b.) v d =? Example 2 l = 50 m, D = 1.0 mm, E = 6 V, " = 1.72 #10 $8 % & m, and r = 0.5 % a.) R =? c.) V ab =? a.) R eq =?

Transcription

1 xmpl : An 8-gug oppr wr hs nomnl mtr o. mm. Ths wr rrs onstnt urrnt o.67 A to W lmp. Th nsty o r ltrons s 8.5 x 8 ltrons pr u mtr. Fn th mgntu o. th urrnt nsty. th rt vloty xmpl D. mm,.67 A, n N 8.5" 8 ltrons m 3. J?. v? J A "r.67 A ".5 $3 m J.4 " 6 Nv A A m A Nv J so v J N.4 " 6 A v m 8.5" 8 ltrons&.6 " 9 & $ $ ltron m 3 v.5" 4 m s xmpl : A 5 m long oppr wr.7 x -8 " m hs mtr o. mm n s onnt to 6 ttry wth n ntrnl rsstn o.5. Fn:. th rsstn o th wr.. th urrnt through th wr.. th trmnl voltg o th ttry. xmpl l 5 m, D. mm, 6, ".7 $8 & m, n r.5.?.? r 5 m "l A "l.7 " 8 $ m r &.5" 3 m. " r r r 6.5 ". " 3.75 A.? " r 6 " 3.75 A xmpl 3 4 A xmpl 3 For th rut shown ov:. Fn th quvlnt rsstn.. Th urrnt n voltg or h rsstor.. Th rngs on th mmtr n on th voltmtr.. Th voltgs n. 5. q? 3 4,5 4, ,5 " 3 " 4,5 4 " 36 " 3,4,5 $ 3 & 4,5 3,4,5 3,4,5 6 " & $ 4 " 4 " q q 3,4,5 q " 36 " 4 " q 8 " 6

2 xmpl 3 36 xmpl 3 4 4, 5 4, 5 4 ".6 A.5 A 4, 5 6 " 4 " 6 ".5 A.9 A 4, 5 6 " 4 " 3 8 xmpl ltrntvly urrnt Dvr : 4,5 4 " 3 4, , 5.9 A 7 4,5 4 " 4. s n s? A 6 " 36, 4, 5.5 A 4 ",4,5 4 " 8 ".5 A q 8 " q xmpl 3. s n s? 4 6 A. s n s? 36 sstor urrnt oltg " A.5 A 36 ".6 A 6 ".9 A 4 ".9 A 5 3 " rngs?. Mtr Ammtr rs urrnt.6 A oltmtr rs voltg " Usng pont s rrn "54 66 " 66 " 66 9 Usng pont s rrn " " 54 "54 " "9 " "9 " 3 " 36 "36 " "36 " 54 " ".? n? 5 3 xmpl xmpl 4 n th rut shown ov: 6, 3, 4 5 4, n.. Fn th quvlnt rsstn.. Th urrnt n voltg or h rsstor.. uppos 5 s vrl n n hv ny rsstn. Wht vlu wll rsult n no urrnt pssng through? Loop ul qutons 5 Junton ul qutons 4 4 t " t " 3 " t

3 xmpl 4 xmpl t " & & & "6 3 " "4 4 " 3 " 4 $ " " $ 5 $ 3 5 t " 3 " t " " $ 4 " "4 " " & & & " $ 5 $ " ".97 A $ $ $ $.6 A $ $.9 A $ $.34 A $ 3 $ $ 4 $.4 A $ $ 5 &.57 A & 3 4 xmpl 4 xmpl 4 Loop Mtho Loop Mtho 4 " " 4 3 " " "4 " " $ "4 " " Loop qutons 4 " " 4 3 $ " 6 " 4 " $ $ & & & &&6 " " " * && && 4 " " " 3 " " 3 "4 " " ".97 A $ $ $$ $$.9 A 3 &.57 A & & & & "4 " 4 5 $ 3 $ 5 6 xmpl 4. q? xmpl 4. s n s? " ".97 A $ $ $$ $$.9 A.57 A 3& &. 5? suh tht 3 q 4.4 ".97 A 4 5 urrnt ".6 A.9 A 3 " 3.34 A 4 " 3.4 A A oltg sstor 6 " 3 " " 4 4 " 5 4 " " 3 " " 4 4 " 5? " 4 " 6" 5 " 8

4 xmpl ? junton : xmpl 5 For th rut shown ov:. Fn th urrnt n h ttry.. Th mount o nrgy sspt n th rut n 5 mnuts.. Th voltgs n. roun loop : 5 roun loop : n " 3 5 " n " 3 " xmpl 5 xmpl 5 6.? n? " " 5 ".8 A.4 A " 3 " A ".6 A 3 " Usng pont s rrn 8 " 8 " 3.6 A Usng pont s rrn.4 A ".8 A 4 3 " 6, J 5 " 5 " 5 ".8 A 4 5 t 5.8 A.4 A 3 s.? n? 3.6 A 3.8 A.6 A. t 5 mn,? 3 " 3 3 ".8 A 3 Pt P P t " 3 " 3 3 " 3 " 5 5 " 3 5 " xmpl 6 3, 5 6 ", 4 4 " 5A ? n? 3 5 junton : urrnt vr, 4 4 " 5A, 5, 4 6 " 4 " 4 A 37, 5 6 " 5A, 5, 4 6 " 4 " roun loop : 4 5 A 5 " 3 A 3 " " A.? roun loop : 5 5 A 5 " A " 4 " 5 xmpl 6 For th rut shown ov:. Fn th urrnt through h rsstor.. Fn th m o th ttry. 5A

