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Objective:  Students will have a better understanding of hybrid circuits and how to solve for:

  1. Total Resistance
  2. Current
  3. Power
  4.                    Definition
  5. **A hybrid circuit is a circuit made up partly by a series circuit, and partly by a parallel circuit.
  6.   Series 1 resistor wired after another
  7. f
  8. Parallel Resistors are set so that the current can make
  9.                 more than 1 path.
  10.  
  12.            HYBRID CIRCUIT
  16. For an in depth understanding of resistors, and its components go to CRISTIN'S CIRCUIT SPECTACULAR PAGE!
  19. How to Solve for the Total Resistance of a Hybrid Circuit
  20. 1. Solve for the resistors in parallel
  21. 2. Then take that value and add it to anything that is in series.
  22. For example:
  23. Using the picture above solve for the total resistance if:
  24.                 Resistor 1 =  250 ohms
  25.                 Resistor 2 = 55 ohms
  26.                 Resistor 3 = 25 ohms
  27.                 Resistor 4 = 100 ohms
  28.                 Resistor 5 = 450 ohms
  29. *Note*  Resistors 2, 3, and 4 are in parallel!!
  30.  
  31. Resistors in Parallel
  32.  
  33.   1/55 ohms + 1/25 ohms + 1/100 ohms =1/.06818 ohms or (14.6 ohms)
  34.            When using your calculator type in your number, and then press the inverse button which is x^-1.  You inverse every number including your answer.  On the TI-83's the inverse button is located under the MATH button!!
  35.  
  36. Next take your total resistance of the parallel circuit and simply add it to the resistors that are in series.
  37. 250 ohms (R-1) + 14.6 ohms (R-2, R-3, R-4) + 450 ohms (R-5) = 714.6 ohms
  38. The Total Resistance of the Hybrid Circuit is 714.6 ohms.
  41. How to solve for the Current in a Hybrid Circuit
  42. To solve for the current of a hybrid circuit and for parallel and series circuit use the following formula:
  44. So to solve for the current you take the voltage of the battery and divide it by the total resistance in ohms.  That will you give you the current in amps.
  47. How to solve for the Power in a Hybrid Circuit
  48. To solve for the power in a hybrid circuit and for a parallel, and series circuit use the following formula:
  50. So to solve for the power you take the volts and multiply it by the current (amps).  That will give you the power of the circuit in watts.
  53. Example
  54. In the following problems solve for the total resistance, current, and power.
  55. 1) Resistor 1 is in series and is 230 ohms.  Resistors 2 and
  56.    3 are in parallel. Resistor 2 is 10 ohms, and Resistor 3
  57.    is 60 ohms.  Solve for the Total Resistance, Power, and
  58.    current if the battery is at 2 volts.
  59.  Total Resistance.....
  60.  1/10 ohms + 1/60 ohms = 1/.11666 ohms or (8.57 ohms)
  61.        8.57 ohms + 230 ohms = 238.57 ohms
  62.   Current.....
  63.  
  64.      2 Volts (V) / 238.57 ohms = .00838 amps (A)
  65.   Power.....
  66. (2 Volts (V)) x (.00838 amps (A)) = .01676 watts
  69. Example
  70. 2)  In a hybrid circuit, resistors 1, 2, and 3 are a series circuit.  Resistors 4, 5, 6, and 7 are connected in parallel.  Solve for the total resistance, power, and current if  the battery is at 5 volts.
  71.  R1= 320 ohms   R2= 150 ohms  R3= 200 ohms   R4= 30 ohms
  72.  R5= 30 ohms   R6= 65 ohms   R7= 50 ohms
  74.     Total Resistance
  75. 1/30 ohms + 1/30 ohms + 1/65 ohms + 1/50 ohms =.10205 ohms (9.788 ohms)
  76. 320 ohms + 150 ohms + 200 ohms + 9.788 ohms = 679.788 ohms
  77. Current
  78.   5 Volts (V) / 679.788 ohms =.00735 amps
  79. Power
  80. 5 volts X .00735 amps =.03675 watts
  82. Example
  83. 3)  A hybrid circuit is made up of 6 resistors.  Resistor 1 is in series and is 92 ohms.  Resistors 2-5 are connected in parallel.  R-2 = 300 ohms, R-3 =30 ohms, R-4 = 15 ohms, and R-5 = 100 ohms.  Resistor 6 is also in a series and is 40 ohms.  Solve for the total resistance, power, and current if the battery is at 25 volts.
  84. Total Resistance
  85. 1/300 ohms + 1/30 ohms + 1/15 ohms + 1/100 ohms = 1/.1133 ohms
  86.        or 8.824 ohms.
  87. 8.824 ohms + 92 ohms + 40 ohms = 140.824 ohms
  88. Current
  89. 25 Volts(V) / 140.824 ohms = .1775 amps
  90. Power
  91. 25 Votls(V) x .1775 amps = 4.438 watts
  94.  Where do you encounter Hybrid Circuits??
  95. Hybrid circuits are all around us.  Hybrid circuits are found in many electronic devices from computers to amplifiers that we come in contact with everyday.
  98.  If interested in finding out more about basic circuits go to here.
  99. Chris's Page!!
  102. If interested in finding out about resistance go to Erin's page!
  105. ***Pictures of series and parallel circuits courtesy of:
  108. www.physics.uoguelph.ca/tutorials/ohm/Q.ohm.intro.series.html


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