1.4 Circuit Theorems
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1 . Crcut Theorems. v,? (C)V, 5 6 (D) V, 6 5. A smple equvlent crcut of the termnl 6 v, network shown n fg. P.. s Fg. P... (A)V, (B)V, v (C)V,5 (D)V,5 Fg. P....,? 5 V, v (A) (B) Fg. P... (A)A, 0 (B) 0 A, (C),5 A, 6 (D).5 A, (C) (D). v,? 5.,? A v, 6A Fg. P... Fg. P...5 (A) V, 6 5 (B)V,5 6 (A)A, (C)A,9 (B)A,6 (D)A,
2 Crcut Theorems Chp. 6. v,? 5V v, 5A Fg. P...6 The vlue of the prmeter re v (A) V A (B) V A (C) 8 V. (D) 8 V 5 0 A. 8 5 A 5 (A) 00 V, 75 (C) 55 V, 7 (B) 55 V, 55 (D) 5 V, v? 7.? 6 8V 6 v 6 8 V A 6 Fg. P...0 5V (A) (B)7V (C) 8 V (D) 0 V (A) Fg. P...7 (B).? (C) 6 (D) k k 0 V 6k 8. The Thevenn mpednce cross the termnls of the network shown n fg. P...8 s V k k V (A) A 6 Fg. P...8 V 8 (B) 6 (C) 66. (D) 8 Fg. P... (A) A (B) 0.75 ma (C) ma (D).75 ma Sttement for Q.: A crcut s gven n fg. P... Fnd the Thevenn equvlent s gven n queston y 9. For In the the crcut shown n fg. P...9 network nd ts Thevenn nd orton equvlent re gven 5V 0 8 A y V A v Fg. P.... As vewed from termnl nd s (A)8V,6 (B)5V,6 Fg. P...9 (C)5V, (D)8V,
3 Chp. Crcut Theorems 5. As vewed from termnl y nd y s (A)8V, (B)V, (C)5V,6 (D)7V,6. A prctcl DC current source provde 0 kw to 50 lod nd 0 kw to 00 lod. The mmum power, tht cn drwn from t, s (A).5 kw (B) 5 kw (C) 0. kw (D) 0 kw Sttement for Q.56: In the crcut of fg. P...56 when 0, the current equls 0 A. (C)0A,0 9. v,? (A) 0 (C). 0. v,? (D)0A,0 6, Fg. P..9 (B). (D).6 V E A 0.v 5 v v Fg. P The vlue of, for whch t sors mmum power, s (A) (B) (C) (D) one of the ove 6. The mmum power wll e (A) 50 W (B) 00 W (C) 00 W (D) vlue of E s requred (A)8V,5 (C)V,5.? V Fg. P...0 (B)8V,0 (D)V,0 v v 7. Consder V ttery of nternl resstnce r connected to vrle resstnce L. The rte of het dsspted n the resstor s mmum when the current drwn from the ttery s. The current drwn form the ttery wll e when L s equl to (A) (B) (C) 8 (D) 8.,? 0 5, 0 0 (A) (C) 5 Fg. P... (B). (D) 0. In the crcut shown n fg. P... the effectve resstnce fced y the voltge source s v s Fg. P... (A)A,0 Fg. P...8 (B)A,0 (A) (C) (B) (D)
4 6 Crcuts Theorems Chp.. In the crcut of fg. P.. the vlue of t termnl s 0.75v 6 V 0.9 A L 8 Fg. P V Fg. P... v 6. The vlue of L wll e (A) (B) (C) (D) one of the ove (A) (B) The mmum power s (A) 0.75 W (B).5 W (C) 8 (D) one of the ove (C).5 W (D).5 W.? 00 8.? - v 00 v v v Fg. P (A) (B) 0 5 (C) (D) 5 5. In the crcut of fg. P...5, the L wll sor mmum power f L s equl to Fg. P...8 (A) 00 (B) 6. (C) 00 (D) Consder the crcuts shown n fg. P L 6 6 V (A) 00 (B) 9 k (C) 800 (D) 9 k Sttement for Q.67: Fg. P...5 In the crcut shown n fg. P..67 the mmum power trnsfer condton s met for the lod L. V 8V V 6 A V Fg. P...9 &
5 Chp. Crcut Theorems 7 (A) (C) The relton etween nd s 6 (B) 5. (D). If v s 6 V nd v s 6 V then the vlue of v s (A) V (B) V (C) 6 V (D) 6 V 0. eq? eq A network feeds resstnce s shown n fg. P... Let the power consumed y e P. If n dentcl network s dded s shown n fgure, the power consumed y wll e 9 Fg. P...0 (A) 8 (B) 7 (C) 6 (D) 9 Fg. P... (A) equl to P (B) less thn P (C) etween P nd P (D) more thn P. In the lttce network the vlue of L for the mmum power trnsfer to t s 5 Fg. P... (A) 6.67 (B) 9 (C) 6.5 (D) 8 Sttement for Q.: A crcut s shown n fg. P L 5. A certn network conssts of lrge numer of del lner resstors, one of whch s nd two constnt del source. The power consumed y s P when only the frst source s ctve, nd P when only the second source s ctve. If oth sources re ctve smultneously, then the power consumed y s (A) P P (B) P P (C) ( P P ) (D) ( P P ) 6. A ttery hs short-crcut current of 0 A nd n open crcut voltge of V. If the ttery s connected to n electrc ul of resstnce, the power dsspted y the ul s (A) 80 W (B) 800 W (C).5 W (D) 8 W v s v v s Fg. P The followng results were otned from mesurements tken etween the two termnl of resstve network Termnl voltge V 0 V Termnl current 0 A.5 A. If v v V then the vlue of v s s s 6 (A)V (B)V (C) (D)5V The Thevenn resstnce of the network s (A) 6 (B) 8 (C) 0 (D)
