14 Magnetic effect of electric current
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1 Taet Publcaton Pvt. Ltd. Chapte : Manetc Effect of Electc Cuent Manetc effect of electc cuent. B Hnt to Poblem fo Pactce n R 7 B. 6.8 T. B N n. B T 7 8. T.. B N T. B 7. T 6. v θ /R / v θ R R dv A Ω dv. dv dv m dv/m 9 θ. 7. nab. 6 A A θ 8. v 9. dv/a dv/. dv dv/a 6 A R Ω v θ nab A A. R R Ω R whee R total etance of combnaton. R + whee equed hunt etance connected n paallel wth alvanomete.. Ω.. ad/a. 6 ad/a B na Wb/m. nab 8 de A. de A
2 Taet Publcaton Pvt. Ltd.. θ θ θ. R θ π π ad 8 6 θ. 6 θ. A Ω n ee. 6 ma, Ω 6 (6 ) 99 Ω 6. dv mv/dv m. ma Ω. ( ) Ω. R Ω 999 Ω n ee. 8. n n 9. nce, n (n ) n td. X c.: Phyc Numecal Ω Ω.Ω. R 97 Ω n ee.. + Fom, ( ) ( ).. ( ) Ω Ω n ee
3 Taet Publcaton Pvt. Ltd.. ntally cuent thouh alvanomete be whch maxmum cuent. Upon huntn, deflecton educe to / th onal 6 Ω.. R. 8 Ω n ee θ ma. θ m v.. R Ω ( ) Ω 999 Ω n ee... Cuent fo full cale deflecton. dv ma/dv ma R 98 Ω n ee. Chapte : Manetc Effect of Electc Cuent Ω 7. n n () n R (n ) (9) Ω n ee. 8. Readn pe dv. Total dv Requed voltae R. 988 Ω n ee. 9. ma A, Ω n n R (n ) 9 9 Ω n ee. (qbr). E max m (.6..) e.7 Me 9 Bq. f πm Hz. MHz v qbr 9 m m/. E max e Potental dffeence
4 Taet Publcaton Pvt. Ltd. (q BR) em 9 (.6.) e 7.67 Me 9 7 Hnt to Multple Choce Queton. B cente n. When R doubled, the B R halved.. B N Fo N ame, B B. B cente R f the we bent nto n tun, then R R n New manetc nducto, B n B n R/n ( ) B Fo, n, o B B. n R. Manetc feld due to a lon cuent cayn conducto, cm B B B R B L 7 B L tela B tela B Reultant BL + B T B L. B n R td. X c.: Phyc Numecal N/A m. 6. B N N tun/cm tun/m B 7 π T. π T 7. Foce on PQ BL Lenth QR L/ co θ Foce on QR B (L/ co θ) n θ F(PQ) : F(QR) : 8. B T 9. F Bl n θ. n 9 7. N. N tun/cm tun/m tun/m B 7 N π A. Manetc feld at the cente of a lon olenod ven by, B N Whee N numbe of tun pe unt lenth. B N B B N N / B B 6 B B 6.8. Wb m 6 6. At dtance a/ cuent, a π πa πa a B a/
5 Taet Publcaton Pvt. Ltd. At dtance a cuent B a a B Hence, B. nab nab n nab n n n 8 No. of tun hould be nceaed by 7.. Fo ame cuent θ n. Fo θ ame, 6. θ nba θ nab (when othe quante ae contant) B Hence, f feld doubled, cuent hould be halved. 8. nba θ A 9. v nba R Fo emann paamete contant, v R. ven, + ; R R Then, ntal voltae entvty, R New voltae entvty, R R % deceae n voltae entvty % Chapte : Manetc Effect of Electc Cuent. τ R θ N m.. A, nba θ nba θ N m pe deee. nab ad/a. v R dv/ma dv/m dv dv/. Let R be voltmete etance and n be total no. of dvon n voltmete. When cuent of value flow thouh t, voltae ecoded by each dvon, R n.() Afte connectn etance, (R + 7).() n Dvdn () by () R + 7 R olvn, R Ω and 7. (9. ) Ω 8. n ammete, alvanomete and hunt paallel ( ). Hence etance of ammete R + R +
6 Taet Publcaton Pvt. Ltd. 9. n ammete, lavanomete and hunt paallel ( ). Hence etance of ammete R + R Ω 8. td. X c.: Phyc Numecal oltmete R ma.6 A. hunt equed to nceae the ane to n tme, n.8 ( ). Ω. Potental dffeence aco ammete and hunt etance ame. R ( ) R 7 6 Ω. Fo A, A 8 Ω.. Fo n, R (n ) n. 8 R 8, Ω. 6. R R+ ( ).9 A. A 7. Wthout addtonal etance, ane t wll cove wll be ven by. m + R (+.)Ω.Ω.99 ma ma Ammete To obtan A. Ω ( ) 9. R 997 Ω. R Ω. actual value meaued by voltmete le than eal value.. To nceae ane of ammete, etance we hould be connected n paallel. [ ( )] Ω ρ R A A ρ.9. m E max π R f m π (.8) ( 7 ).6 7. J.6 7 e.6 Me 9 qb. f π m Hz 7 6
7 Taet Publcaton Pvt. Ltd.. Knetc eney of a chaed patcle ven by E q f eman ame, then E q ubttutn q p e; q e e ; q α e, we et E p : E e : E α : : Chapte : Manetc Effect of Electc Cuent 6. E Bq m Fo an α patcle, q e and m α m p E α B(e) (m p ) E (m ) B(e) p p E α E p 7. mv Bq m v q B v pecfc chae B. m 7 7 7
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