Answer all parts. A long solenoid is made by wrapping wire (diameter=1 mm) around a cylinder with radius r=10cm. Now consider the force on the wire due to the magnetic field of the solenoid. a) Is the force inward or outward?b) Is the wire in tension or compression?c) Model the solenoid as a cylinder with a continuous surface current density. What is the pressure on the surface of the solenoid?d) The hoops stress on a thin walled hoop is given by where is in N/m^2, P is the pressure, r is the radius of the hoop, and d is the thickness of the wall. If the strength of the wire is 6800 psi, what is the maximum current that can flow in the solenoid without destroying it?
Answer all parts.
A long solenoid is made by wrapping wire (diameter=1 mm) around a cylinder with radius r=10cm. Now consider the force on the wire due to the magnetic field of the solenoid.
a) Is the force inward or outward?
b) Is the wire in tension or compression?
c) Model the solenoid as a cylinder with a continuous surface current density. What is the pressure on the surface of the solenoid?
d) The hoops stress on a thin walled hoop is given by where is in N/m^2, P is the pressure, r is the radius of the hoop, and d is the thickness of the wall. If the strength of the wire is 6800 psi, what is the maximum current that can flow in the solenoid without destroying it?
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