2nd-chapter-5-electromagnetic-induction-alternating-current

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Aa¨vq-5: ZvwoZ‡PŠ¤K^ Av‡ek I cwieZx© cÖevn

ckÖ œ1 GKwU w`K cwieZ©x ceÖ v‡ni mgxKiY, I = 200sin mZy ivs, w`K cwieZ©x cÖev‡ni K¤úv¼ 50Hz Ges kxl©gvb 200A
(100t) Øviv cÖKvk Kiv nq|[wK‡kviMÄ miKvwi gwnjv K‡jR, (Ans.)
wK‡kviMÄ] N †`Iqv Av‡Q,

K. †Umjv Kv‡K e‡j? 1 w`K cwieZ©x cÖev‡ni mgxKiY,

L. XvKvq webwZ †KvY 31N ej‡Z Kx eSy ? 2 I = 200sin (100t) ............... (i)
ÔMÕ n‡Z cvB,
M. GB mgxKiY n‡Z K¤úv¼, cÖev‡ni kxl© gvb wbY©q Ki| 3
w`K cwieZ©x cÖev‡ni kxl©gvb, I0 = 200A
N. GB mgxKiY n‡Z cÖvß Mo I Kvh©Ki Zwor cÖev‡ni gv‡bi

Zjz bv Ki| 4

1 bs cÖ‡kœi DËi awi, w`K cwieZ©x cÖev‡ni Mogvb I Ges Kvh©Ki gvb Ieff.

K †h †PŠ¤^K †ÿ‡Î 1 Kzj¤^ Avavb †ÿ‡Îi w`‡Ki mv‡_ mg‡Kv‡Y Avgiv Rvwb, Mogvb, I = 0.637  Io
1ms1 †e‡M MwZkxj n‡j 1N ej jvf K‡i †mB †PŠ¤^K‡ÿ‡Îi = 0.637  200
gvb‡K 1 †Umjv e‡j|

L XvKvi webwZ +31N ej‡Z †evSvq XvKvq fvi‡K›`ª n‡Z = 127.4 A
gy³fv‡e Sjz v‡bv GKwU P¤z ^K kjvKvi Aÿ w¯’i Ae¯’vq Abyf‚wgK Avevi, Kvh©Ki gvb, Ieff = Irms

Z‡ji mv‡_ 31 †Kv‡Y AvbZ _vK‡e Ges kjvKvwUi DËi †giæ Avgiv Rvwb, eM©g~jxq Mo gvb, Irms = 0.707  I0
wb‡Pi w`‡K Szu‡K _vK‡e|

M †`Iqv Av‡Q, = 0.707  200

w`K cwieZ©x cÖev‡ni mgxKiY, I = 200 sin (100t) ... = 141.4 A
(i)
Avgiv Rvwb,  Ieff = 141.4A

I = I0 sin t .............. (ii) GLb, Ieff = 141.4
I 127.4

awi, w`K cwieZ©x cÖev‡ni K¤úv¼ , kxl©gvb I0 = 1.11

GLb, (i) bs Ges (ii) bs mgxKiY Zjz bv K‡i cvB,  Ieff = 1.11  I
I0 = 200A
myZivs cÖ`Ë cwieZ©x cÖev‡ni mgxKiY †_‡K †`Lv hv‡”Q †h, Kvh©Ki
Avevi, ZworceÖ v‡ni gvb cÖvß Mo gv‡bi 1.11 ¸Y †ewk|

 = 100 ckÖ œ2 AC Zwor I = 5 sin (100t) †Kvb KÛz jxi ga¨w`‡q
2 = 100
  = 50Hz ceÖ vwnZ n‡”Q| [cUzqvLvjx miKvwi gwnjv K‡jR]

K. caÖ vb †dvKvm Kx? 1

Aa¨vq-5: ZvwoZ‡PŠ¤K^ Av‡ek I cwieZx© cÖevn

L. jvj I bxj e‡Y©i Rb¨ GKB c`v‡_©i Dcv`v‡bi  Pav = 125 Watt (Ans.)
N †`Iqv Av‡Q,
cwÖ Zmiv‡¼i cwieZ©b nq †Kb? e¨vL¨v Ki| 2
¯^Kxq Av‡ek ¸Yv¼, L = 0.4H
M. DÏxc‡K KzÛjxwUi †iva 10 n‡j GKK mgq Drcbœ

Zvckw³ wbY©q Ki| 3

N. KÛz jxwUi ¯^Kxq Av‡ek ¸Yv¼ 0.4H n‡j, 2sec G Avweó Zwor cÖevn, I = 5sin 100t
mgq, t = 2sec
Zwor PvjK kw³ KZ n‡e wbY©q Ki| 4

2 b¤^i cÖ‡kœi DËi †ei Ki‡Z n‡e Avweó Zwo”PvjK kw³, E = ?

