Title 2. P2C2 Electrostatics_With Solve.pdf ✅

w ̄’i Zwor  Mastery Practice Sheet 3 13| 20 C wewkó GKwU PvR© •e`y ̈wZK †ÿÎ •Zwi K‡i| PvR©wU †_‡K 10 cm Ges 5 cm `~i‡Z¡ `ywU we›`yi Ae ̄’vb| GKwU we›`y n‡Z Aci we›`y‡Z GKwU B‡jKUab wb‡Z Kv‡Ri cwigvY †ei Ki| [BUET 06-07] mgvavb: Avgiv Rvwb, K...ZKvR, W = Qq 40     1 rf – 1 ri  W = 9  109  20  10–6  1.6  10–19     1 0.05 – 1 0.1  W = 2.88  10–13 J (Ans.) 14| wZbwU avi‡Ki aviKZ¡ h_vμ‡g 5 F, 10 F Ges 1 F| G‡`i cÖ_g I Z...ZxqwU‡K †kÖwY‡Z mshy3 K‡i wØZxqwUi mv‡_ mgvšÍiv‡j mshy3 Kiv n‡j Zzj ̈ aviKZ¡ wbY©q Ki| [BUET 04-05; BUTex 00-01] mgvavb: Zzj ̈ aviKZ¡, Ceq = 10 + 5  1 5 + 1  Ceq = 10.833 F 10F 5 F 1 F 15| PviwU aviK, hvi cÖ‡Z ̈KwUi aviKZ¡ 20 F mgvšÍivj mgš^‡q ivLv n‡q‡Q| 2 V e ̈vUvixi m‡1⁄2 G‡K mshy3 K‡i ms‡hvM wew”Qbœ Kiv nj| KZ PvR© GB aviK ̧‡jv‡Z Rgv n‡e? [BUET 01-02] mgvavb: cÖwZwU avi‡Ki wefe cv_©K ̈ = 2 V  Q1 = Q2 = Q3 = Q4 = CV = 20  10–6  2 = 40 C  cÖwZwU avi‡K 40 C PvR© mwÂZ n‡e| (Ans.) 16| 3 F I 6 F aviK‡Z¡i `ywU aviK‡K †kÖwY mgev‡q hy3 K‡i eZ©bxi `yB cÖv‡šÍ 12 V Gi GKwU e ̈vUvwi ms‡hvM †`qv n‡jvÑ [BUET 00-01] i. eZ©bxi †gvU aviKZ¡ KZ? ii. cÖ‡Z ̈KwU avi‡Ki wefe cv_©K ̈ KZ? iii. cÖ‡Z ̈K avi‡K mwÂZ kw3i cwigvY KZ? mgvavb: i. †gvU aviKZ¡, Ceq = 3  6 3 + 6 = 2 F 3 F 6 F ii. †gvU cÖevwnZ PvR©, Q = Ceq  V= 2  12 = 24 C  3 F Gi wefe cv_©K ̈, V1 = Q C1 = 24 C 3 C = 8 V  6 F Gi wefe cv_©K ̈, V2 = 12 – 8  V2 = 4 V iii. 3 F avi‡Ki mwÂZ kw3, V1 = 1 2 CV2 = 1 2  3  10–6  8 2  V1 = 9.6  10–5 J 6 F avi‡Ki mwÂZ kw3, U2 = 1 2 CV2 = 1 2  6  10–6  4 2  U2 = 4.8  10–5 J 17| 20 †m. wg. e ̈vmv‡a©i GKwU cwievnx †Mvj‡Ki Zj mylgfv‡e 3 gvB‡μv-Kzj¤^ Avav‡b AvwnZ| †Mvj‡Ki c„‡ô Ges †K›`a †_‡K 30 †m.wg. `~‡i †Kv‡bv we›`y‡Z Zwor cÖvej ̈ wbY©q Ki| [KUET 19-20] mgvavb: †Mvj‡Ki c„‡ô cÖvej ̈, E1 = kQ R 2 = 9  109  3  10–6 0.22  E1 = 6.75  105 NC–1 †Mvj‡Ki †K›`a †_‡K 30 cm `~‡i cÖvej ̈, E2 = kQ r 2 = 9  109  3  10–6 0.32  E2 = 3  105 NC–1 (Ans.) 18| 12 F Ges 24 F aviK‡Z¡i `yBwU aviK †kÖwYe×fv‡e mshy3 Ki‡j aviKZ¡ KZ n‡e? G‡`i `yB cÖv‡šÍ 40 V Gi GKwU e ̈vUvixi mv‡_ mshy3 Ki‡j GwU KZ PvR© MÖnY Ki‡e? GKwU 100  †ivaK D3 aviK `yBwUi mv‡_ †kÖwY ms‡hvM Ki‡j M„nxZ Pv‡R©i wK cwieZ©b n‡e? [KUET 03-04] mgvavb: Zzj ̈ aviKZ¡, Ceq = 12  24 12 + 24 = 8 F M„nxZ †gvU PvR©, Q = CV = 8  10–6  40  Q = 3.2  10–4 C 100  †ivaK gy3 Ki‡j M„nxZ Pv‡R©i †Kv‡bv cwieZ©b n‡e bv| †Kbbv e ̈vUvwii wefe cv_©K ̈ I Zzj ̈ aviKZ¡ DfqB aaæeK _vK‡e| (Ans.) 19| 1.0 m evûwewkó GKwU eM©‡ÿ‡Îi cÖwZwU †KvYvq 5  10–9 C PvR© ̄’vcb Kiv n‡jv, eM©‡ÿ‡Îi †K‡›`a wefe wbY©q Ki| [RUET 07-08] mgvavb: 1m 1 2 m 5nC 5nC 5nC 5nC e‡M©i †K‡›`a wefe, V = V1 + V2 + V3 + V4  V = 1 40  1 r [q1 + q2 + q3 + q4]  V = 9  109  1 1 2  (4  5  10–9 )  V = 254.558 V (Ans.) 20| 1bs wP‡Î V1, V2, V3 †fv‡ë‡Ri gvb wbY©q Ki Ges mswkøó K ̈vcvwmU‡ii PvR© wbY©q Ki| [CUET 07-08] V2 V3 C2 C3 6F 12F V1 C1 10 V + – 6F Fig-i mgvavb: C1 avi‡Ki †ÿ‡Î, V1 = 10 V  Q1 = C1V1 = 6  10–6  10
4  Physics 2nd Paper Chapter-2  Q1 = 60 C Avevi, Cs = C2C3 C2 + C3 = 6  12 6 + 12 = 4 F  Q2 = Q3 = Cs  10 = 40 C  V2 = Q2 C2 = 40 C 6 F = 6.667 V V3 = Q3 C3 = 40 C 12 F = 3.33 V (Ans.) 21| PviwU 4 F Gi aviK‡K 100 V e ̈vUvwii mwnZ (K) mgvšÍivj ms‡hvM w`‡j wK cwigvY •e`y ̈wZK kw3 mwÂZ n‡e? (L) wmwiR ms‡hvM w`‡j wK cwigvY •e`y ̈wZK kw3 mwÂZ n‡e? [RUET 03-04] mgvavb: K. mgvšÍivj ms‡hv‡M, Ceq = 4  4 = 16 F  mwÂZ wefekw3, U = 1 2 CeqV 2  U = 1 2  16  10–6  1002  U = 0.08 J K. wmwiR ms‡hv‡M, Ceq = 4 4 = 1 F  mwÂZ wefekw3, U = 1 2 CeqV 2  U = 1 2  1  10–6  1002  U = 5  10–3 J (Ans.) 22| 12 C Ges 8 C `ywU we›`y PvR© ci ̄úi †_‡K 10 †m.wg. `~‡i Aew ̄’Z| PvR© `ywU‡K 6 †m.wg. e ̈eav‡b wb‡q Avm‡Z KZUzKz KvR Ki‡Z n‡e| PvR© `ywU k~‡b ̈ Aew ̄’Z| [CUET 