fhyhz;lj; njht nrg;lk;gh 2014 · 39 ngy;bah fzfk;: rhpahd tiuaiw: 3 40 kid tpjp: xu kidapypue;j...
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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
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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
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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
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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;
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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
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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
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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
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