K †Kvb †Mvjxq `c©‡b AvcwZZ cÖavb A‡ÿi wbKUeZ©x mgvšiÍ vj GLb,
iwk¥¸”Q cÖwZdj‡bi ci cÖavb A‡ÿi Dci †h we›`‡y Z wgwjZ nq
(AeZj `c©‡Y) ev †h we›`y †_‡K AcmZ„ nq e‡j g‡b nq (DËj I = 5sin (100t)
`c©‡Y) Zv‡K H `c©‡Yi cÖavb †dvKvm e‡j|
ev, dI = 5cos (100t)100
L gva¨‡gi cÖwZmiYv¼ Av‡jvi Zi½ ˆ`‡N©¨i Ici wbf©ikxj| dt
Zi½ ˆ`‡N©¨i gvb †ewk n‡j cÖwZmiv‡¼i gvb K‡g hvq| Avevi Zi½
ˆ`‡N©¨i gvb K‡g †M‡j cÖwZmiv‡¼i gvb †e‡o hvq| ZvB jvj ev, dI = 500 cos (100t)
Av‡jvi Zi½ ˆ`N©¨ †ewk nIqvq GB Av‡jvi Rb¨ gva¨‡gi cÖwZmiv¼ dt
Kg n‡e| Ab¨w`‡K bxj Av‡jvi Zi½ ˆ`N©¨ Kg nIqvq bxj Av‡jvi
Rb¨ gva¨‡gi cÖwZmiv¼ †ewk n‡e| GLb,

M †`Iqv Av‡Q, t = 2sec G,

KzÛjxi ga¨w`‡q w`K cwieZ©x ceÖ vn, I = dI
5sin100t dt = 500  cos(100    2)

Ges †iva, R = 10 dI
 dt =  46.05

 kxl©gvb, Io = 5A GLb,
awi, Kvh©Ki cÖevn gvÎv = Ieff Avweó ZworPvjK kw³,
†ei Ki‡Z n‡e, kw³ÿq, Pav = ? dI
E =  L dt

GLb, Avgiv Rvwb, Kvh©Ki cÖevngvb, Ieff = Io ev, E =  0.4  ( 46.05)
2  E = 18.42 V
Avweó Zwo”PvjK kw³i gvb 18.42V n‡e|
DËvcRwbZ Zvckw³,

Pav = (Ieff)2R

ev, Pav =  Io22  R ckÖ œ3 wb‡Pi wP‡Î GKwU w`K cwieZ©x cÖev‡ni mgxKiY I = 10
ev, Pav =  522  10 sin t cwieZ©x cÖevn

Aa¨vq-5: ZvwoZ‡PŠ¤K^ Av‡ek I cwieZx© cÖevn

Irms = Io
2
+ I0
3T ev, Irms = 40
iT 2 2
2
t

 Irms = 28.28 A (Ans.)

 I0 3T N †`Iqv Av‡Q,
4

[Ck¦i`x miKvwi K‡jR, cvebv] 3T
t = 4 Ges kxl©gvb, I0 = 40 A

K. nj wµqv wK? 1 2
T
Rvbv Av‡Q,  =

L. †Kvb Zvi KzÛjxi ¯^Kxq Av‡ek ¸Yv¼ 1 †nbix ej‡Z wK

eySvq? 2 GLb, w`K cwieZ©x cÖev‡ni mgxKiY,

M. DÏxc‡Ki Av‡jv‡K w`K cieZ©x ceÖ v‡ni eM©g~jxq Mogvb I = 40 sin t

wbY©q Ki| 3

N. DÏxc‡K hLb t = 3T ZLb w`K cwieZ©x ceÖ v‡ni gvb Gi ev, 2 3T
4 I = 40 sin T  4

kxl©gv‡bi mgvb wKbv MvwYwZK we‡klø Ymn hwy ³ `vI| 4 ev, I = 40 sin 24 3

3 b¤^i cÖ‡kœi DËi

K †Kvb cvZ AvK…wZi Zworevnx cwievnx‡K †PŠ¤^K †ÿ‡Îi mv‡_  I =  40 A
j¤^fv‡e ¯’vcb Kiv n‡j ZworceÖ vn I †PŠ¤^K †ÿÎ Df‡qi mv‡_ j¤^
eivei `By wecixZ c„‡ô GKwU wefe cv_©K¨ mw„ ó nq| G NUbv‡K Dc‡iv³ MvwYwZK we‡klø ‡Yi gva¨‡g †`Lv hvq t = 3T mg‡q w`K
nj wµqv e‡j| 4

