Question
A solenoid is designed to produce a magnetic field of 0.0270 T at its center. It has radius 1.40 cm and length 40.0 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?
Step 1
Step 1: The magnetic field at the center of a solenoid is given by the formula $B = \mu n I$, where $B$ is the magnetic field, $\mu$ is the permeability of free space, $n$ is the number of turns per unit length, and $I$ is the current. Show more…
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"o A solenoid is designed to produce a magnetic field of $0.0270 \mathrm{~T}$ 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 $12.0 \mathrm{~A}$. (a) What minimum number of turns per unit length must the solenoid have? (b) What total length of wire is required?
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A solenoid is designed to produce a magnetic field of 0.0270 $\mathrm{T}$ 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 $\mathrm{A}$ . (a) What minimum number of turns per unit length must the solenoid have? (b) What total length of wire is required?
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