The horizontal R 1 = 3.0 ? resistors in the two circuits in the figure represent

Question

The horizontal R1 = 3.0 ? resistors in the two circuits in the figure represent the resistance of a small horizontal length of fluid inside an axon. The R2 = 16 ? resistors represent the resistance across the axon membrane for a tiny length of axon. The R3 = 11 ? resistor to the right side of each "ladder" is the effective resistance in front of the axon sections under consideration.

Part A

Determine the resistance between B and G of the small length of axon shown in (Figure 1) .

Part B

Determine the resistance between A and G of the slightly longer length axon shown in (Figure 1)

Explanation / Answer

A)

R23 = R2R3/(R2 + R3) = 176/27 = 6.5 ohm

RBG = R23 + R1 = 6.5 + 3 = 9.5 ohm

B)

R23 = R2R3/(R2 + R3) = 176/27 = 6.5 ohm

R123 = R23 + R1 = 6.5 + 3 = 9.5 ohm

RBG = R123R2/R123 + R2 = 9.5 + 16 = 25.5 ohm

R AG = RBG + R1 = 41.5 ohm

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