The terminals A and B in the figure(Figure 1) are connected to a 9.0-V battery.

Question

The terminals A and B in the figure(Figure 1) are connected to a 9.0-V battery. Suppose R_1 = 2.3 ohm, R_2 = 3.4 ohm, R_3 = 5.6 ohm, R_4 = 2.7 ohm, R_5 = 8.7 ohm, R_6 = 5.3 ohm. Find the current flowing through each resistor. Express your answers using two significant figures separated by commas. I_1, I_2, I_3, I_4, I_5, I_6 = A Is the potential difference across the R_6 resistor greater than, less than, or the same as the potential difference across the R_1 resistor? greater than less than the same as

Explanation / Answer

A) i1 = V/R1 = 9/2.3 = 3.9 A

i2 = 9/3.4 = 2.6 A

equivalent of R3,R4,R5 = 1/ [1/5.6+1/2.7+1/8.7] = 1.506

Voltage across them = 9*1.506/[1.506+5.3] = 1.991

i3 = 1.991/5.6 = 0.36 A

i4 = 1.991/2.7 = 0.74 A

i5 = 1.991/8.7 = 0.23 A

i6 = [9- 1.991]/5.3 = 1.3 A

b) less than

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