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Ammeter and Voltmeter
Objectives:
3.10   Explain the effect of incorporating a
measuring instrument into an electric circuit.
What is the resistance of a circuit
with a current intensity of 5A & a
potential difference of 10V?
R =      V
         I
R =      10
         5
R=      2Ω
Adding an Ammeter into a
              Circuit
   In order to measure the
    current traveling through
    a circuit, an ammeter
    must be inserted into the
    circuit.



   An ammeter is always        A
    connected inside the
    circuit in series.
Connecting An Ammeter
In each diagram, is the ammeter hooked up correctly
to these circuits?

                     A
                                                A
A




            A
                      A                  A
Adding An Ammeter In A Series Circuit
     In a series circuit an ammeter can be placed
     anywhere along the wire and it will have the same
     current intensity reading.
                   A1                                     A2
                        IT =3 amps      5Ω


                                                  3Ω
              A4   10 Ω
                               A3

A1 = 3 amps
                                                           SERIES             PARALLEL
A2 = 3 amps                    Current (I)                  SAME              DIFFERENT

A3 = 3 amps                    Potential Difference
                               (V)
                                                         DIFFERENT              SAME


                               Resistance (R)         Req = R1 + R2 + R3
A4 = 3 amps                                                 +…
                                                                            1
                                                                              =
                                                                                1
                                                                                  +
                                                                                    1
                                                                                      +
                                                                                        1
                                                                           Req R 1 R 2 R 3
Adding an Ammeter into a Parallel
                    Circuit
                          IT = 8 A

                              A


    IT = 8 A    A                                         A      I2 = 2 A



                           I1 = 6A   A



       Recall in parallel, current is different.

                                                               SERIES       PARALLEL
Ammeters placed in a parallel            Current (I)            SAME        DIFFERENT
 circuit can have different              Potential            DIFFERENT       SAME
           readings.                     Difference (V)

                                         Resistance       Req = R1 + R2    1   1   1   1
                                                            + R3 + …         =   +   +
                                         (R)                              Req R 1 R 2 R 3
What is the reading on the ammeters?



            A1
                                            A3

                   I1 = 4A
IT = 12A
                                                 I2 = 8 A
                             A2
                    A4



A1 = 12A         A2 = 4A          A3 = 8A        A4 = 12A
Which ammeter correctly measures the current
           flowing through R1?
Ammeter #2 measures the current flowing through R1
 Which ammeter correctly measures the current
            flowing through R2?
 Ammeter #3 measures the current flowing through R2


          A1

                    R1              A3
    Req

                         A2              R2

               A4
  Which ammeter correctly measures the total
                  current?
     Ammeter #1 & 4 measures the total current
What is the reading on the ammeter (A 1)?



                                            A1

                         I1 = 9A
     IT = 14A
                                                 I2 = 5 A



Recall   IT = I1 + I2
So       14A = 9A + I2                 A1 must read 5 amps

         I2 = 5A
If the reading on ammeter 2 (A2) is 10 amps & the
          reading on ammeter 3 (A3) is 4 amps, what is the
                     reading on ammeter 1 (A1)?

                 A1         I1 = 10 A       A3


 IT = 14 A                                        I2 = 4 A

                               A2



Recall   IT = I1 + I2
So       IT = 10A + 4A                  A1 must read 14 amps

         IT = 14A
Adding a Voltmeter to a Circuit
   In order to measure the
    voltage or potential
    difference traveling
    through a circuit, a
    voltmeter must be
    inserted into the circuit.



   A voltmeter is always
    connected outside the
    circuit in parallel.
                                 V
Connecting A Voltmeter
In each diagram, is the voltmeter hooked up correctly
to these circuits?
       V
                                       V

                                 V




       V

                 V

                                           V
Voltmeter In A Series Circuit
             In a series circuit a voltmeter does NOT read the
             same throughout the entire circuit.

                                                        V2            V =3 V
                                          V1



                                      VT =11 V
                                                                           V3 V =6 V




                                 V4
                                                                             SERIES             PARALLEL

                               V =2 V          Current (I)                    SAME              DIFFERENT

             Notice….                          Potential Difference        DIFFERENT              SAME
                                               (V)
Voltmeter 1 = Voltmeter 2 + Voltmeter 3                                 Req = R1 + R2 + R3
                                               Resistance (R)                                 1
                                                                                                =
                                                                                                  1
                                                                                                    +
                                                                                                      1
                                                                                                        +
                                                                                                          1
             + Voltmeter 4                                                    +…
                                                                                             Req R 1 R 2 R 3
For this series circuit, what is the reading on the
      voltmeter given the following information?

                                           V

                   he
           ng on t
   er eadi    is 5
                   V                       V1 =?
Th       ter             VT =30 V
  voltme
                                                   V2 = 15



                    V3 =10 V
                                    Note….
                                VT = V1 + V2 +V3
                               30 = V1 + 15 + 10
                                V1 = 5 V
For this series circuit, what is the reading on the
      voltmeter given the following information?

