Question

4. As shown below, a 120-turn coil of radius 1.8 cm and resistance 5.3 Q is coaxial with a solenoid of 220 turns/cm and diameter 3.2 cm. The solenoid current drops from 1.5 A to zero in time interval At= 25 ms. a. What magnitude of current is induced in the coil during At? (17 pts) b. Does the induced current rotate in the same or opposite direction as the current in the coil? Justify your answer to receive credit. (8 pts) Coil GooooooOOOOOOOOOOOOOD 00X3022000** Solenoid

Answer 1

(@ netic ragne feld inside the solenoid - B=llon. I where m= number of turns fer unit length 220 turus lan 22000 turns to diameter of selenaid , d = 3.2cm > r=106cm = 1.6610²m Magnetic flex linked (he each turn of B X Tr? Montyte - Magnetic flus linked with N terus Coil (n=120) - Call of Ea At ♡ = Nixllion I XIT&>) Magnitude of mduced emf- ΔΟ - Nxillon Ixile?) at &= llonn Tile? | AI at Magnitude of Induced current Induced E Honnie? AI R R at Put llo = 47X107 I- mA, N=120, n = 22000 trovas e=1:6X10²m, R = 5:32 141 = 1.5 25x103 // At :. Iinduced = 40 x1õ%8120122000 XTT*(1-6X102)? x 15 5.3 25X163

-) Linduced = 0.030 A According As current in solenoid decreases so magnetic field maide it also decreases with time. Acco to Lenz lew induced current in the Coil will Floco in such a direction so that it could "offose the change in magnetic flex 80 disection Induced current in the Coil will be same as dieu of current in the solenoid of