elektromanyetik alan teorisi - fatih Üniversitesi Çözümlü sorular

8/10/2019 Elektromanyetik Alan Teorisi - Fatih niversitesi zml Sorular

1/48

M2.2. ( 2,5,2) K , (3, 3,6) G , vh ( 5, 3, =) V gnatb`br vhri`kitir. Bbmbai`hri euùg.

b) > KG U

(3 2) ( 3 5) (6 2) = 8 KG G K x y z x y z U r r b b b b b b

e) > KG KV U U ( 5 2) ( 3 5) ( = 2) 8 8

3 26 ? KV p K x y z x y z

KG KV x y z

U r r b b b b b b

U U b b b

c) > K r

5 5 5( 2) (5) (2) 5.=8 K r

m) > KV b

5 5 5

8 86.2= 6.< 6. V G r r

5 5 55 3 ( = 9) ( ? 9) ( : 6) 28.8? V G r r

M2.5. Eir vhatr b`bg S abrthzyhg annrmigbt`brmb y`h vhri`kitir

5 5 5

258Q( 2) ( 5) ( 2) [

( 2) ( 5) ( 2) x y z x y z

x y z

S b b b .

b) S yi (5,=,3) V mh jhsbp`byg.

5 5 5

258Q(5 2) (= 5) (3 2) [ 8.98 22.9 53.:

(5 2) (= 5) (3 2) x y z x y z

S b b b b b b

e) S ig Vmh ygg ehìrthg eirik vhatrg euùg.

5 5 5

8.98 22.9 53.:6.52: 6.=3? 6.:


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3/48

M2.8.

b) ( =.=, 228 , 5)C z gnatbsg abrthzyhg annrmigbt`brb hvirig.

cns =.=cns( 228 ) 2.:?

sig =.=sig( 228 ) 3.99 ( 2.:?, 3.99, 5)

5

x

y C x y z

z

e) ( 3.2, 5.?, 3) M x y z gnatbsgg siìgmiria annrmigbt`brg euùg.

5 5 5 5( 3.2) (5.?) =.68

5.?brctbg brctbg 2=6 ( =.68, 2=6 , 3)3.2

miaabt ht, eirik hkehrmh iaigci e`lhmh euùguynr 3

x y

y M z x

z

c) C mhg Myh n`bg khsbohyi euùg.2.5= ?.89 8 :.3?CM M C x y z U r r b b b

M2.?. Siìgmiria annrmigbt`brb mgtrg4

b) 26 : ? x y z O b b b (26, :, ?) V gnatbsgmb1

V gnatbsgmb4 :brctbg brctbg 3:. BE U

5 5 522 = ( 9) 2=.


7/48

M5.5. 6.3 C eir ya (58, 36,28) ck B mb vh 6.8 C iaigci eir ya ish

( 26,:,25) ck E mh shrehst uzbymb yhr`hiatir. H yi eu`ug.

b) Nridigmh

5 56 6= =

BN EN

EN B B E U U

BN EN

RR U U

H H H b b

Eurbmb

5 5 5

6.58 6.3 6.283.=28 =.69: 5.6=9

( 6.58) 6.3 ( 6.28) 6.6


8/48

M5.=. ehìrti`hg jbcik`hrmhai tnp`bk ya euùg.

b) 6.2 | |, | |, | | 6.5 x y z byht 3 3 32

x y z 1

Ehìrti`hg brbà bs`gmb46.2 , , 6.5 vh - 6.2 , , -6.5 x y z x y z

6.5 6.5 6.5 6.2 6.2 6.2

3 3 3 3 3 36.2 6.2 6.2 6.5 6.5 6.5

2 2v

vn`

R mv mx my mz mx my mz x y z x y z

x h lnrh igthlrbì 4

6.56.5

3 56.26.2

2 23


9/48

M5.8. Shrehst uzbymb mzlg sngsuz uzugùatb 8 C/kg ìa izlish` ya`hr (pnzitio vh ghlbtio)

x vh y hashgi enyugcbmr`br . H yi euùg 4

b) (6,6,=) B V

e) (6,3,=) E V

=

izlish` ya`hr sngsuz uzugùatb mr`br vh B V

gnatbs jhr iai izlish` ya iig rbmyb`khsbohmhmir. Eurbmb rbmyb` yg z -yggmhmir . Eugb lrh 4

6 6

9

96

5 5

8 265 =8 _/k

265=

3?

