Coil 1 has an inductance of .035 H and 100 turns. Coil 2 has an inductance of .0

Question

Coil 1 has an inductance of .035 H and 100 turns. Coil 2 has an inductance of .055 H and 185 turns. The coils are rigidly positioned with respect to each other, their mutual inductance is .004 H. A .008 A current in coil 1 is changing at a rate of 7.0 A/s.
1) What flux links coil1? (Not 1.73*10^-7 Wb or 2.8*10^-6 Wb) 2) What is the magnitude of the self-induced emf that appears in coil 1?
     .240 V
3)What flux links coil 2? (Not 1.73*10^-7 Wb or 2.8*10^-6 Wb) 4) What is the magnitude of the mutually induced emf that appears in coil 2?      .0280 V Coil 1 has an inductance of .035 H and 100 turns. Coil 2 has an inductance of .055 H and 185 turns. The coils are rigidly positioned with respect to each other, their mutual inductance is .004 H. A .008 A current in coil 1 is changing at a rate of 7.0 A/s.
1) What flux links coil1? (Not 1.73*10^-7 Wb or 2.8*10^-6 Wb) 2) What is the magnitude of the self-induced emf that appears in coil 1?
     .240 V
3)What flux links coil 2? (Not 1.73*10^-7 Wb or 2.8*10^-6 Wb) 4) What is the magnitude of the mutually induced emf that appears in coil 2?      .0280 V

Explanation / Answer

for coil 1 :     inductance L1 = 0.035 H     number of turns N1 = 100    current i1 = 0.008 A     current rate (di/dt)1 = 7 A/s    current i1 = 0.008 A     current rate (di/dt)1 = 7 A/s for coil 2 :     inductance L2 = 0.055 H     number of turns N2 = 185 mutual inductance M = 0.004 H .......................................................... 1) magnetic flux in coil 1 is 1 = L1i1/N1        = (0.035)(0.008) / (100)        = 2.8*10-6Wb        = 2.8 Wb        = 2.8 Wb .......................................................... 2) emf = L1(di/dt)1          = (0.035)(7)          = 0.245 V ......................................................... 3) magnetic flux in coil 2 is     2 = Mi1/N2           = (0.004)(0.008)/(185)           = 1.73*10-7 Wb           ˜ 173 nWb           ˜ 173 nWb ........................................................... 4) mutual inductance emf = M(di/dt)                                     = (0.004)(7)                                     = 0.028 V

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