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Two solenoids A and B spaced close to ea...

Two solenoids `A` and `B` spaced close to each other and sharing the same cylindrical axis have `400` and `700` turns, respectively. A current of `3.50A` in coil `A` produced an average flux of `300muT-m^2` through each turn of `A` and `a` flux of `90.0mT-m^2` through each turn of `B`.
a. Calculate the mutual inductance of the two solenoids.
b.What is the self inductance of `A`?
c. What emf is induced in `B` when the current in `A` increases at the rate of `0.5A//s`?

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