(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Assuming we have equal volumes in both scenarios, which would maximize the magnetic field in a solenoid: a thick and short wire or a thin and long wire.

2. Relevant equations

B=(m)(constant)(I)/(2R)

m= the number of layers of wire

3. The attempt at a solution

The answer is clearly a thin and long wire because of the equation B=unI, but I was suppose to use the equation I listed under "relevant equations". According to that equation, if we use a thicker wire, the number of layers of wire would increase but the radius would increase. So based on that equation, how am I suppose to realize that a long and thin wire maximizes the field?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Maximize the magnetic field in a solenoid

**Physics Forums | Science Articles, Homework Help, Discussion**