05-06] mgvavb: Avgiv Rvwb, K...ZKvR, W = Qq 40     1 rf – 1 ri  W = 12  10–6  8  10–6  9 109      1 0.06 – 1 0.1  W = 5.76 J (Ans.) 23| GKwU evqyc~Y© mgvšÍivj cvZ avi‡Ki aviKZ¡ 8  10–12 F| hw` aviKwU 6 civ‣e`y ̈wZK aaæeK wewkó GKwU gva ̈g Øviv c~Y© K‡i cvZ؇qi ga ̈eZ©x `~iZ¡ Kwg‡q A‡a©K Kiv nq, Zvn‡j aviKwUi aviKZ¡ KZ n‡e? [BUTex 20-21] mgvavb: cÖ_g †ÿ‡Î, C1 = 0A d = 8  10–12 F wØZxq †ÿ‡Î, C2 = 0  kA d = 0  6  A d 2  C2 = 12 C1 = 96  10–12 F (Ans.) 24| Dielectric c`v_© wKfv‡e avi‡Ki aviKZ¡ e„w× K‡i? [BUTex 18-19] mgvavb: Dielectric c`v‡_©i k > 1. Avgiv Rvwb, C = 0 kA d ev, C  k  WvBB‡jKwUaK c`v‡_©i k Gi gvb †ewk nIqvq aviKZ¡ (C) e„w× cvq| (Ans.) 25| 0.05 mm cyiæ-KvMR‡K civwe`y ̈r (dielectric) wnmv‡e e ̈envi K‡i 1 F aviK‡Z¡i GKwU mgvšÍivj cvZ aviK •Zwi Kiv nj| G Rb ̈ 0.2 m e ̈v‡mi KqwU †MvjvKvi avZe PvKwZi cÖ‡qvRb n‡e Zv †ei Ki| [BUTex 00-01] mgvavb: n msL ̈K cvZ Øviv •Zwi avi‡Ki aviKZ¡, C = 0kA d (n – 1)  10–6 = 8.9  10–12  4  (  0.12 ) 0.05  10–3  (n – 1)  n = 45.7 A_©vr cÖvq 46wU †MvjvKvi avZe PvKwZi cÖ‡qvRb| (Ans.) weMZ eQ‡i BwÄwbqvwis fvwm©wU‡Z Avmv eûwbe©vPbx cÖkœmg~n 1. a evqy wewkó GKwU eM©‡ÿ‡Îi †K.wYK we›`y A, B, C I D †Z h_vμ‡g PviwU PvR© +q +q, –q I –q ̄’vcb Kiv nj| Dnvi †K›`a O we›`y‡Z •e`y ̈wZK wef‡ei gvb n‡eÑ [BUET 13-14] 1 40 q a 1 40 2q a 1 40 4q a 0 DËi: 1 40 4q a e ̈vL ̈v: –q a +q a 2 O +q –q V0 = 9  109 a 2 [q + q – q – q] = 0 2. mgvšÍivj cvZ avi‡Ki `yB cv‡Zi g‡a ̈ WvBB‡jKwUaK Øviv c~Y© Kivq aviKZ¡ 5 F †_‡K †e‡o 60 F nq| WvBB‡jKwUaK (civ‣e`y ̈wZK) aaæe‡Ki gvb n‡eÑ [BUET 13-14] 65 55 12 10 DËi: 12 e ̈vL ̈v: k = Cm C0 = 60 5 = 12 3. evqyc~Y© mgvšÍivj cvZ avi‡Ki aviKZ¡ 1 pF| cv‡Zi ga ̈eZ©x `~iZ¡ wØ ̧Y K‡i cvZ `ywUi ga ̈eZ©x ̄’vb m¤ú~Y©iƒ‡c †gvg civgva ̈g w`‡q c~Y© Kiv nj| d‡j aviKZ¡ 2 pF nq| †gv‡gi WvB-B‡jKwUaK aaæeK njÑ [BUET 12-13] 0.25 0.50 2.0 4.0 DËi: 4.0