5 xmpl 7 n th rut shown ov n. th urrnt n th 3 rsstor. th unknown m s n. th rsstn 3 " 5A.? n? 3 3 A 4 " 8 A 3 " 36 5 A 6 " 8 A 3 " 54 " 54 "36 A 6 9" 8 A.? " xmpl 8 xmpl 8 A glvnomtr hs ol rsstn o 5 n ull sl urrnt o µa. how how to mk. urrnt junton : 3 A 5 A " 5 " n s µa. 5 ull sl voltmtr s s. 5 ma ull sl mmtr s. A voltmtr wth ull sl rng o 5. 5 ma sh sh ss s s " s 5 s 5 $ " 6 A 7 sh xmpl 9 An l ttry wth n m s onnt to rsstor wth rsstn n n ntlly unhrg ptor wth ptn µf. Th rut s omplt whn swth s los t tm t.. Fn th urrnt through n voltg ross h v mmtly tr th swth s los.. A long tm tr th swth s los, n th hrg on th ptor n th voltg ross th rsstor.. Wht s th hrg on th ptor tr. ms?. Fn th totl nrgy sspt n th rsstor. 9 " 6 A5 $ " s 5 " 3 A " 6 A 8 s sh. " sh sh s " s sh s s 499, 5 " sh 5 s. An mmtr wth ull sl rng o 5 ma. 6 " 3A 5 xmpl 9 5A 3A 4 " 6 " 3 " 4 " A xmpl 7 A, ", n µf. s n t Q n A ". n t " 6 Q " F A Q µ 3

6 xmpl 9 q Q " " " $6 F q Q " q 86.5 µ $ " q " t t $ " t " & " $ " t " t " t " t & " t t 3 3 xmpl, 4 ", 6 ",n 6 µf t $ ] " t " " t " & * t $ " " t " " " " " " -6 " F 5 mj " t P ". ms. ms q µ " ". ms "t & * t $. rom t to " P so " Pt t " t. t. ms. rom t to " " Pt " t xmpl 9, ", n µf Q µ Q t ", v? xmpl An l ttry wth n m, two rsstors wth rsstns 4 n 6, n n ntlly unhrg ptor wth ptn 6 µf. Th rut s omplt whn swth s los t tm t.. At tm t $, wht s th potntl rn ross th ptor?. At tm t $, wht r th potntl rns ross th two rsstors? Do thos potntl rns nrs, rs, or rmn th sm whl th ptor s ng 33 3A 4 " 3 A 4 " " v t " t v " v " xmpl, 4 ", 6 ",n 6 t ", v? n t " v.38 xmpl ontnu. A long tm tr th swth hs n los th swth s opn.. Wrt n quton or th hrg on th ptor tr th swth s opn. v Q n v " v " v v v " v v ".38. Wrt n quton or th voltg on h rsstor tr th swth s opn. v.6 v s lwys v s rsng 35 36

7 xmpl, 4 ", 6 ",n 6 µf.. q t? " 4 " 6 " 6-6 F " 6 µs. v t? n v t? "t t 4 " 6 ". A "t v t t "t v t t xmpl " t Q 6 " -6 F q t 7 µ " t 6 µs v t. A 4 " v t 4.8 t 6 µs " t 6 µs v t. A6 " v t 7. t 6 µs " t 6 µs xmpl, M",n µf, M",n µf Q n,3 ",3 $ & &,3 $ M" M",3.5 M" q q,3 q.5 M" M" 39 q q.5 ma M" q q M" q ma.333 ma.5 ma ma. grphs o voltg ross h rsstor or t to t ".667 " 3 A " 6 $ " 3 A " 6 $ 5 v ma 4 t ma.5 ma ma, M",n µf M",3,3.667 ma.5 M" xmpl 3, M".333 Q n. t n t ".5 M" q.667 ma q, M",n µf q.5 M" t n t t n t " Q n n th rut ov, µf, n M. Th ptor s ompltly unhrg whn swth s los.. Dtrmn th urrnt through h rsstor t t n t.. Drw grph o th potntl rn or h rsstor or t to t. Q 7 µ q t Q xmpl

8 xmpl, 3 M",n t ".667 ma.5 ma ma.5 ma ma 3. grphs o voltg ross h rsstor or t to t " " 6 $ 333 " 6 $ 5.333" 3 A.5 " 3 A v xmpl, 3 M",n t ".667 ma.5 ma ma.5 ma ma 3. grphs o voltg ross h rsstor or t to t " " 3 A " 6 $ " 6 v t 43 t 44