6 8 Crcut Theorems Chp. 8. A DC voltmeter wth senstvty of 0 k/v s used to fnd the Thevenn equvlent of lner network. edng on two les re s follows () 0 0 V le :V ( 6)( 6). (B) v 6 Solutons V, ( 6) () 0 5 V le :5V The Thevenn voltge nd the Thevenn resstnce of the network s (A) 6 V, 5 M (B) V, 00 k (C) 8 V, 5 M (D) 6 V, 00 k. (A) 5 V v 9. Consder the network shown n fg. P...9. Fg. S... Lner etwork L Fg. P...9 v, v 5 0 v A 6 The power sored y lod resstnce L shown n tle : s ( )( )( ) 5. (C) v V, 5 6 L 0 k 0 k P.6 MW.8 MW The vlue of L, tht would sor mmum power, s (A) 60 k (B) 00 (C) 00 (D) 0 k 0. Mesurement mde on termnl of crcut of fg.p...0 yeld the current-voltge chrcterstcs shown n fg. P...0. The Thevenn resstnce s (A) 00 (C) 00 (ma) v Fg. P...0 *********** esstve etwork (B) 00 (D) 00 v. (B) After kllng ll source equvlent resstnce s Open crcut voltge v 6 5. (D) A, 6 6A 6. (B) , v V 7. (C) After kllng the source, 6 6 Fg. S..5 6 Fg. S...7
7 Chp. Crcut Theorems 9 8. (B) After kllng ll source, (D) v 8 V v oc 5, 6 8 Fg. S..8 v A If we Thevenzed the left sde of nd source trnsformed rght sde of yy 8 v v 8 5 V, 8 ( 6 8) 6 8. (D) v v. (A) yy V, ( 8 6) (A) By chngng the LHS nd HS n Thevenn equvlent r L V 6 v V Fg. S.. r r 50 0k, 00 0k r 50 r 00 v 6 Fg. S..0 6 V ( r 00) ( r 50) r 00 ( 0) 00 0 A, P m. 5 kw 5. (C) Thevenzed the crcut cross,. (B) By chngng the LHS nd HS n Thevenn equvlent k k 0 V k Fg. S..5 Fg. S ma k k k 8V 6. (A) 0 A,, P m 0 50 W 7. (D) L r, A L L. (B) 8 6 y 8 8. (C) 0, V 8V 0 0 A v test y Fg. S.. Fg. S..8
8 0 Crcut Theorems Chp ( ) 05. A v test V vtest 0 9. (B) Crcut does not contns ny ndependent source, v 0 6 A v test. (B) v s v s voc voc 9. (C) voc v v, 075. v 0 8 voc voc 9 6( voc) 0, v oc V If termnl s short crcuted, v A nd voc (D) Usng source trnsform Applyng A t termnl, A vtest vtest ( ) 6 v test. V vtest. 0. (B) Fg. S..9 V v ( ) v 00 v v A 6 v test 50 6 v v 50 A v test 5 Fg. S.. 0.v 5 5. (C) v 5 0. v v 8 V v voc v For, v 0 5 A, voc 0. (D) v Fg. S..0 v v 8Vv oc A v V oc Fg. S v v oc V v 00 Fg. S.. If termnl s short crcuted, v A, voc v Fg. S V, A
9 Chp. Crcut Theorems A, voc 5 6. (B) A (D) Chngng the to Y 0 eq V 0.9 A v oc Fg. S..0 Fg. S..6 voc 0 0 v oc V 0 A, 7. (A) v v 8. (A) A,v v oc V, L, P m 075. W - test eq ( ) 9. (C) Fg. S.. 0.0v 00 For mmum power trnsfer L A v test. (D) The gven crcut hs mrror symmetry. It s modfed nd redrwn s shown n fg. S Fg. S..8 v 00 ( ) 00 ( 0. 0v ) 800 test v v test test v test v test 00 V vtest (C) In crcut () trnsformng the A source n to 8 V source ll source re.5 tmes of tht n crcut (). Hence 5.. v Fg. S... ow n ths crcut ll strght-through connecton hve een cut s shown n fg. S v 8 V 8 V V Fg. S... 6 Fg. S..9 6( ) v 5 V
10 Crcut Theorems Chp.. (B) Snce oth source hve opposte polrty, hence short crcut the ll strght-through connecton s shown n fg. S... 6 v For 0 50 V le m 50 0k M For V redng 50 0 A 0 v k 0 5 For 5 V redng A v 5 5 M 5 5 Solvng () nd () v 6 V, 00 k...()...() Fg. S.. 6 ( 6 ) v V. (C) Let Thevenn equvlent of oth network v v v 9. (D) v 0 k 0k. 6m 6 v 0 k 0k. 8m V v 0 v 0v v 60 0 k 0. (D) At v 0, 0 ma V P V V P Thus P P P Fg. S.. At 0, v oc V voc 00 0m ************ 5. (C) P nd P usng superposton ( P P ) P P v 6. (C) r P (. ) 7. (B) oc.. 5 W voc (A) Let 50 A senstvty 0k For 0 0 V le m 0 0k 00 k
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