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# Inductance

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1. I'm stuck with part c) on this question, any ideas?
2. (Original post by langlitz)

I'm stuck with part c) on this question, any ideas?
Maybe write down a general expression for L in terms of r, the radius at which the medium starts, and differentiate to find a maximum.

More physically, note that inside the coax, so you want to put the "strengthening effect" of the medium as close to the inner cylinder as possible, as that will increase .
3. (Original post by atsruser)
Maybe write down a general expression for L in terms of r, the radius at which the medium starts, and differentiate to find a maximum.

More physically, note that inside the coax, so you want to put the "strengthening effect" of the medium as close to the inner cylinder as possible, as that will increase .
Ah thanks, I see now

I get

as the maximum inductance
4. (Original post by langlitz)
Ah thanks, I see now

I get

as the maximum inductance
I agree (via the 2nd method - haven't tried the 1st).

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