L Avgiv Rvwb, †Kv‡bv eZ©bx‡Z GKK nv‡i cÖevngvÎvi cwieZ©b cwieZ©x cÖev‡ni gvb 40 hv kxl©gvb Gi mgvb| mZy ivs cwieZ©x
n‡j eZ©bx‡Z †h Zwo”PvjK ej Avweó n‡e Zv msL¨vMZfv‡e H
eZ©bxi ¯^v‡ek ¸Yv‡¼i mgvb| ¯^v‡ek ¸Yv‡¼i Gm.AvB. GKK n‡jv ceÖ v‡ni gvb kxl©gv‡bi mgvb n‡e|
†nbwi| myZivs †Kv‡bv KÛz jx‡Z cÖwZ †m‡K‡Ð 1 amp nv‡i
ceÖ vngvÎvi cwieZ©b n‡j hw` 1 volt Zwo”PvjK ej Avweó nq ckÖ œ4 GKwU G.wm. ceÖ v‡ni c_ †`Lvb n‡jv| GwU I = 40 sin
Zvn‡j H KÛz jxi ¯^v‡ek ¸Yv¼‡K 1 †nbwi e‡j|
563t cÖev‡n Pj‡Q| [weqvg g‡Wj ¯‹jz I K‡jR, iscyi]

M †`Iqv Av‡Q,

cwieZ©x cÖev‡ni mgxKiY, I = 40 sint

mZy ivs, cwieZ©x cÖev‡ni kxl©gvb, Io = 40 A K. †nbwi Kv‡K e‡j? 1
†ei Ki‡Z n‡e,

w`K cwieZ©x cÖev‡ni eM©g~jxq Mogvb, Irms = ? L. d¨viv‡Wi mÎ~ weeZ„ Ki| 2
Avgiv Rvwb, M. ceÖ v‡ni ch©vqKvj KZ? 3

Aa¨vq-5: ZvwoZ‡PŠ¤K^ Av‡ek I cwieZx© cÖevn

N. ceÖ v‡ni kxl©gvb gj~ ceÖ v‡ni mv‡_ wKfv‡e cwiewZ©Z nq? sint = 1

MvwYwZK e¨vL¨v `vI| 4

4 b¤^i cÖ‡kœi DËi ev, t = (2n + 
1)2

K †Kv‡bv KzÛjx‡Z 1 As1 nv‡i ZworceÖ vngvÎvi cwieZ©b Ki‡j ev, t = (2n + 1) 
hw` 1V Zwo”PvjK ej Avweó nq, Zvn‡j H KÛz jxi ¯^Kxq Av‡ek 2
¸Yv¼‡K GK †nbix e‡j|

L cÖ_g mÎ~ : †Kv‡bv e× KzÛjx‡Z Ave× †PŠ¤^K Av‡ek †iLvi ev, t = (2n + 1) .T
msL¨v ev †PŠ¤^K d¬v‡·i cwieZ©b n‡j KÛz jx‡Z Zwo”PvjK kw³ 2.2
Avweó nq Ges hZÿY G cwieZ©b ¯’vqx nq, KÛz jx‡Z Avweó
Zwo”PvjK ej ev Avweó Zwor cÖevnI ZZÿY ¯’vqx nq| ev, t = (2n + T
1)4

