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Example 26 â 5 Current in one branch. What is the current flowing through the 500-ï resister in the figure? What do we need to find first? We need to find the total current. To do that we need to compute the equivalent resistance. 1 1 12 1 ï« ï½ ï½ Req of the small parallel branch is: RP 500 700 3500 Req of the circuit is: Req ï½ 400 ï« 3500 ï½ 400 ï« 292 ï½ 692ï 12 V 12 ï½ ï½ 17mA Thus the total current in the circuit is I ï½ Req 692 RP ï½ 3500 12 The voltage drop across the parallel branch is Vbc ï½ IRP ï½ 17 ï´ 10ï3 ï 292 ï½ 4.96V The current flowing across 500-ï resister is therefore Vbc 4.96 ï½ 9.92 ï´ 10ï3 ï½ 9.92mA ï½ R 500 I 700 ï½ I ï I 500 ï½ 17 ï 9.92 ï½ 7.08mA What is the current flowing 700-ï resister? Vbc I 500 ï½ Thursday, Oct. 13, 2011 PHYS 1444-003, Fall 2011 Dr. Jaehoon Yu 13