Problem

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

3.50 \text{ A}

in coil A produced an average flux of

300 \mu\text{T} \cdot \text{m}^2

through each turn of A and a flux of

90.0 \mu\text{T} \cdot \text{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

0.5 \text{ A/s}

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