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fhyhz;Lj; NjHT nrg;lk;gH 2014

12k; tFg;G ,aw;gpay; tpilf;Fwpg;G

gFjp 1 kjpg;ngz;fs; 30 x 1 = 30

tpdh vz; tpil

tpdh vz; tpil

1 m) 16 M) miw R+Nlw;wp

2 m) 17 ,)

3 m) . 18 M) kpd;Njf;fp

4 M) =

my;yJ ,) =

,uz;LNk rupahd tpiljhd;. 19 m) gpd;jq;fp

5

www.Padasalai.Net

gFjp

%d;W kjpg;ngz; tpdhf;fs;

tpdh vz;

tpilf;Fwpg;G kjpg;ngz; gfpHT

31

$Yk; tpjp: rhpahd $w;W ( njhiytpd; ,Ukb vd;w thHj;ij ,y;iynadpy; 1 kjpg;ngz; Fiwf;fTk;)

my;yJ F =1

40

q1q2

r2 kl;Lk; Fwpg;gpl;bUe;jhy;

3 1

32 xsptl;l kpd;dpwf;fk;;: rhpahd tpil 3

33

Xk; tpjp: rhpahd $w;W ( khwh ntg;gepiyapy;> rPuhd kpd;Ndhl;lk; vd;w thHj;ijfs; ,y;iynadpy; 1 kjpg;ngz; Fiwf;fTk;) my;yJ V = IR my;yJ IV kl;Lk; Fwpg;gpl;bUe;jhy;

3 1

34 ngaHT ntg;gepiyapy; Vw;gLk; khWghLfs; : 3 x 1

35

gOg;G - 1> fUg;G - 0> MuQ;R - 3: 10000 > 10K rptg;G 2> rptg;G 2> MuQ;R 3: 22000 > 22K kQ;rs; - 4> Cjh 7> MuQ;R 3: 47000 > 47K

1 1 1

36 fpHr;rh/gpd; Kjy; tpjp: rhpahdf; $w;W Fwpapay; vd;w thHj;ij ,y;iynadpy; 1 kjpg;ngz; Fiwf;fTk;.

3

37

kpd;dpaf;F tpir kw;Wk; kpd;dOj;j NtWghL 1. jpwe;j kpd;Rw;wpy;> xU kpd;fydpy; ,U

KidfSf;F ,ilg;gl;l kpd;dOj;jq;fspd; NtWghL kpd;dpaf;Ftpir vdg;gLk;. %ba kpd;Rw;wpy; VNjDk; ,U Gs;spfspd; kpd;dOj;jq;fspd; NtWghL> kpd;dOj;j NtWghL vdg;gLk;.

2. kpd;dpaf;F tpir kpd;Rw;wpy; ,izf;fg;gl;Ls;s kpd;jiliar; rhHe;jJ my;y. Mdhy; kpd;dOj;j NtWghlhdJ> ,U Gs;spfSf;F ,ilg;gl;l kpd;jilf;F NeHj;jftpy; mikAk;.

2 1

38

,t;tpdhtpy; 6.25 x1018 vd;gJ jtwhf 6.25 x108 vd mr;rplg;gl;Ls;sJ. Gj;jfj;jpy; cs;s jfty; gb khztHfs; tpilaspj;jpUe;jhNyh my;yJ tpdhj;jhspy; Nfl;fg;gl;lj; jftiy itj;J khztHfs; tpilaspj;jpUe;jhNyh kjpg;ngz; toq;fyhk;.

I =ne

t

gpujpaply;

I = 1A

1 1 1

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39 ngy;baH Fzfk;: rhpahd tiuaiw: 3

40

Kid tpjp: xU KidapypUe;J Nehf;Fk; nghJ> thpr;RUs; topNa ghAk; kpd;Ndhl;lk; tyQ;Ropahf mike;jhy; mUNf cs;s Kid njd;Kid> Nra;ikapy; cs;s Kid tlKidahFk;. xU KidapypUe;J Nehf;Fk; nghJ> thpr;RUs; topNa ghAk; kpd;Ndhl;lk; ,lQ;Ropahf mike;jhy; mUNf cs;s Kid tlKid> Nra;ikapy; cs;s Kid njd;KidahFk;.