wØZxq mÎ~ : †Kv‡bv KÛz jx‡Z Avweó Zwo”PvjK ej, mg‡qi mv‡_ H ev, t = (2n + 0.0112
KzÛjxi ga¨ w`‡q AwZµvšÍ †PŠ¤^K d¬v‡·i cwieZ©‡bi nv‡ii 1) 4
mgvbycvwZK|
 t = (2n + 1)  0.0028sec.
GK cv‡Ki †Kv‡bv e× KzÐjxi ga¨ w`‡q AwZµvšÍ †PŠ¤^K d¬v‡·i
cwieZ©b dt mg‡q dB n‡j d¨viv‡Wi wØZxq mÎ~ vbymv‡i KÛz jx‡Z A_©vr D³ MvwYwZK we‡klø Y Abmy v‡i, Io, I Gi mv‡_ 0.0028 sec
H mg‡qi Avweó Zwo”PvjK ej- Gi we‡Rvo ¸wYZK cwigvY mgq cwieZ©‡bi mv‡c‡ÿ cwiewZ©Z
n‡e|

   dB
dt

M †`Iqv Av‡Q, ckÖ œ5 wP‡Î GKwU UªvÝdigv‡i cvÖ Bgvix ch©vqe„Ë ZworceÖ vn
†`Lv‡bv n‡jv : [†MŠY KzÛjxi †iva 8.75]
I = 40sin563t
I Io = 2A
G‡K I = Io sin t Gi mv‡_ Zjz bv K‡i cvB, 

t = 563t

 t

ev, 2t
T = 563t

ev, 2  3.1416
T = 563

 T = 0.0112s [†fovgviv K‡jR, Kwz óqv]
1
(Ans.) K. nj wµqv Kx?
N Rvbv Av‡Q,
L. DC 220V A‡cÿv AC 220V †ewk wec¾bK †Kb? 2

w`K cwieZ©x cÖevn, I = Io sin t M. wPÎvbhy vqx 7.5T ZworceÖ v‡ni gvb KZ? 3
kxl©gvb Io I gj~ cÖevn I, mgvb n‡j, 4
A_©vr I = Io n‡j,
N. UªvÝdigviwUi †MŠY KÛz jx‡Z 140W ÿgZv †c‡Z wK
e¨e¯’v MÖnY Ki‡Z n‡e? MvwYwZKfv‡e we‡kølY Ki| 4

Aa¨vq-5: ZvwoZ‡PŠ¤K^ Av‡ek I cwieZx© cÖevn

5 b¤^i cÖ‡kœi DËi †MŠYKÛz jxi ZwocÖevn, Is n‡j, Avgiv Rvwb,

K †Kvb cvZ AvK…wZi Zworevnx cwievnx‡K †PŠ¤^K †ÿ‡Îi mv‡_ ÿgZv, P = I2sR
j¤^fv‡e ¯’vcb Kiv n‡j ZworceÖ vn I †PŠ¤^K †ÿÎ Df‡qi mv‡_ j¤^ P
eivei `By wecixZ c‡„ ô GKwU wefe cv_©K¨ m„wó nq| G NUbv‡K
nj wµqv e‡j| ev, Is = R

L GKB gv‡bi DC †fv‡ëR A‡cÿv AC †fv‡ëR †ewk 140
wec¾bK| †hgb, 220V wWwm †fv‡ë‡Ri kK gv‡b n‡jv, kK ev, Is = 8.75
LvIqvi mgqKv‡j me©`v 220V gv‡bi †fv‡ë‡Ri kK LvIqv| G‡Z  Is = 4 A
†`‡n ÿqÿwZi AvksKv i‡q‡Q| Z‡e GKB mgqKvj a‡i 220V GLb, awi gL~ ¨KÛz jxi cvKmsL¨v = np
Gwm †fv‡ë‡Ri kK †L‡j †`‡n ÿqÿwZi cwigvY †ewk n‡e| KviY
†MŠYKÛz jxi cvKmsL¨v = ns
220V Gwm gv‡b wbw`©ó ÿz`ª mgq AšiÍ AšÍi m‡e©v”P 220V  2 Avgiv Rvwb,
= 311V gv‡bi †fv‡ëR| Gwm †fv‡ë‡Ri †ÿ‡Î R.M.S ev
Kvh©Ki gvb 220V n‡j kxl©gvb n‡e 311V. G Kvi‡Y DC 220
V A‡cÿv AC 220 V †ewk wec¾bK|

M †`Iqv Av‡Q, Ip = ns
Is np

cwieZ©x cÖev‡ni kxl©gvb, Io = 2A

7.5 ev, 2 = ns
4 4 np
mgq, t = T

7.5 ev, ns = 1
4T np 2
†ei Ki‡Z n‡e, mg‡q, ZworcÖev‡ni gvb, I = ?

