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# chp31_3 - Series In this case ∆ V= ∆ V 1 ∆ V 2 and...

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PHY2061 R. D. Field Department of Physics chp31_3.doc University of Florida Resistors in Series & Parallel Parallel: In this case V 1 = V 2 = V and I=I 1 +I 2 . Hence, I = I 1 + I 2 = V 1 /R 1 + V 2 /R 2 = (1/R 1 +1/R 2 ) V so 1/R = I/ V = 1/R 1 + 1/R 2 , where I used I 1 = V 1 /R 1 and I 2 = V 2 /R 2 . Also, V = I 1 R 1 = I 2 R 2 = IR so I 1 = R 2 I/(R 1 +R 2 ) and I 2 = R 1 I/(R 1 +R 2 ) . Resistors in parallel add inverses.
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Unformatted text preview: Series: In this case ∆ V= ∆ V 1 + ∆ V 2 and I=I 1 =I 2 . Hence, ∆ V = ∆ V 1 + ∆ V 2 = I 1 R 1 +I 2 R 2 = (R 1 +R 2 )I so R = ∆ V/I = R 1 + R 2 , where I used ∆ V 1 = I 1 R 1 and ∆ V 2 = I 2 R 2 . Resistors in series add. ∆ V R 1 R 2 I ∆ V 1 I 1 I 2 ∆ V 2 ∆ V R 1 R 2 I ∆ V 1 ∆ V 2...
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