11/2

11/2

41

P = VI my;yJ I =P

V

gpujpaply; I = 0.454A kw;Wk; R =V

I tiu

R = 484

1 1 1

42

J}z;lg;gl;l kpd;dpaf;F tpiria cUthf;Fk; %d;W Kiwfs;: 1. fhe;jj;J}z;liy khw;Wtjd; %yk; 2. RUs; cs;slf;fpa gug;gpid khw;Wtjd; %yk; 3. fhe;jg;Gyj;jijg; nghWj;J RUspd; jpir mikg;ig khw;Wtjd; %yk;

3 x 1

43 Roy; kpd;Ndhl;l gad;ghL mbg;gilapy; J}z;ly; ciy: rhpahd tpsf;fk;

3

44

e = 311 sin( 314t) vd;w kjpg;Gila kpd;Rw;wpy; khWjpir kpd;Ndhl;lj;jpd; mjpHntz;: e = I0 sin( t) Nkw;fhz; rkd;ghl;Lld; xg;gpl = 314 , = 2

=

2=

314

2 x3.14 tiu

= 50 Hz

1 1 1

45

epA+l;ld; tisa Nrhjidapy;> ika tisak; fUikahfj; Njhd;wf; fhuzk; - rhpahd tpsf;fk; mlHkpF fz;zhbapy; vjpnuhspf;fg;gl;l miyahdJ fl;l NtWghL milfpwJ vd;w thHj;ij ,y;iynadpy; 1 kjpg;ngz; Fiwf;fTk;.

3

46 bz;lhy; rpjwy; - rhpahd $w;W 3

47 sin = my;yJ =

sin

gpujpaply; = 3

1 1 1

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48 Nyrhpd; rpwg;gpay;Gfs; - %d;W rpwg;gpay;Gfs; 3 x 1

49

=

+1

= 3 vdpy; = 0,1,2

=

0 + 1

1, =

3

=

1 + 1

1, =

2

3

=

2+1

1, = tiu

= 0,1,2 f;fhdj; Jizf;$Lfs; 3, 3, 3 vdg;gLk;. ,jpy; 3, 3 ,uz;Lk; ePs;tl;lg;ghijahFk;.

1/2 2

50

gz;Gfs; Nfj;NjhLf;fjpHfs; Giof;fjpHfs; jpirNtfk; xspapd;

jpirNtfj;jpy; (1/10) gq;F jpirNtfj;jpy; ,aq;Fk;

Nfj;NjhLf;fjpHfis tplf; Fiwe;j jpirNtfj;jpy; ,aq;Fk;.

kpd; kw;Wk; fhe;jg;Gy khWghL

tpyf;fg;gLk; tpyf;fg;gLk;.

2 1

gFjp

Ie;J kjpg;ngz; tpdhf;fs;:

tpdh vz;

tpilf;Fwpg;G kjpg;ngz; gfpHT

glk;

51 kpd;tpirf; NfhLfspd; gz;Gfs; (5) 5 x 1

52 1

Cs=

1

C1+

1

C2

Cs =10

3F

Cp = Cs + C3

Cp = 10

3+ 4 =

22

3F

Cp = 7.33F

1 1 1 1 1

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53 ,Og;Gj;jpirNtfk; kpd;Ndhl;lk; - ,Og;Gj; jpirNtfj;jpw;Fk; cs;sj; njhlHG tpsf;fk; kw;Wk; glk; fl;Lwh vyf;l;uhd;fspd; vz;zpf;if = =

=

=

=

tiu

=

=

= tiu

2 1 1 1

54 gf;f ,izg;gpy; njhFgad; kpd;jil: tpsf;fk; glk; I = I1 + I2 + I3

I1 =V

R1, I2 =

V

R2, I3 =

V

R3

I =V

Rp tiu

V

Rp=

V

R1+

V

R2+

V

R3

1

Rp=

1

R1+

1

R2+

1

R3

gf;f ,izg;gpy;> jdpj;jdp kpd;jilahf;fpfspd; kpd;jilapd; jiyfPopfspd; $Ljy;> bjhFgad; kpd;jilapd; jiyfPHpf;Fr; rkk;.

