You are given a certain volume of copper from which you can make copper wire. to insulate the wire, you can have as much enamel as you like. you will use the wire to make a tightly wound solenoid 20 cm long having the greatest possible magnetic field at the center and using a power supply that can deliver a current of 5 a. the solenoid can be wrapped with wire in one or more layers. a) should you make the wire long and thin or shorter andthick? explain.

would it be shorter and thick because b= μ0ni is tha magnetic field at the center (n=n/l)so if you wrap it a greater number of time and have a shorterlenght the b would be greater?

b) should you make the solenoid radius small or large? explain.

radius small b/c using same equationn=n/2πr so a smaller r the greater n and the greaterb