                                V

                 he
          ng on t
    r eadi is 18 V                   V1 =10 V
The       er                VT = ?
 volt met
                                                V2 = 5 V



                      V3 =3 V
                                                     Note….
                                                 VT = V1 + V2 +V3
                                                VT = 10 + 5 + 3
                                                  V1 = 18 V
Adding a Voltmeter into a Parallel
                        Circuit


                                       V1 = 8V
              VT = 8V        V
                                                         V2 = 8V
     V
                                                                           V



         Recall in parallel, potential difference is the same.

                                                             SERIES            PARALLEL
Voltmeters placed in a parallel         Current (I)           SAME             DIFFERENT
  circuit will have the same            Potential           DIFFERENT            SAME

           readings.                    Difference (V)
                                                           Req = R1 + R2
                                        Resistance                          1   1   1   1
                                                             + R3 + …         =   +   +
                                        (R)                                Req R 1 R 2 R 3
What is the reading on the voltmeters?
                           V1
                                     VT = 12V



V1 = 12V                        V2


V2 = 12V


V3 = 12V              V3
Problem Solving Using Ammeters
and Voltmeters



            It is important to
          be able to use all of
       the information discussed
     in this section and apply it to
             solving circuits.




                              Let’s try some problems….
SERIES              PARALLEL
                             Current (I)                  SAME              DIFFERENT
                             Potential Difference      DIFFERENT               SAME
                             (V)

                             Resistance (R)         Req = R1 + R2 + R3    1   1   1   1
                                                                            =   +   +
                                                          +…             Req R 1 R 2 R 3

 R V                   Req = 20 Ω          R1 = 12 Ω
  =
 1 I                                                                       R V
                       VT =                V1 =                             =
                                                                           1 I
 20 V                  IT = 2 A            I1 = 2 A
    =
  1   2                                                                      6 V
            A                                                                 =
                                               R2 = 6 Ω                      1 2
 V=40V                                         V2 = 12 V
                R3 = 2 Ω                                                     V=12V
                                               I2 = 2 A
                V3 =
                I3 = 2 A

1. What is the voltage going through V2 if the reading on the
ammeter is 2 amps?

2. What is the voltage going through VT if the reading on the
ammeter is 2 amps?
If the voltmeter reads 20V & the ammeter reads 1A,
         solve for the equivalent resistance, Req?

                                VT = 20V
                                            1     1    1
                       V                        = +
R V                                        Re q R1 R2
  =                                         1     1 1
1   I                                           =    +
                                           Re q 20 5
R2 V2
  =                                         1     0.25
1   I2                     R1 = 5Ω              =
                           V1 = 20V        Re q    1
R2 20
  =                                         Req = 4Ω
1   1
         R2 = ?20Ω

         V2 = 20V                 A

         I2 = 1A
KEY POINTS
   Voltmeter – always placed outside of
    circuit attached in parallel



   Ammeter – is always placed inside
    circuit attached in series
Activities
   Worksheet # 14
References
   Student Study Guide – Physical
    Science 416/436 - MEQ
   Science Quest – Grenier, Daigle,
    Rheaume – 1998, Cheneliere
   Google Images
   Animation Factory
Alternative Educational Experiences
         through e-Learning

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AST 406 Ammeter and Voltmeter

