- #1

Coop

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## Homework Statement

A person gains weight by adding fat - and therefore adding girth - to his body and his limbs, with the amount of muscle remaining constant. How will this affect the electrical resistance of his limbs?

a. the resistance will stay the same

b. the resistance will increase

c. the resistance will decrease

## Homework Equations

[itex]R=\frac{\rho L}{A}[/itex]

## The Attempt at a Solution

The answer is that the electrical resistance will decrease, but I don't get why. I get that the question hinted that area will increase ("adding girth"), which would make the resistance go down. But wouldn't resistivity also increase (fat has a higher [itex]\rho[/itex] than muscle)? This would make the resistance go up if it exceeded the effects of the increase in area.

Why is the answer that it will decrease resistance?

Thanks