Avgiv Rvwb, ev, np = 2
ns 1

I = Io sin t  np : ns = 2 :1
2
Dc‡iv³ MvwYwZK we‡klø ‡Yi gva¨‡g †`Lv hv‡”Q gL~ ¨KÛz jxi
ev, I = Io sin T t cvKmsL¨v †MŠYKÛz jxi wØ¸Y| mZy ivs †MŠYKÛz jx‡Z 140W ÿgZv
2 7.5 †c‡Z n‡j GKwU †÷cWvDb UªvÝdigvi e¨envi Ki‡Z n‡e hvi
†MŠY KzÐjxi cvKmsL¨v n‡e g~L¨KÛz jxi A‡a©K|
ev, I = Io sin T  4 T

ev, I = 2  sin 2  7.5
4
ckÖ œ6 GKwU w`K cwieZ©x cÖevn‡K I = 10sin10t mgxKiY

 I = 0.40 A (Ans.) Øviv cÖKvk Kiv n‡jv| [bvivqYMÄ K‡jR]

N †`Iqv Av‡Q, K. †jÝ Kv‡K e‡j? 1

†MŠY KzÛjx‡Z ÿgZv, P = 140W L. †Kvb †Kv‡li Zwo”PvjK kw³ 10V ej‡Z wK eSy ? 2
†MŠY KÛz jxi †iva, R = 8.75
GLv‡b, gL~ ¨ KÛz jxi Zwor cÖevn, Ip = 2A M. Zwor ceÖ v‡ni gvb kb~ ¨ †_‡K kxl©gv‡b †cuŠQv‡Z KZ mgq

jvM‡e? 3

Aa¨vq-5: ZvwoZ‡PŠ¤K^ Av‡ek I cwieZx© cÖevn

N. MvwYwZK hyw³i mvnv‡h¨ †`LvI †h, DÏxc‡K ewY©Z cÖevn‡K  Kvh©Ki cÖevn, Ieff = Irms = 0.707  Io
= 0.707  10
100 †iv‡ai †Kvb cwievnxi ga¨ w`‡q Pvjbv Ki‡j

DËvcRwbZ kw³ ÿ‡qi nvi 5000Js1| 4

6 b¤^i cÖ‡kœi DËi = 7.07A

K `ywU †Mvjxq A_ev GKwU †Mvjxq I GKwU mgZj A_ev `ywU †`Iqv Av‡Q, cwievnxi †iva, R = 100
†ejbvK…wZ A_ev GKwU †ejbvK…wZ I GKwU mgZj c„ô Øviv mxgve× awi, DËvcRwbZ kw³ ÿ‡qi nvi, H
†Kvb ¯^”Q cÖwZmviK gva¨g‡K †jÝ e‡j|

L †Kv‡bv †Kv‡li Zwo”PvjK kw³ 10V ej‡Z †evSvq 1C mZy ivs, H = I2eff  R
Avavb‡K H †Kvl m‡gZ †Kvb eZ©bxi GKwe›`y n‡Z GKevi m¤ú~Y© = (7.07)2  100
eZ©bx Nywi‡q cybivq H we›`y‡Z Avb‡Z 10 J KvR m¤úbœ nq| = 4998.49  5000

g³y Ae¯’vq A_©vr hLb †Kvb ZworceÖ vn P‡j bv ZLb †KvlwUi `yB

cvÖ ‡šÍi wefe cv_©K¨ n‡e 10V| Js1

M †`Iqv Av‡Q, A_©vr, DÏxc‡K ewY©Z ceÖ vn‡K hw` 100 †iv‡ai †Kvb cwievnxi
I = 10 sin10t ......... (i) ga¨ w`‡q Pvjbv Kiv nq Zvn‡j R‡y ji m~Îvbmy v‡i H †iv‡ai wecix‡Z
wKQy Zvc Drcbœ n‡e Avi GB ZvcRwbZ kw³ ÿ‡qi nvi nj
Avgiv Rvwb, I = Io sint ............. (ii) 5000Js1|

(i) bs Ges (ii) bs mgxKiY Zzjbv K‡i cvB, ckÖ œ7 wb‡Pi wP‡Î GKwU w`K cwieZ©x cÖevn †`Lv‡bv n‡q‡Q|
t = 10t

ev,  = 10 Y

+i0

ev, 2 = 10 [GLv‡b, T = ch©vqKvj] T/2 T X
T O T/4

1 t i0
 T = 5 sec Y

ceÖ v‡ni gvb kb~ ¨ †_‡K kxl© gv‡b †cŠu Qv‡Z cÖ‡qvRbxq mgq, [†gRi †Rbv‡ij gvng`y jy nvmvb Av`k© gnvwe`¨vjq, Uv½vBj]

