Mutual Induction

Practice Questions:

Question 1: difficult

Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area A = 10 cm² and length = 20 cm. If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is
\[\left( \mu=4\pi\times 10^{-7} T m A^{-1}\right)\] :

1. \[4.8\pi\times 10^{-4} H\]

2. \[4.8\pi\times 10^{-5} H\]

3. \[2.4\pi\times 10^{-4} H\]

4. \[2.4\pi\times 10^{-5} H\]

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Question 2: difficult

What is the mutual inductance of a two-loop system as shown with centre separation l ?

1. \[\frac{\mu_{0}\pi a^{4}}{8l^{3}}\]

2. \[\frac{\mu_{0}\pi a^{4}}{4l^{3}}\]

3. \[\frac{\mu_{0}\pi a^{4}}{6l^{3}}\]

4. \[\frac{\mu_{0}\pi a^{4}}{2l^{3}}\]

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