagging the voltage wave

Answer 22

A sine wave
It will be in phase

Question 23

Define phase angle

Answer 23

Time difference between two periodic wave forms

Question 24

If e2 leads e1 by θ what would be the equations for e1 and e2

Answer 24

e1 = Eₘₐₓ₁sinωt
e2 = Eₘₐₓ₂sin(ωt+θ)

Question 25

If e2 lags e1 by θ what would be the equations for e1 and e2

Answer 25

e1 = Eₘₐₓ₁sinωt e2 = Eₘₐₓ₂sin(ωt - θ)

Question 26

All sinusodial waveforms can be represented by a.... Also what does it's length and angle rep

Answer 26

Counterclockwise rotating vector The length represents the rms value and the angular velocity And the angle reps the phase angle

Question 28

What is the phaser form of a sinusodial voltage and current

Answer 28

V= V<θ I = I<θ Where V and I are the effective rms values and Theta is the phase angle

Question 29

The reference wave is which wave

Answer 29

The angle with no t₀

Question 30

How to convert from phasor to Time domain

Answer 30

Multiply rms by root two find ω the plug into Eₘₐₓ₁sinωt plus or minus θ