Question

In the circuit shown in the following figure(Figure 1) the capacitor has capacitance 25 uF and is initially uncharged. The resistor Ro has resistance 12 12. An emf of 80.0 V is added in series with the capacitor and the resistor. The emf is placed between the capacitor and the switch, with the positive terminal of the emf adjacent to the capacitor. The small circuit is not connected in any way to the large one. The wire of the small circuit has a resistance of 1.112/m and contains 27 loops. The large circuit is a rectangle 2.0 m by 4.0 m, while the small one has dimensions a = 14.0 cm and b = 20.0 cm. The distance c is 4.0 cm. (The figure is not drawn to scale.) Both circuits are held stationary. Assume that only the wire nearest the small circuit produces an appreciable magnetic field through it. Figure < 1 of 1 S a + с b RO

Answer 1

we know, I osa e ke RC = 300 us current in large circuit is, I = 34 3 80 12 + e 300 us 2 ) 80 36 een e 3copy >> 1 / 36 lu so 300 36 0.798 25 t = 239.55 us Induced emf, x lu eta yaxio {= Mob 27. х do at 2 x 0.2 lu 0.18 za 3 0.04 X 239.55 X 106 = 7.53 x 10-4 ܘ ܥܝܢ E Induced current in small circuit, 7:53 x 10-4 27 X 1.1 % (2.10.14 ia =:3.73 x 10-5 wla (2.30-14 + 20:30) s A Part. > i = 37:3 MA Answer. B Induced current is clockwise. Let me Know answer is right or not now,

a capacitor e and S a source T + E be q at ernation The » a C da dt E Cine-t/ck) A circuit containing resistor R connected in series 3R Voltage { via Switch S. After switch is is thrown closed, capacitor win charged. Let be the charge on positive Plate of the eapacitor and i instant to any current be the is - emf ht + Ve Ĉ D E tir i R = { at q-ce éc dt da q-ce dt [roace q-cer CE. erect q=ce (in ter Instantaneous current in circuit is. qo -t/cR at Roda allu С d q Rc q t At to n 5 0 RC lu l-ce 논 Ret -CE اد >> q = e ) i da & E e e t/cR CR

'Capacitance, c=25MF = 254166 Resistance, Ro=122 1 R dr emfir E 580V reras current in Rc circuit is uld Vе, с Time constant T=ROC = 12 X25x10 er R t 2300 us 80 12 é 12 x 25 x 106 6.67 e 180ous Magnetic flux through small loop is a of Bids ds - bdr s octa lo I 1 میل B= bar Lл р zar ho I b 2 lu eta At t = 300 us, current, I = 6,67 e 1 Given 2.45 a = 0,14m bao.20m c=0.04 m Induced emf 2a1-dad 2 4130-2-45 Mob lu eta eta di at =-2.45 A 27 at 2300 us 24 Axio X107? xt x Or2 u 0.18 0,04 x+2.45 3000106 {=4.91 810-4 v

Induced current in is- small loop iz 8 4.91 810-4 R' 27 x 11 x (2x0.14 + 2x0.20) is 24.31 X 100G A 2431 a MA bo 2 fart B Total kangth = 2a + 2b Direction of induced induced current in Small circuit counter clockwise. is sina flua through smaller loop decreases with time.