Page 162 - Electrician -1st Year - TT
P. 162
ùWùNô]v ªuÑtß (Resonance circuit)
X Utßm X B¡VYt±u U§l× NUUôL
L C
CÚdÏm úTôÕ AûYLÞdÏ CûPúV
EiPôÏm ªu]ÝjR Årf£ NUUôL
CÚdÏm. úUÛm AûY JußdùLôuß WjÕ
ùNnÕd ùLôsÞm. ùNÛjRlTÓm
ªu]ÝjRjûR ®P V Utßm V
L C
B¡VYt±u ªu]ÝjR Årf£ ªLÜm
¾oÜ (Solution):
A§LUôL CÚdÏm. AkR ªuÑt±u
R = 20 Cm©Puv ªuRûPdÏ NUUôL CÚdÏm.
ùNÛjRlTÓm ªu]ÝjRm ØÝYÕm ªu
L = 0.2 ùau±
RûPdÏ CûP«p CÚdÏm. úUÛm
C = 100 MFD
ªuRûP«u A[ÜdÏ HtT ªuÑt±u
V = 220V ªuú]ôhPm ªuRûP«u U§lTôp
f = 50Hz YûWVßdLlTÓ¡\Õ.
CuPd¥q ¨úVdPuv XL - 2 x 5 x 0.2 = 62. 8 CjRûLV ªu]à ÑtßLs úW¥úVô, Utßm
TV ¥ë²e ÑtßL[ôL TVuTÓjRlTÓ¡\Õ.
ùLlTô£¥q ¬úVdPuv X
C
X = X BL CÚdÏmúTôÕ AkR Ñtû\
L C
1 10 ùWùNô]v (resonance) Ñtß Guß
= = = 32ohms
π
2π fC 2 × 50 × 100 AûZd¡ú\ôm. CkR Ñt±p ªuú]ôhPm
A§LThNUôL CÚlTRôp CûR GdùNlPôo
2
a Cm©Puv Z = R + ( X )X − 2 (acceptor) Ñtß G]Üm AûZdLlTÓ¡\Õ. L
L C Utßm C «u A±VlThP U§l×dÏ CÕ
¨LÝm @lÃdÏYu£ûV ùWùNô]h
2
20 + ( = - 32 )62.8 2 = 36.7 ohms @lÃdÏYu£ G] AûZdLlTÓ¡\Õ. AkR
A[ûY ¸rLiPYôß LQd¡PXôm.
b ªuÑt±p TôÙm ªuú]ôhPm X = X
= V/Z = 220/36.7 = 5.99 amps L C
c §\uLôW¦ = cos = R/Z = 20/36.7 = 0.54 (lagging) 2π fL = 1
2π fC
d §\u (power) = VI CosØ = 220 x 5.99 x 0.54 W =
711..61 watts
1
e ªuRûP«p HtTÓm ªu]ÝjR Årf£ G]úY ùWùNô]v @lÃdÏYu£ = 2π LC
= IR = 5.99 x 20 = 119.8V
ϱl×: §\uLôW¦«u úLôQm
CuPdPuv³p HtTÓm ªu]ÝjR
ùTôÕYôL (Theta) G]
Årf£ = IX = 5.99 x 62.8 = 378.17V
L
ϱdLlTÓ¡\Õ. CkR ×jRLj§u
ùLlTô£Puv³p HtTÓm ªu]ÝjR £X TdLeL°p Ø (phi) G]Üm
Årf£ = IXC = 5.99 x 32 = 191.68V ϱdLlThÓs[Õ. CÕ úTôuß
Utßm Ø G] Uôt\ôL
ϱdLlThÓs[Õ.
142 TYo : GXdh¬μVu (NSQF - Revised 2022) R.T. Ex.No. 1.5.45