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lecture12 - b Physics 2102 Gabriela Gonzlez a Two resistors...

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1 Physics 2102 Gabriela González b a Two resistors are “in series” if they are connected such that the same current flows in both. The “equivalent resistance” is a single imaginary resistor that can replace the resistances in series. “Walking the loop” results in : E i R 1 - i R 2 - i R 3 =0 i = E /(R 1 +R 2 +R 3 ) In the circuit with the equivalent resistance, E i R eq =0 i = E /R eq Thus,
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2 Two resistors are “in parallel” if they are connected such that there is the same potential drop through both. The “equivalent resistance” is a single imaginary resistor that can replace the resistances in parallel. “Walking the loops” results in : E i 1 R 1 =0, E i 2 R 2 =0, E i 3 R 3 =0 The total current delivered by the battery is i = i 1 + i 2 + i 3 = E /R 1 + E /R 2 + E /R 3 . In the circuit with the equivalent resistor, i = E /R eq . Thus, Resistors Capacitors Key formula : V= i R Q=CV In series : same current same charge R eq = R j 1/C eq = 1/C j In parallel : same voltage same voltage 1/R eq = 1/R j C eq = C j
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3 Loop rule
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lecture12 - b Physics 2102 Gabriela Gonzlez a Two resistors...

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