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A solenoid S1 is placed inside another s...

A solenoid `S_1` is placed inside another solenoid `S_2` as shown in The radii of he inner and the outer solenoids are `r_1` and `r_2` respectively and the numbers of turns per unit length are `n_1` and `n_2` respectively. Consider a length I of each solenoid. Calculate the mutual inductance betwwen them.

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