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Alternating Voltage – Chapter 6
Alternating Voltage
• Alternating voltage is produced by
generators like alternators, dynamos, or low
frequency generators LFG.
• Such generators have terminals
that reverse (switch, alternate)
their signs quickly and regularly.
Alternating Voltage Generators

• Thus the polarity (+ and -) of the terminals of
such generators does not matter


• A possible symbol of AC source is
Alternating Voltage
* An alternating variable voltage is
displayed on an oscilloscope screen as a
set of repeating cycles.
* In each cycle the voltage varies from
a maximum to a minimum value and
alternates its sign + then –
* The same cycle then repeats within
the same duration or time needed for a
cycle, called the period of a cycle.
or sinusoidal form
Sinusoidal Alternating Voltage




A common form of AC Voltage.
The Voltage supplied to homes and establishments
by EDL (Electricite du Liban) is sinusoidal alternating
voltage.
Sinusoidal Alternating Voltage




This voltage has four quantitative characteristics:
1- Maximum voltage
2- Effective voltage (or root mean square value, rms value of the
voltage)
3- Period of the voltage
4- Frequency of the voltage.
Sinusoidal Alternating Voltage
1 / 4 characteristics:


    First : along the vertical axis, voltage axis:

    1- Maximum voltage :
       U max = Sv x y

    Where y is the amplitude of the voltage or the number
    of divisions between the base line and the highest or
    lowest point.
Sinusoidal Alternating Voltage
2 / 4 characteristics:


  2- Effective voltage
  U eff = U max / 2 or U eff = U max / 1.4

  • Effective voltage is the value of the DC voltage that
  has the same effect in an identical load.
  • It is also known as the root mean square value, rms
  value of the voltage.
  • Its value can be measured directly by a voltmeter set
  on VAC mode.
  • Its value can be calculated from U max, as shown
  above for an alternating sinusoidal voltage.
  • EDL supplies us with sinusoidal alternating voltage
  of U eff = 220V
Sinusoidal Alternating Voltage
3 / 4 characteristics:

    Second: along the horizontal, time axis

    3- Period of the voltage
       T=X x Sh

    • Where X is the number of divisions along the x axis
    corresponding to one cycle.
    • And S h is the horizontal sensitivity in seconds per
    division, s/div (also called sweeping speed)

    • Then T the period of the voltage is expressed in
    the SI unit of seconds
Sinusoidal Alternating Voltage
   3 / 4 characteristics:

4- Frequency of the voltage
   f=1/T

• After calculating the period T of a voltage, we can
determine the frequency of the voltage.

•The frequency is the number of cycles in one
second, it is expressed in units of Hertz or Hz.

• The sinusoidal alternating voltage in Lebanon has a
frequency of 50 Hz.
Sv=5V/                     S h = 10 ms /
         div                        div
Name the type and determine the four characteristics of the shown
voltage.
Type of voltage is:

Characteristics:

1- Maximum voltage:



2- Effective voltage:



3- Period of the voltage:



4- Frequency of the
voltage:
Y = 3 div




S v = 5 V / div          S h = 10 ms / div
X = 4 div




S v = 5 V / div     S h = 10 ms / div
Type of voltage is:         Alternating sinusoidal voltage

Characteristics:            Having the following characteristics:

1- Maximum voltage:         U max = S v x y = 5V/div x 3 div
                                  = 15V


2- Effective voltage:       U eff = U max / 2 = 15V / 1.4
                                   = 10.71V


3- Period of the voltage:   T = S h x X = 10ms / div x 4 div
                              = 40ms or 0.04s


4- Frequency of the         f = 1 / T = 1 / 0.04s = 25 cycles per s
voltage:                    f = 25 Hz
Determine the value of x
and of y in the following
three oscillogram displays:
Oscillogram 1
Oscillogram 2
Oscillogram 3
Use the same settings of sensitivities as in the previous slide and
determine:


