Question

A solenoid is designed to produce a magnetic field of 0.0270 T at its center. It has radius 1.40 $\mathrm{cm}$ and length $40.0 \mathrm{cm},$ and the wire can carry a maximum current of 12.0 A. (a) What minimum number of turns per unit length must the solenoid have? (b) What total length of wire is required?

          A solenoid is designed to produce a magnetic field of 0.0270 T at its center. It has radius 1.40 $\mathrm{cm}$ and length $40.0 \mathrm{cm},$ and the wire can carry a maximum current of 12.0 A. (a) What minimum number of turns per unit length must the solenoid have?
(b) What total length of wire is required?

Added by Paul G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

12/27/2021

Step 1

The magnetic field $ B $ inside a solenoid is given by the formula: \[ B = \mu_0 n I \] where $ B $ is the magnetic field, $ \mu_0 $ is the permeability of free space ($4\pi \times 10^{-7} \, \text{T}\cdot\text{m/A}$), $ n $ is the number of turns Show more…

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