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A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 10 A in 0.5 s, what is the change of flux linkage with the other coil?

Asked in GUJCET 2022 · Mutual inductance and induced EMF

• (1) 30 Wb
• (2) 1.5 Wb
• (3) 15 Wb
• (4) 0.15 Wb

Step-by-step solution

Why the other options are wrong

• (1) Comes from dividing by the time: (1.5×10)/(0.5)=30. That is the average emf in volts, not the flux linkage. It is also the textbook answer for a 20 A change, not this 10 A one.
• (2) Takes the mutual inductance itself as the answer. 1.5 Wb is the linkage for each ampere; this change is 10 A.
• (4) Comes from dividing M by the current change, (1.5)/(10)=0.15, instead of multiplying.

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