* Effective voltage in display 1


* The frequency of the voltage in display 3
Thank you   

Next: Book exercises
starting on page 79

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Ac And Oscilloscope

  • 2. Alternating Voltage • Alternating voltage is produced by generators like alternators, dynamos, or low frequency generators LFG. • Such generators have terminals that reverse (switch, alternate) their signs quickly and regularly.
  • 3. Alternating Voltage Generators • Thus the polarity (+ and -) of the terminals of such generators does not matter • A possible symbol of AC source is
  • 4. Alternating Voltage * An alternating variable voltage is displayed on an oscilloscope screen as a set of repeating cycles. * In each cycle the voltage varies from a maximum to a minimum value and alternates its sign + then – * The same cycle then repeats within the same duration or time needed for a cycle, called the period of a cycle.
  • 6. Sinusoidal Alternating Voltage A common form of AC Voltage. The Voltage supplied to homes and establishments by EDL (Electricite du Liban) is sinusoidal alternating voltage.
  • 7. Sinusoidal Alternating Voltage This voltage has four quantitative characteristics: 1- Maximum voltage 2- Effective voltage (or root mean square value, rms value of the voltage) 3- Period of the voltage 4- Frequency of the voltage.
  • 8. Sinusoidal Alternating Voltage 1 / 4 characteristics: First : along the vertical axis, voltage axis: 1- Maximum voltage : U max = Sv x y Where y is the amplitude of the voltage or the number of divisions between the base line and the highest or lowest point.
  • 9. Sinusoidal Alternating Voltage 2 / 4 characteristics: 2- Effective voltage U eff = U max / 2 or U eff = U max / 1.4 • Effective voltage is the value of the DC voltage that has the same effect in an identical load. • It is also known as the root mean square value, rms value of the voltage. • Its value can be measured directly by a voltmeter set on VAC mode. • Its value can be calculated from U max, as shown above for an alternating sinusoidal voltage. • EDL supplies us with sinusoidal alternating voltage of U eff = 220V
  • 10. Sinusoidal Alternating Voltage 3 / 4 characteristics: Second: along the horizontal, time axis 3- Period of the voltage T=X x Sh • Where X is the number of divisions along the x axis corresponding to one cycle. • And S h is the horizontal sensitivity in seconds per division, s/div (also called sweeping speed) • Then T the period of the voltage is expressed in the SI unit of seconds
  • 11. Sinusoidal Alternating Voltage 3 / 4 characteristics: 4- Frequency of the voltage f=1/T • After calculating the period T of a voltage, we can determine the frequency of the voltage. •The frequency is the number of cycles in one second, it is expressed in units of Hertz or Hz. • The sinusoidal alternating voltage in Lebanon has a frequency of 50 Hz.
  • 12. Sv=5V/ S h = 10 ms / div div Name the type and determine the four characteristics of the shown voltage.
  • 13. Type of voltage is: Characteristics: 1- Maximum voltage: 2- Effective voltage: 3- Period of the voltage: 4- Frequency of the voltage:
  • 14. Y = 3 div S v = 5 V / div S h = 10 ms / div
  • 15. X = 4 div S v = 5 V / div S h = 10 ms / div
  • 16. Type of voltage is: Alternating sinusoidal voltage Characteristics: Having the following characteristics: 1- Maximum voltage: U max = S v x y = 5V/div x 3 div = 15V 2- Effective voltage: U eff = U max / 2 = 15V / 1.4 = 10.71V 3- Period of the voltage: T = S h x X = 10ms / div x 4 div = 40ms or 0.04s 4- Frequency of the f = 1 / T = 1 / 0.04s = 25 cycles per s voltage: f = 25 Hz
  • 17. Determine the value of x and of y in the following three oscillogram displays:
  • 21. Use the same settings of sensitivities as in the previous slide and determine: * Effective voltage in display 1 * The frequency of the voltage in display 3
  • 22. Thank you  Next: Book exercises starting on page 79