Consider a solenoid that is very long compared with its radius. Of the following choices, what is the most effective way to increase the magnetic field in the interior of the solenoid? (Hint: Page 783, equation 29.17) A. Double its length, keeping the number of turns per unit length constant B. Reduce its radius by half, keeping the number of turns per unit length constant C. Overwrap the entire solenoid with an additional layer of current-carrying wire

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Answer:

C. Overwrap the entire solenoid with an additional layer of current-carrying wire

Explanation:

The most effective way to increase the magnetic field in the interior of the solenoid is

Formular to calculate magnetic field in the interior is,

[tex]B=\mu_0 nI[/tex]

Here, [tex]\mu_0[/tex] is the absolute permittivity

[tex]n[/tex] is the number of turns

[tex]I[/tex] is the current flowing in the wire.

From the above formular, the magnetic field depends upon the current flowing and the number of turns over the solenoid

The most effective way to increase the magnetic field in the interior of the solenoid is C. Overwrap the entire solenoid with an additional layer of current-carrying wire.

It should be noted that for a solenoid that has a cylinder that's wrapped with a thin wire round the cylinder, there'll be a negligible magnetic field that is produced outside of the solenoid when there's passage of current through the wire.

In such a situation, the most effective way to increase the magnetic field in the interior of the solenoid is to overwrap the entire solenoid with an additional layer of current-carrying wire. This will help increase the strength of the magnetic field that's inside the solenoid.

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