Question

3.b. You have three identical ohmic resistors, and all of the following statements are true: – Each resistor is a (right) cylinder of material with a mass of 0.0559 g. And each resistor just fits into its own individual rectangular packaging box, which has inner dimensions of 1.00 x 1.00 x 31.416 (lengths in mm). – If the three resistors are connected to a certain constant-voltage ideal battery (i.e. it has no internal resistance) so that the minimum possible total current is flowing, the power produced by one of the resistors is 28.35 W. – If the three resistors are connected in a different configuration to that same constant-voltage battery, the total current from the battery is 20.25 A, but only two of the resistors carry the same current, which is 6.75 A. Estimate the mean time between collisions for electrons flowing in these resistors. You may assume that these resistors are all made from one of the materials listed in table 27.2 on page 753.

Table 27.2 Resistivity and conductivity of conducting materials Resistivity Gold Conductivity Carbon 1.0 x 10 (n-m ) Material 1.7 X 10-8 2.8 X 108 Silver 6.7 X 105 Iron 1.8 X 107 2.4 X 108 Tungsten 9.7 x 10-8 2.9 X 10 6.0 X 10 (m) 1.6X 108 3.5 x 10 5.6X 108 Nichrome* 6.2X 107 1.5 X 10 Copper 3.5X 10 4.1 X 10

Answer 1

Amswer Guen the Jeaialey dimenaon Area, A= TT 31.416mm=L 4- mmdiameter Length, 31:4-16 mm. the eantor e R. And E ib Hha resintanc vattage en tha Cannectasi: Auol Fasiatons Case-1 Aee the munamu hat Sexies Cembnation hnce t must be becaua = IR :) 1 = V Vio Constant R I iu mumumum won, R is mdrimum. R u maximum series combinaun R In aories Combination Cuvu Aame RR+R = 3R Reg -1 E 3R Currot giuen pouen gvenats4 Ay a naater P = 28.35W. and P = R P - R gR

Case- Too neaiatos cavias -le same cuvnt, thou thess Aeries amd tha anottan ene Panalal ucth ho nO E R. avero Hhe twa reantoys uihot houe same 6.75 A Currant 2R ii ZR(6.75 Fram onnd R = (2R) 9 x 28.35 W R R = (SL.9 R 1.4 RA L. Resiakivity 1-4 (mm) .. 4- 31.416 mm (1.a)T) m 4X 3 ,416 X1 3.499xlo 3. 5 Xlo5 It carbon

Nou for Collision time electron in caybon uwith known f io m: mass of elechon chavge of eleehon m: mumber of en f elechron pe unik Uolume mass of Carbon cfidar NAX - mass of one mele Caybon Volume of cytinder (NA O. OSS3 vam 1 X (m (31.416 mm) 2. qram TC 1 3 O.OS59 mn TCX 31.416 2.. 84 x1o-4xioM Carbon atom per unk uolume. 2. a 4Xloo three elechovd dhan enty eluctron i Canbon ree to Abendliny amd talos placr moe. hannce n 2.89xldm 9.LXIO 3(3.5x155) (e-ixz)_(691x9) 35.7becond