Question

How many turns of wire would be required to make a 130-mHinductance out of a 30.0-cm-long air-filled coil with a diameter of5.2 cm?

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asked 2021-02-19
How many turns of wire would be required to make a 130-mHinductance out of a 30.0-cm-long air-filled coil with a diameter of5.2 cm?

Answers (1)

2021-02-21

Self inductance of an air coredsolenoid \((L=130mH)\) depends on
1. the total no. ofturns (N) of the solenoid
2. the length \((l=30 cm)\) of the soldnoid
3. the area of thecross section \(\displaystyle{\left({A}=\pi{\left({2.6}\right)}^{{{2}}}\right)}\) of the solenoid
\(\displaystyle{L}=\mu_{{{0}}}{\frac{{{N}^{{{2}}}}}{{{l}}}}{A}\)
substituting the values we can find N
on solving, we get \(N = 38\) turns

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