(a) A general rule for estimating the capacitance C of

Chapter 24, Problem 24.70

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(a) A general rule for estimating the capacitance C of anisolated conducting sphere with radius r is C (in pF) r (in cm).That is, the numerical value of C in pF is about the same asthe numerical value of the spheres radius in cm. Justify thisrule. (b) Modeling the human body as a 1-m-radiusconducting sphere, use the given rule to estimate yourbodys capacitance. (c) While walking across a carpet, youacquire an excess static electricity charge Q and produce a0.5-cm spark when reaching out to touch a metallic doorknob.The dielectric strength of air is 30kV/cm. Use thisinformation to estimate Q (in fxC).

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