The plane of a rectangular coil, 2.2 cm by 9.6 cm, isperpendicular to the direct

Question

The plane of a rectangular coil, 2.2 cm by 9.6 cm, isperpendicular to the direction of a uniform magnetic field B. Ifthe coil has 101 turns and a total resistance of 6.8 , atwhat rate must the magnitude of B change to induce a current of0.12 A in the windings of the coil? Answer in units of T/s. A= 2.2 cm * 9.6 cm = 0.2112 m2. Emf = I R= (0.12 A) ( 6.8 ) = 0.816 V. Emf = - N B A / T Emf / - N A = B/ T 0.816 V / (101 turns)( 0.2112 m2) = B/T B/T = 0.03 T/s help please the answer is wrong and i dont know where I messedup. The plane of a rectangular coil, 2.2 cm by 9.6 cm, isperpendicular to the direction of a uniform magnetic field B. Ifthe coil has 101 turns and a total resistance of 6.8 , atwhat rate must the magnitude of B change to induce a current of0.12 A in the windings of the coil? Answer in units of T/s. A= 2.2 cm * 9.6 cm = 0.2112 m2. Emf = I R= (0.12 A) ( 6.8 ) = 0.816 V. Emf = - N B A / T Emf / - N A = B/ T 0.816 V / (101 turns)( 0.2112 m2) = B/T B/T = 0.03 T/s help please the answer is wrong and i dont know where I messedup.

Explanation / Answer

           Given that the area of the ractangle is A = 0.022 m*0.096 m =0.002112 m2            Number of turns is N = 101             Resistanceis R = 6.8             Currentis I = 0.12A ---------------------------------------------------------------------------------        magnitude of Induced emf is   = NAdB/dt                                                   IR = NAdB/dt                                                dB/dt = IR / NA                                                         =( 0.12A*6.8) / (101*0.002112m2)                                                       = 3.82 T/s

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