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Bridge Circuits

                  Dr. Ashraf Saleem




              Dr. Ashraf Saleem       1
Bridge Circuits
    g
   Wheatstone Bridge: The primary application of this
                      g        p      y pp
   bridge in signal conditioning is to convert variations of
   resistance into variation of voltage




                          Dr. Ashraf Saleem                    2
Wheatstone Bridge
               g




   VO will equal zero. In this situation, the bridge is said to be
   BALANCED. Any change in any resistive element will result in an
   UNBALANCED condition, hence VO will be non-zero.
                              ,


                           Dr. Ashraf Saleem                         3
Wheatstone Bridge
               g
 If we replace R3 with an active strain gauge, RG, which
    will vary b ∆R when pressure i applied (th arrow
      ill     by     h              is    li d (the
    through the resistor shows that it has a variable value),
    then




                          Dr. Ashraf Saleem                     4
Example 1:
    p

 The resistors in a bridge are given by
  R1=R2=R3=120Ω and R4=121Ω. If the
  supply is 10V Find the voltage offset?
            10V.




                  Dr. Ashraf Saleem        5
AC Bridges
       g

  AC bridges are used mainly to detect changes
  in inductance and/or capacitance




                                At balance condition




                   Dr. Ashraf Saleem                   6
Example 2:
    p

 An ac bridge is in balance with the
 following constants: arm AB, R = 200 Ω
 in series with L = 15 9 mH ; arm BC R =
                    15.9           BC,
 300 Ω in series with C = 0.265 µF; arm
 CD,unknown;
 CD unknown; arm DA = 450 Ω The
                     DA,        Ω.
 oscillator frequency is 1 kHz. Find the
 constants of arm CDCD.



                    Dr. Ashraf Saleem      7
Comparison Bridge: Capacitance
   p           g     p
 Measure an unknown capacitance by comparing it with a
                      p          y    p    g
   Known capacitance.




                       Dr. Ashraf Saleem                 8
Comparison Bridge: Inductance
   p           g
 Measure an unknown inductance by comparing it with a
                                y    p    g
   Known inductance.




                       Dr. Ashraf Saleem                9
Maxwell Bridge
            g

 Measure an unknown inductance in terms of a
  known capacitance




                    Dr. Ashraf Saleem          10

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Bridge circuits

  • 1. Bridge Circuits Dr. Ashraf Saleem Dr. Ashraf Saleem 1
  • 2. Bridge Circuits g Wheatstone Bridge: The primary application of this g p y pp bridge in signal conditioning is to convert variations of resistance into variation of voltage Dr. Ashraf Saleem 2
  • 3. Wheatstone Bridge g VO will equal zero. In this situation, the bridge is said to be BALANCED. Any change in any resistive element will result in an UNBALANCED condition, hence VO will be non-zero. , Dr. Ashraf Saleem 3
  • 4. Wheatstone Bridge g If we replace R3 with an active strain gauge, RG, which will vary b ∆R when pressure i applied (th arrow ill by h is li d (the through the resistor shows that it has a variable value), then Dr. Ashraf Saleem 4
  • 5. Example 1: p The resistors in a bridge are given by R1=R2=R3=120Ω and R4=121Ω. If the supply is 10V Find the voltage offset? 10V. Dr. Ashraf Saleem 5
  • 6. AC Bridges g AC bridges are used mainly to detect changes in inductance and/or capacitance At balance condition Dr. Ashraf Saleem 6
  • 7. Example 2: p An ac bridge is in balance with the following constants: arm AB, R = 200 Ω in series with L = 15 9 mH ; arm BC R = 15.9 BC, 300 Ω in series with C = 0.265 µF; arm CD,unknown; CD unknown; arm DA = 450 Ω The DA, Ω. oscillator frequency is 1 kHz. Find the constants of arm CDCD. Dr. Ashraf Saleem 7
  • 8. Comparison Bridge: Capacitance p g p Measure an unknown capacitance by comparing it with a p y p g Known capacitance. Dr. Ashraf Saleem 8
  • 9. Comparison Bridge: Inductance p g Measure an unknown inductance by comparing it with a y p g Known inductance. Dr. Ashraf Saleem 9
  • 10. Maxwell Bridge g Measure an unknown inductance in terms of a known capacitance Dr. Ashraf Saleem 10