1/2 1 1 1/2 1 1

www.Padasalai.Net

55 kPl;lH rkdr;Rw;W: tpsf;fk; glk; P

Q=

R

S=

rAJ

rJC

P

Q=

1

2

P = Q1

2

1 2 1 1 1

56 fhy;tdhkPl;liu Nthy;l; kPl;luhf khw;Wjy;: tpsf;fk; glk;

Ig =V

R + G

R =V

Ig tiu

Rv = G + R

rpwe;j Nthy;l; kPl;lhpd; kpd;jil

www.Padasalai.Net

59 kpd;fhe;j miyfspd; rpwg;gpay;Gfs; - 5 rpwg;gpay;Gfs;

5x 1

60 G&];lH tpjp: tpsf;fk; glk; + 90 + = 180

= 90

sin

sin = tiu

sin

sin 90 =

sin

cos =

tan = tiu jstpisTf; Nfhzj;jpdNlQ;rd;l; kjpg;G vz;zstpy; me;j Clfj;jpd; xsptpyfy; vz;zpw;Fr; rkk;.

1 1 1 1 1

61 Nghyuha;Lfspd; gad;fs; 5 5x 1

62 gh\d; thpirapy;> Kjy; thpapd; miyePsk;:

1 = 3,2 = 4

=1

1=

1

12

1

22

=1

1=

1

9

1

16 =

7

144

1 =144

7R=

144

7x

1

1.094 x107 tiu

1 = 18752

1

2

1 1

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thpirapd; vy;iy:

1 = 3,2 =

=1

=

1

12

1

2 =

32

=1

=

9

=9

=

9

1.094 x107= 8204

(my;yJ) iykd; thpirapd; Fiwe;j miyePsj;jpw;F 1 = 1,2 =

=1

=

1

12

1

2 =

=1

=

1

1.094 x107= 911.6

ngUk miyePsj;jpw;F

1 = 1,2 = 2

=1

=

1

12

1

22 =

3

4

=4

3=

4

3911.6

= 1215

1

2

1 1 1

2

1 1 1

2

1 1

gFjp - IV

gj;J kjpg;ngz; tpdh tpilfs;:

tpdh vz;

tpilf;Fwpg;G kjpg;ngz; gfpHT

glk;

www.Padasalai.Net

63 kpd;,UKidahy; Vw;gLk; kpd;dOj;jk; tpsf;fk; glk;

V1 =1

4

r1

V2 =1

4

r2

V =

4

1

r1

1

r2 till

1r1

fzf;fPL kw;Wk;

1r1

= 1r 1 +dr cos

1r2

fzf;fPL kw;Wk;

1r2

= 1r 1dr cos

=2

4

cos

2

=

4

cos

2 ( p = 2d )

=1

4

cos

2 tiu

rpwg;G NeHTfs;:

1. = 0 , cos 0 = 1 , = 42

2. = 180 , cos 18 0 = 1, =

42

3. = 90 , cos 9 0 = 0, = 0

1 2 1 1 1 1 1 1 1

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64 fh]; tpjp rhpahd $w;W Nfhstbtf; $l;bw;F ntspNa cs;s Gs;spapy; kpd;Gyk; - tpsf;fk; glk;

= E .

ds

= (42)

. (42) =q

till

E = 1

4

q

r2

,e;j kpd;Gyk; Nfhstbtf; $l;bd; ikaj;jpy; nkhj;j kpd;GyKk; mike;jhy; Vw;gLj;Jk; kpd;Gyj;jpw;Fr; rkk;. gug;gpd; kPJ cs;s Gs;spapy;:

=

( = )

cl;Gwj;jpy; cs;s Gs;spapy;: glk;

= (42) q = 0

= q

E = 0 till

2 1 1 1 1 1 1 1 1

65 [{y; tpjp: glk; fNyhhpkhdpf;fhd tpsf;fk; kpd;Ndhl;lj;jpw;fhd tpjp tpsf;fk; kpd;jil tpjp tpsf;fk; fhyj;jpw;fhd tpjp tpsf;fk;

2 2 2 2 2

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66 fhe;jg; Gyj;jpd; jpiriag;nghWj;J fk;gpr;RUspd; jpiraikg;ig khw;Wtjd; %yk; kpd;dpaf;F tpiria cUthf;Fjy;: glk; tpsf;fk; = NBA cos ( = t)

=

=

(NBA cost)

= NBA sint

= Eo sint

Eo = NBA RUspd;

jpiraikg;g[

RUspd; jsk;

fhe;jg;g[yj;jpw;F

J]z;lg;gl;l

kpd;dpaf;F

tpir

0

90

180

270

360

brA;Fj;jhf

nizahf

brA;Fj;jhf

nizahf

brA;Fj;jhf

0

Eo 0

Eo 0

,t;thW tpilaspj;jpUe;jhNyh my;yJ Gj;jfj;jpy; cs;sthW tpilasp;j;jpUe;jhNyh kjpg;ngz; toq;fyhk;.

2 1 1 1 1 2

67 kpd;Njf;fp kl;LNk cila kpd;Rw;W %d;W glq;fs; tpsf;fk;

= Eo sint

=

, =

=

i = Io sin(t +

2)

Io =E

1

3 1 1 1 1

www.Padasalai.Net

kpd;Bjf;fp kl;Lk; cs;s xU Rww;wpy;

kpd;Bdhl;lk; kpd;dGj;jj;ij tpl fl;l

mst[ Ke;jp nUf;Fk;.

kpd;Bjf;fpapd; kpd;kWg;g[ =1

=

1

2

Beh;jpir kpd;Bdhl;lj;jpw;F =

1 1 1

68 miyf;nfhs;ifapd; gb KO mf vjpnuhspg;G: tpsf;fk;

sin

sin =

%d;W glq;fs; kw;Wk; mjw;fhd tpsf;fk; KO mf vjpnuhspg;G Vw;gl ,uz;L epge;jidfs;

1 1 32 = 6 2

www.Padasalai.Net

69 Nghh; nfhs;ifapd; mbg;gilapy; n - tJ tl;lg;ghijapd; Muj;jpw;fhd Nfhit:

F1 =1

40 ()

2

F2 = mrnn

2

1

40 2

2 =

2

-

1

40 2

2 = mrnn

2

n2 =

2

40 3

= rn = mrn

2n -

=

2

n =

2mrn 2

n2 =

22

422 4

2

40 3=

22

422 4

rn =220

2

Rw;Wg;ghijfspd; Muq;fspd; tpfpjk; 1 : 4 : 9

Z = 1

rn =2202

1 = 0.53

1 1 1 1 1

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70 kpy;ypfd; vz;nza;j;Jsp Ma;T: jj;Jtk; glk; Ma;tpw;fhd mikg;G kw;Wk; fUj;jpay; tpsf;fk; GtpaPHg;G tpirahy; ,af;fj;jpw;fhd tpsf;fk; rkd;ghLfSld; kpd;Gy;j;jhy; ,af;fj;jpw;fhd tpsf;fk; rkd;ghLfSld; kw;Wk; vyf;l;uhdpd; kpd;D}l;l kjpg;G tiu

2 2 2 2 2

jahhpg;G:

g.,isahuh[h vk;.v];]p.>gp.vl;.> KJfiy MrphpaH (,aw;gpay;) muR Nky;epiyg;gs;sp> jk;gpf;Nfhl;il tlfhL> gl;Lf;Nfhl;il tl;lk; jQ;rhT+H khtl;lk;. miyNgrp: 9626535583