@y @x

x y

@ z z z

H b b

b b b

x

y

z

x

y

z

=

3

y- izlish` yagg abtas iig 49

96

8 2655.8 _/k

2655 =

3?

@y y z z

y

H b b b

_h x -izlish` yagg abtas iig4

65 @y

y y

H b , eurbmb 5 53 = 8 vh

3 =

8 y z

b bb

9

9

3 =8 2626.: 2=.=

26 85 8

3?

y z y y z

b b

H b b

]jhg tjh tntb` h`hctric wi`` eh

26.: 3?.9 x y y z H H H b b


10/48

M5.?. Shrehst uzbymb mzlg sngsuz tbebab ya`hri hai`mh yhr`hiatir4 53 C/kg = z

mh, 5? C/kg 2 z mh vh 5: C/kg = z mh.H yi bbmbai gnatb`brmb eu`ug.

]bebab`br z mz`hk`hrigmh yhr`hia n`mua`brgmbg vh enyut`br sngsuz n`muugmbg tbebab

ya`hrig gnrkb` vhatr ygg tbyig htkha iig sbmhch z pnzisyngugb ebakbkz lhrhaiynr

b) (5,8, 8) B V 1

9

96

26( 3 ? : ) 8?.8 _/k265

53?

S G z z z z

H b b b b b

e) (=,5, 3) B V 1

9

96

26(3 ? : ) 5:3 _/k

265 53?

S G z z z z

H b b b b b

c) ( 2, 8,5) B V 1

9

96

26(3 ? : ) 9?2 _/k

265 53?

S G z z z z

H b b b b b

m) ( 5,=,8) B V 1

9

96

26(3 ? : ) 8?.8 _/k

265 53?

S G z z z z

H b b b b b

x

y

z

-=

2

=

5? C/kg

53 C/kg

5: C/kg


11/48

M3.2. _hri`hg ?6 C gnatbsb` eir ya nridig mhmir. _hri`hg yzhy`hri thra hmhg tnp`bk h`hatriabay euùg.

b) 5? ckr , 6 / 5 vh 6 / 5 i`h sgr` arhgig pbrbsg thra hmhg1 Eu snruyu zkhgig eir ygthki bagg thra httii yzhy b`bg (jbcikmh n`beiìr) tnp`bkarhgig b`bggb nrbg`ybrba euùgbeiìr.

/5 /55 5

6 6

5

arhgig thrahmi`hg yzhy b`bg sig5

vh arhgig yzhy b`bg =

S mS r m m r

r

Abpb` eir b`bg thra hmhg tnp`bk ba eu b`bgg ihrisigmhai tnp`bk yah hit n`muug45

5

25


12/48

c) 5256 C/kSC ìa mzlg yzhysh` eir ya ynugùu 8k z mz`hkigmh ish1

56 eurbmb gnatbs gb mnrumur, ybmb ?6 C/k5

SC G G z V

M H b b M b

M3.3. Shrehst uzbymb h`hatria ba ynugùu 5 56.3 C/kr

r gM b i`h vhri`kitir 4

b) H yi ( 5, 58 , 96 )n n V r gnatbsgmb euùg1 5

6 6

6.3 5238.8 _/kr r

M

H b b

e) 3r n`bg arhgig ihrisigmhai tnp`bk ya euùg1

5

5 5 =

6 6

= = =

66

6.3 sig 6.3 sig

6.? sig 6.? ( cns ) 2.5 368 C

r r S S R m r r m m r m m

r m r r g

M S b b

c) =r arhsigi thra hmhg tnp`bk h`hatria basg euùg. zk e aagmbaiy`h byg, tha obra obra` eirr vbr.

= 52.5 2.5 (=) 9?8 CR r g

M3.=. , , 8 x y z i`h sgr` b`t mz`hkmhg nùbg ap thra hmhg tnp`bk h`hatria bay bbya mb`k`brgb lrh euùg.

b) ai gnatbsb` ya , 6.2 C (2,-5,3) mh vh 2< C (-2,5,-5) mh1

]np`bk ba apig ihrisigmhai tnp`bk yah hit n`bcbatr. Jhr iai ya th apg ihrisigmhn`muugmbg4

2 52

6.2 6.5=3 C

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