L#7 Electric Circuits Equivalent Resistance

# L#7 Electric Circuits Equivalent Resistance - Basic Laws of...

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Basic Laws of Electric Circuits Equivalent Resistance Masoud Fathizadeh, PhD, PE Department of Engineering Technology Purdue Calumet Hammond, Indiana 46323

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Basic Laws of Circuits Equivalent Resistance: We know the following for series resistors: . . . . . . R 1 R 2 R eq R N Figure 5.1: Resistors in series . R eq = R 1 + R 2 + . . . + R N 1
Basic Laws of Circuits Equivalent Resistance: We know the following for parallel resistors: . . . . . . R eq R 1 R 2 R N Figure 5.2: Resistors in parallel. N eq R R R R 1 . . . 1 1 1 2 1 2

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Basic Laws of Circuits Equivalent Resistance: For the special case of two resistors in parallel: R eq R 1 R 2 Figure 5.3: Two resistors in parallel. 2 1 2 1 R R R R R eq 3
Basic Laws of Circuits Equivalent Resistance: Resistors in combination. By combination we mean we have a mix of series and Parallel. This is illustrated below. R 1 R 2 R 3 R 4 R 5 R eq Figure 5.4: Resistors In Series – Parallel Combination To find the equivalent resistance we usually start at the output of the circuit and work back to the input . 4

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Basic Laws of Circuits Equivalent Resistance: Resistors in combination. R 1 R 2 R 3 R x R eq 5 4 5 4 R R R R R x R 1 R 2 R y R eq 3 R R R x y Figure 5.5: Resistance reduction. 5
Equivalent Resistance: Resistors in combination . R 1 R Z R eq Y Y Z R R R R R 2 2 R eq 1 R R R Z eq Figure 5.6: Resistance reduction, final steps. 6

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## L#7 Electric Circuits Equivalent Resistance - Basic Laws of...

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