Building an Adjustable Electromagnet. You and your team are tasked with designing a source to provide a uniform magnetic field for an experiment. The field inside a solenoid is uniform, provided that the length of the solenoid is much longer than its diameter. One useful characteristic of an electromagnet of this type is that the field inside can be adjusted anywhere between OT and some maximum value by controlling the current. In addition, the direction of the field, which is always pointed along the axis, can be reversed by reversing the current. The solenoid you are designing must be 3.60 cm in diameter and 25.0 cm long, and must generate a maximum magnetic field of magnitude B = 0.150 T. You intend to wind a cylinder of the given dimensions with wire that can safely pass a maximum current of 6.50 A. (a) How many windings should the solenoid have in order that the magnetic field at the center of the solenoid is 0.150 T when the current is 6.50 A? (b) What total length of wire is required? (c) What current should you pass through the coil to generate a smaller magnetic field of magnitude 3.50 x 10-2 T at its center, but directed antiparallel to the field generated in part (a)? Assume the current was positive in part (a). (a) Number (b) Number (c) Number Mi MI i Units Units Units
Building an Adjustable Electromagnet. You and your team are tasked with designing a source to provide a uniform magnetic field for an experiment. The field inside a solenoid is uniform, provided that the length of the solenoid is much longer than its diameter. One useful characteristic of an electromagnet of this type is that the field inside can be adjusted anywhere between OT and some maximum value by controlling the current. In addition, the direction of the field, which is always pointed along the axis, can be reversed by reversing the current. The solenoid you are designing must be 3.60 cm in diameter and 25.0 cm long, and must generate a maximum magnetic field of magnitude B = 0.150 T. You intend to wind a cylinder of the given dimensions with wire that can safely pass a maximum current of 6.50 A. (a) How many windings should the solenoid have in order that the magnetic field at the center of the solenoid is 0.150 T when the current is 6.50 A? (b) What total length of wire is required? (c) What current should you pass through the coil to generate a smaller magnetic field of magnitude 3.50 x 10-2 T at its center, but directed antiparallel to the field generated in part (a)? Assume the current was positive in part (a). (a) Number (b) Number (c) Number Mi MI i Units Units Units
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 71P: Assume the region to the right of a certain plane contains a uniform magnetic field of magnitude...
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Transcribed Image Text:Building an Adjustable Electromagnet. You and your team are tasked with designing a source to provide a uniform magnetic field for
an experiment. The field inside a solenoid is uniform, provided that the length of the solenoid is much longer than its diameter. One
useful characteristic of an electromagnet of this type is that the field inside can be adjusted anywhere between OT and some maximum
value by controlling the current. In addition, the direction of the field, which is always pointed along the axis, can be reversed by
reversing the current. The solenoid you are designing must be 3.60 cm in diameter and 25.0 cm long, and must generate a maximum
magnetic field of magnitude B = 0.150 T. You intend to wind a cylinder of the given dimensions with wire that can safely pass a
maximum current of 6.50 A. (a) How many windings should the solenoid have in order that the magnetic field at the center of the
solenoid is 0.150 T when the current is 6.50 A? (b) What total length of wire is required? (c) What current should you pass through the
coil to generate a smaller magnetic field of magnitude 3.50 x 10-2 T at its center, but directed antiparallel to the field generated in part
(a)? Assume the current was positive in part (a).
(a) Number i
(b) Number i
(c) Number
MI
Units
Units
Units
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