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Unformatted text preview: the total voltage is the sum of the voltage drops in all the resistors. v1 R1i, v2 R2i, v3 R3i v v1 v2 v3 R1 R2 R3 i Req i Req R1 R2 R3
Resistors in series lead to increased resistance. N resistors of value R in series have equivalent resistance of NR. Resistances in parallel Our aim is to find the equivalent resistance of a parallel connection of resistors to simplify the circuit. The voltages across all the resistors are identical. v1 v2 v3 v From KCL, the sum of currents in the individual resistances is equal to the current in the equivalent resistance. v
, i2 , i3 R1
R3 i i1 i2 i3 i1 26 EE1002 Introduction to Circuits and Systems v
v Req R1 R2 R3
1 Req R1 R2 R3 Resistances in parallel reduce the equivalent resistance. Two resistances in parallel: Req R1 R2 R1 R2 Two equal resistances in parallel Req N resistances of equal values, Req R 2 R N ** All the appliances at home are connected to the main supply in parallel, as all of them need the same voltage to operate. The total current d...
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This document was uploaded on 01/20/2014.
- Winter '14