Page 161 - Electrician -1st Year - TT
P. 161
R L C ùRôPo CûQl× ªuÑtß (R L C series circuit )
úSôdLeLs: ClTôPj§u Ø¥®p ¿eLs ùT\ úYi¥V A±Ü §\uLs
• ªu]ÝjRj§tLô] ùYdPôo YûWTPjûR YûWVÜm
• Cm©PuvûV ¾oUô²dLÜm
• LQd¡tÏ ¾oÜ LôQÜm.
ùRôPo ªuÑt±p, ªuRûP,
CuPdPuv Utßm ùLlTô£Puv
(Resistance, inductance and capacitance in series) :
ªuRûP (R), CuPd¥q ¬VôdPuv (X )
L
Utßm ùLlTô£h¥q ¬VôdPuv (X )
C
B¡VûY ùRôPo CûQl©p
CûQdLlThÓs[Õ
(Fig 1a) Lôi©dLlThÓs[Õ. ªuÑtßdÏ
CûP«p RWlTÓm ªu]ÝjRm E,
@lÃdÏYu£ f, Utßm ªuú]ôhPm I G]
ùLôsL.
CÕ ùRôPo ªuÑt\ôL CÚlTRôp CkR
Ñt±u Aû]jÕ TôLeLÞdÏ NUUô]
ªuú]ôhPm ùNpÛm. úUÛm Sm
YN§dLôL ªuú]ôhP úT^ôo I (phasor),
ªuÑt±u úT^ôo YûWTPj§p ¡ûP = I () ( R 2 + X )X − 2
UhPj§p (horizontally) YûWVlThÓs[Õ. L C
ªuRûPdÏ CûPúVÙs[ ªu]ÝjRm = IZ
E = IR ªuú]ôhPj§tÏ in phase Es[Õ
úUÛm ªuú]ôhP úT^ôÚPu 2 2
A[ÜúLôÛdÏ HtT YûWVlTÓ¡\Õ. ∴ Z = () ( R + L X C )X −
CuPdPuvdÏ CûPúVÙs[ ªu]Ýjm
E = IX ªuú]ôhPj§tÏ ùNeúLôQj§p E
And I =
YûWVlThÓ leading Cp Es[Õ. Z
ùLlTô£hPÚdÏ CûPúVÙs[ The phase angle is found by
ªu]ÝjRm E = IX ªuú]ôhPj§tÏ
X - X
ùNeúLôQj§p YûWVlThÓ lagging BL
t anφ L C
Es[Õ. R
CuPdPuv Utßm ùLlTô£Puv ERôWQm
A¡VYt±dÏ CûPúVÙs[ ªu]ÝjRm
ªuRûP 20 , CuPdPuv 0.2 ùau±
G§o ¨ûX«p Fig 1b CÚlTRôp CWi¥u
Utßm ùLlTô£Puv 100MFD B¡VYtû\
ùUôjR ªu]ÝjRm AYt±u
GiL¦RjR§u ®j§VôNUôÏm. Fig 1b þp I Es[Pd¡V JÚ ùRôPo ªuÑtß 220V, 50Hz
XC Nlû[«p CûQdLlThÓs[Õ.
ûV ®P I A§LUôL Es[RôL
XL ¸rLiPYtû\ LiÓ©¥dLÜm.
Lôi©dLlThÓs[Rôp I XõÚkÕ úSW¥VôL
X
L¯dLlTÓ¡\Õ. 3 ªu]ÝjReL°u úT^ôo a ªuÑt±u Cm©Puv
áhÓùRôûL ûXu ªu]ÝjRUôL CÚdL
b ªuÑt±p TôÙm ªuú]ôhPm
úYiÓm. úUÛm ùNeúLôQ ØdúLôQj§u
LoQUôL (Hypotenuse) Es[Õ TdLeLs I c ªuÑt±u §\u LôW¦ (power factor)
R
Utßm (I - I ) VôL Es[Õ. d ªuÑt±p ùNXYôÏm ªu§\u (power)
XL XC
BûLVôp e JqùYôÚ Eßl©Ûm (Element) EiPôÏm
ªu]ÝjR Årf£. (Fig 2)
2
2
E = () ( IR + IX ) IX −
L C
TYo : GXdh¬μVu (NSQF - Revised 2022) R.T. Ex.No. 1.5.45 141