A solenoid is used to create a 27.0 mT magnetic field at its center. It has a radius of 1.40 cm and a length of 40.0 cm. The wire can carry a current of 12.0 A. a. What is the number of turns the solenoid must have? b. What is the total length of wire required to build it? c. If an electron is moving inside the solenoid with a velocity of 5.60 X106 m/s, how much will be the radius of curvature of its path if the magnetic field is perpendicular to its velocity?
A solenoid is used to create a 27.0 mT magnetic field at its center. It has a radius of 1.40 cm and a length
of 40.0 cm. The wire can carry a current of 12.0 A.
a. What is the number of turns the solenoid must have?
b. What is the total length of wire required to build it?
c. If an electron is moving inside the solenoid with a velocity of 5.60 X106 m/s, how much will be the
radius of curvature of its path if the magnetic field is perpendicular to its velocity?
d. If the same wire is used to build another solenoid with 500 turns and a length of 75.0 cm, how much
will be the radius of this new solenoid?
e. If an external magnetic field acts on the new solenoid with a magnitude of 5.00 µT in a direction
perpendicular to its plane, how much will be the net torque exerted on it? Ignore the magnetic field
created by the solenoid itself.
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