1 K. w`K cwieZ©x cÖevn Kx? 1
T5 1
 t = 4 = 4 = 20 = 0.05 s (Ans.) L. wWwm A‡cÿv Gwm †ewk wec¾bK †Kb- e¨vL¨v Ki| 2

N DÏxcK n‡Z cvB, I = 10 sin 10t M. DÏxc‡Ki cwieZ©x ceÖ v‡ni mgxKiY i = 50 sin628t n‡j

Zwor ceÖ v‡ni (i) kxl©gvb (ii) K¤úv¼ Ges (iii) gj~

Avgiv Rvwb, I = Io sint Moe‡M©i gvb wbY©q Ki| 3

GLv‡b, w`K cwieZ©x cÖev‡ni kxl©gvb, Io = 10A N. DÏxc‡Ki Av‡jv‡K T Gi A‡a©‡Ki gv‡bi Rb¨ ceÖ v‡ni Mo

gvb wbY©q Ki| 4

Aa¨vq-5: ZvwoZ‡PŠ¤K^ Av‡ek I cwieZx© cÖevn

7 b¤^i cÖ‡kœi DËi N c`Ö Ë mgxKiY : i = 50sin628t

K †Kv‡bv eZ©bx‡Z Zwor ceÖ vn hw` GKwU wbw`©ó mgq cici w`K T Gi A‡a©K gv‡bi Rb¨ A_©vr t = T mg‡qi Rb¨ cÖev‡ni Mo
cwieZ©b K‡i Ges wbw`©ó mgq cici m‡e©v”P I me©wb¤œ gvb cÖvß 2

nq †mB Zwor cÖevn‡K w`K cwieZx© cÖevn e‡j| gvb

T

L GKB gv‡bi DC †fv‡ëR A‡cÿv AC †fv‡ëR †ewk i 12
wec¾bK| †hgb, 220V wWwm †fv‡ë‡Ri kK gv‡b n‡jv, kK
LvIqvi mgqKv‡j me©`v 220V gv‡bi †fv‡ë‡Ri kK LvIqv| G‡Z = T  idt
†`‡n ÿqÿwZi AvksKv i‡q‡Q| Z‡e GKB mgqKvj a‡i 220V
Gwm †fv‡ë‡Ri kK †L‡j †`‡n ÿqÿwZi cwigvY †ewk n‡e| KviY 20
220V Gwm gv‡b wbw`©ó ÿ`z ª mgq AšiÍ AšÍi m‡e©v”P 220V  2
= 311V gv‡bi †fv‡ëR| Gwm †fv‡ë‡Ri †ÿ‡Î R.M.S ev T  T = 2 6228
Kvh©Ki gvb 220V n‡j kxl©gvb n‡e 311V. G Kvi‡Y wWwm A‡cÿv  = = 
Gwm †ewk wec¾bK| 12  T
2 
M cwieZ©x cÖev‡ni cÖ`Ë mgxKiY, i = 50sin628t = T  50sin628t dt 628

20


50 628

=   sin628tdt

628 0

G‡K wb‡¤vœ ³ mgxKi‡Yi mv‡_ Zzjbv K‡i cvB, i = iosint 
(i) w`K cwieZ©x cÖev‡ni kxl©gvb, io = 50A (Ans.) 628  co62s6828t628
= 50  

0

(ii) K¤úv¼, f n‡j, = 50  628  1  cos 628 628 + cos (0)
 628

 = 2f

ev, 628 = 2f 50
=  ( cos + cos0)

ev, f 628 50
= 2 =  (1 + 1)

628 2
= 2  3.1416 = 50  

 f = 99.95 Hz. (Ans.) = 50  0.637
(iii) ceÖ v‡ni g~j Moe‡M©i gvb,
i = 31.85A
irms = 0.707  io
= 0.707  50 myZivs T Gi A‡a©K gv‡bi Rb¨ A_©vr Aa©ch©vq Kv‡ji Rb¨ cÖev‡ni
Mo mgvb = 31.85A

 irms = 35.35A (Ans.)

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