  • 1. Ammeter and Voltmeter Objectives: 3.10 Explain the effect of incorporating a measuring instrument into an electric circuit.
  • 2. What is the resistance of a circuit with a current intensity of 5A & a potential difference of 10V? R = V I R = 10 5 R= 2Ω
  • 3. Adding an Ammeter into a Circuit  In order to measure the current traveling through a circuit, an ammeter must be inserted into the circuit.  An ammeter is always A connected inside the circuit in series.
  • 4. Connecting An Ammeter In each diagram, is the ammeter hooked up correctly to these circuits? A A A A A A
  • 5. Adding An Ammeter In A Series Circuit In a series circuit an ammeter can be placed anywhere along the wire and it will have the same current intensity reading. A1 A2 IT =3 amps 5Ω 3Ω A4 10 Ω A3 A1 = 3 amps SERIES PARALLEL A2 = 3 amps Current (I) SAME DIFFERENT A3 = 3 amps Potential Difference (V) DIFFERENT SAME Resistance (R) Req = R1 + R2 + R3 A4 = 3 amps +… 1 = 1 + 1 + 1 Req R 1 R 2 R 3
  • 6. Adding an Ammeter into a Parallel Circuit IT = 8 A A IT = 8 A A A I2 = 2 A I1 = 6A A Recall in parallel, current is different. SERIES PARALLEL Ammeters placed in a parallel Current (I) SAME DIFFERENT circuit can have different Potential DIFFERENT SAME readings. Difference (V) Resistance Req = R1 + R2 1 1 1 1 + R3 + … = + + (R) Req R 1 R 2 R 3
  • 7. What is the reading on the ammeters? A1 A3 I1 = 4A IT = 12A I2 = 8 A A2 A4 A1 = 12A A2 = 4A A3 = 8A A4 = 12A
  • 8. Which ammeter correctly measures the current flowing through R1? Ammeter #2 measures the current flowing through R1 Which ammeter correctly measures the current flowing through R2? Ammeter #3 measures the current flowing through R2 A1 R1 A3 Req A2 R2 A4 Which ammeter correctly measures the total current? Ammeter #1 & 4 measures the total current
  • 9. What is the reading on the ammeter (A 1)? A1 I1 = 9A IT = 14A I2 = 5 A Recall IT = I1 + I2 So 14A = 9A + I2 A1 must read 5 amps I2 = 5A
  • 10. If the reading on ammeter 2 (A2) is 10 amps & the reading on ammeter 3 (A3) is 4 amps, what is the reading on ammeter 1 (A1)? A1 I1 = 10 A A3 IT = 14 A I2 = 4 A A2 Recall IT = I1 + I2 So IT = 10A + 4A A1 must read 14 amps IT = 14A
  • 11. Adding a Voltmeter to a Circuit  In order to measure the voltage or potential difference traveling through a circuit, a voltmeter must be inserted into the circuit.  A voltmeter is always connected outside the circuit in parallel. V
  • 12. Connecting A Voltmeter In each diagram, is the voltmeter hooked up correctly to these circuits? V V V V V V
  • 13. Voltmeter In A Series Circuit In a series circuit a voltmeter does NOT read the same throughout the entire circuit. V2 V =3 V V1 VT =11 V V3 V =6 V V4 SERIES PARALLEL V =2 V Current (I) SAME DIFFERENT Notice…. Potential Difference DIFFERENT SAME (V) Voltmeter 1 = Voltmeter 2 + Voltmeter 3 Req = R1 + R2 + R3 Resistance (R) 1 = 1 + 1 + 1 + Voltmeter 4 +… Req R 1 R 2 R 3
  • 14. For this series circuit, what is the reading on the voltmeter given the following information? V he ng on t er eadi is 5 V V1 =? Th ter VT =30 V voltme V2 = 15 V3 =10 V Note…. VT = V1 + V2 +V3 30 = V1 + 15 + 10 V1 = 5 V
  • 15. For this series circuit, what is the reading on the voltmeter given the following information? V he ng on t r eadi is 18 V V1 =10 V The er VT = ? volt met V2 = 5 V V3 =3 V Note…. VT = V1 + V2 +V3 VT = 10 + 5 + 3 V1 = 18 V
  • 16. Adding a Voltmeter into a Parallel Circuit V1 = 8V VT = 8V V V2 = 8V V V Recall in parallel, potential difference is the same. SERIES PARALLEL Voltmeters placed in a parallel Current (I) SAME DIFFERENT circuit will have the same Potential DIFFERENT SAME readings. Difference (V) Req = R1 + R2 Resistance 1 1 1 1 + R3 + … = + + (R) Req R 1 R 2 R 3
  • 17. What is the reading on the voltmeters? V1 VT = 12V V1 = 12V V2 V2 = 12V V3 = 12V V3
  • 18. Problem Solving Using Ammeters and Voltmeters It is important to be able to use all of the information discussed in this section and apply it to solving circuits. Let’s try some problems….
  • 19. SERIES PARALLEL Current (I) SAME DIFFERENT Potential Difference DIFFERENT SAME (V) Resistance (R) Req = R1 + R2 + R3 1 1 1 1 = + + +… Req R 1 R 2 R 3 R V Req = 20 Ω R1 = 12 Ω = 1 I R V VT = V1 = = 1 I 20 V IT = 2 A I1 = 2 A = 1 2 6 V A = R2 = 6 Ω 1 2 V=40V V2 = 12 V R3 = 2 Ω V=12V I2 = 2 A V3 = I3 = 2 A 1. What is the voltage going through V2 if the reading on the ammeter is 2 amps? 2. What is the voltage going through VT if the reading on the ammeter is 2 amps?
  • 20. If the voltmeter reads 20V & the ammeter reads 1A, solve for the equivalent resistance, Req? VT = 20V 1 1 1 V = + R V Re q R1 R2 = 1 1 1 1 I = + Re q 20 5 R2 V2 = 1 0.25 1 I2 R1 = 5Ω = V1 = 20V Re q 1 R2 20 = Req = 4Ω 1 1 R2 = ?20Ω V2 = 20V A I2 = 1A
  • 21. KEY POINTS  Voltmeter – always placed outside of circuit attached in parallel  Ammeter – is always placed inside circuit attached in series
  • 22. Activities  Worksheet # 14
  • 23. References  Student Study Guide – Physical Science 416/436 - MEQ  Science Quest – Grenier, Daigle, Rheaume – 1998, Cheneliere  Google Images  Animation Factory