6. Two wires A and B with circular cross sections are made of the same metal and have equal lengths, but the resis- tance of wire A is three times greater than that of wire B. (i) What is the ratio of the cross-sectional area of A to that of B? (a) 3 (b) √3 (c) 1 (d) 1/√3 (e) (ii) What is the ratio of the radius of A to that of B? Choose from the same pos- sibilities as in part (i). 7. A metal wire of resistance R is cut into three equal pieces that are then placed together side by side to form a new cable with a length equal to one-third the original length. What is the resistance of this new cable? (a) R (b) R (c) R (d) 3R (e) 9R 8. A current-carrying ohmic metal wire has a cross-sectional area that gradually becomes smaller from one end of the wire to the other. The current has the same value for each section of the wire, so charge does not accumulate OPPO A52 2022/06/12 22:43

6. Two wires A and B with circular cross sections are made of the same metal and have equal lengths, but the resis- tance of wire A is three times greater than that of wire B. (i) What is the ratio of the cross-sectional area of A to that of B? (a) 3 (b) √3 (c) 1 (d) 1/√3 (e) (ii) What is the ratio of the radius of A to that of B? Choose from the same pos- sibilities as in part (i). 7. A metal wire of resistance R is cut into three equal pieces that are then placed together side by side to form a new cable with a length equal to one-third the original length. What is the resistance of this new cable? (a) R (b) R (c) R (d) 3R (e) 9R 8. A current-carrying ohmic metal wire has a cross-sectional area that gradually becomes smaller from one end of the wire to the other. The current has the same value for each section of the wire, so charge does not accumulate OPPO A52 2022/06/12 22:43

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Physics And Measurement

Section: Chapter Questions

Problem 1.67AP: A rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its...

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A rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its density increases steadily between its ends from 2.70 g/cm3 to 19.3 g/cm3. (a) Identify the constants B and C required in the expression = B + Cx to describe the variable density. (b) The mass of the rod is given by m=allmaterialdV=allxAdx=014.0cm(B+Cx)(9.00cm2)dx Carry out the integration to find the mass of the rod.
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Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber a) If the sample of gold,with a mss of 27.63g, is pressed into a leaf of 2 um thickness, what is the area of the leaf? b)If instead,the gold is drawn out into a cylindrical fiber of radius 3 um , what is the lenght of the fiber ?
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