The plane of a rectangular coil, 4 cm by 6 cm, isperpendicular to the direction

Question

The plane of a rectangular coil, 4 cm by 6 cm, isperpendicular to the direction of a magnetic field B. If the coilhas 75 turns and a total resistance of 9 , at what rate mustthe magnitude of B change to induce a current of 3 A in thewindings of the coil? The plane of a rectangular coil, 4 cm by 6 cm, isperpendicular to the direction of a magnetic field B. If the coilhas 75 turns and a total resistance of 9 , at what rate mustthe magnitude of B change to induce a current of 3 A in thewindings of the coil?

Explanation / Answer

          Giventhat the area of the rectangle is A = 0.04*0.06 m2 = 24*10-4 m2           Numberof turns is N = 75 turns           Theresistance is R = 9           Thecurrent is I = 3A -------------------------------------------------------------------------------------------       The induced emf is = N*d /dt                                I*R= N*d /dt                                I*R= N*A*dB /dt                            dB/dt = I*R / N*A                                      = ------------ T/s                                                    Numberof turns is N = 75 turns           Theresistance is R = 9           Thecurrent is I = 3A -------------------------------------------------------------------------------------------       The induced emf is = N*d /dt                                I*R= N*d /dt                                I*R= N*A*dB /dt                            dB/dt = I*R / N*A                                      = ------------ T/s                                         

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