Question
BIO The average bulk resistivity of the human body (apart from surface resistance of the skin) is about $5.0 \Omega \cdot \mathrm{m}$. The conducting path between the hands can be represented approximately as a cylinder $1.6 \mathrm{~m}$ long and $0.10 \mathrm{~m}$ in diameter. The skin resistance can be made negligible by soaking the hands in salt water. (a) What is the resistance between the hands if the skin resistance is negligible? (b) What potential difference between the hands is needed for a lethal shock current of $100 \mathrm{~mA}$ ? (Note that your result shows that small potential differences produce dangerous currents when the skin is damp.) (c) With the current in part (b), what power is dissipated in the body?
Step 1
The diameter is given as 0.1 m, so the radius will be 0.1/2 = 0.05 m. The cross-sectional area (A) of a cylinder is given by the formula $\pi r^2$, so we have $A = \pi (0.05)^2 = 0.00785 m^2$. Show more…
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The average bulk resistivity of the human body (apart from surface resistance of the skin) is about 5.0$\Omega$ $\cdot$ m. The conducting path between the hands can be represented approximately as a cylinder 1.6 m long and 0.10 m in diameter. The skin resistance can be made negligible by soaking the hands in salt water. (a) What is the resistance between the hands if the skin resistance is negligible? (b) What potential difference between the hands is needed for a lethal shock current of 100 mA? (Note that your result shows that small potential differences produce dangerous currents when the skin is damp.) (c) With the current in part (b), what power is dissipated in the body?
The average resistivity of the human body (apart from surface resistance of the skin) is about $5.0 \Omega \cdot \mathrm{m} .$ The conducting path between the right and left hands can be approximated as a cylinder 1.6 m long and 0.10 m in diameter. The skin resistance can be made negligible by soaking the hands in salt water. a. What is the resistance between the hands if the skin resistance is negligible? b. If skin resistance is negligible, what potential difference between the hands is needed for a lethal shock current of $100 \mathrm{mA} ?$ Your result shows that even small potential differences can produce dangerous currents when skin is damp.
Electricity through the body, II. The average bulk resistivity of the human body (apart from surface resistance of the skin) is about 5.0$\Omega \cdot \mathrm{m} .$ The conducting path between the hands can be represented approximately as a cylinder 1.6 $\mathrm{m}$ long and 0.10 $\mathrm{m}$ in diameter. The skin resistance can be made negligible by soaking the hands in salt water. (a) What is the resistance between the hands if the skin resistance is negligible? (b) What potential difference between the hands is needed for a lethal shock current of 100 $\mathrm{mA}$ ? (Note that your result shows that small potential differences produce dangerous currents when the skin is damp.) (c) With the current in part (b), what power is dissipated in the body?
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