Calculate the resistance of the mercury

Reference no: EM13242139

In one form of plethysmograph (a device for measuring volume), a rubber capillary tube with an inside diameter of 1.22 mm is filled with mercury at 20°C. The resistance of the mercury is measured with the aid of electrodes sealed into the ends of the tube. If 100.00 cm of the tube is wound in a spiral around a patient's upper arm, the blood flow during a heartbeat causes the arm to expand, stretching the tube to a length of 100.06 cm. From this observation, and assuming cylindrical symmetry, you can find the change in volume of the arm, which gives an indication of blood flow. Take ?Hg = 9.4 10-7 ? · m.

(a) Calculate the resistance of the mercury.

(b) Calculate the fractional change in resistance during the heartbeat. Hint: Because the cylindrical volume is constant,
V = AiLi = AfLf and Af = Ai(Li/Lf).

% increase

Reference no: EM13242139

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