1. A 0.04 m2 rectangular loop consists of 95 turns and carries a current of I = 4.2A. A 2.4-T magnetic field is directed perpendicular to the plane of the loop. If the loop is free to rotate about an axis parallel to the plane of the loop and passes through its center, determine the magnitude of the net torque exerted on the loop. ___________N.m
2. A beam of electrons is accelerated through a potential difference of 12kV before entering a velocity selector. If the B-field of the velocity selector is perpendicular to the velocity and has a value of 0.03 T, what value of the E-field is required (in the magnetic field region) if the particles are to be undeflected? ____________V/m
3. A vertical straight wire carrying an upward 14 A current exerts an attractive force per unit length of 8.8x10-4 N/m on a second parallel wire 8 cm away. What current magnitude flows in the second wire? ______________Amp
4. Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au2+), each with a mass of 3.27 10-25 kg. The ions are accelerated from rest through a potential difference of 1.40 kV. Then, a 0.420 T magnetic field causes the ions to follow a circular path. Determine the radius of the path.
____________m
5. A 35 cm diameter coil consists of 23 turns of cylindrical copper wire 3.2 mm in diameter. A uniform magnetic field, perpendicular to the plane of the coil, changes at a rate of 7.5 x 10-3 T/s. Determine the current in the loop in milli-amps ( the resistivity for copper is 1.72x 10-8Ohm.meter). ________________mA
6. A circular loop in the plane of the paper lies in a 0.9 T magnetic field pointing into the paper. The resistance of the coil is 2.7 Ohms. If the loop's diameter changes from 23 cm to 5 cm in 0.3 s, what is the average induced current in milli-amps?
_______________mA
(FOR THE FOLLOWING QUESTION, USE: https://general.physics.rutgers.edu/gifs/CJ/22-7.gif )
7. The moving rod in the figure is 15 cm long and moves with a speed of 13 cm/s. If the magnetic field is 0.4 T, calculate the magnitude of the electric field in the rod (review chapter 19 for relationship between electric field and difference in potential).
________________N/C
(FOR #8 USE THIS IMAGE: https://general.physics.rutgers.edu/gifs/CJ/22-9.gif )
8. A loop of a wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.23 m. The normal to the plane of the loop is parallel to a constant magnetic field of magnitude 0.73 T. What is the change in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution?
_______________Wb
2. A beam of electrons is accelerated through a potential difference of 12kV before entering a velocity selector. If the B-field of the velocity selector is perpendicular to the velocity and has a value of 0.03 T, what value of the E-field is required (in the magnetic field region) if the particles are to be undeflected? ____________V/m
3. A vertical straight wire carrying an upward 14 A current exerts an attractive force per unit length of 8.8x10-4 N/m on a second parallel wire 8 cm away. What current magnitude flows in the second wire? ______________Amp
4. Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au2+), each with a mass of 3.27 10-25 kg. The ions are accelerated from rest through a potential difference of 1.40 kV. Then, a 0.420 T magnetic field causes the ions to follow a circular path. Determine the radius of the path.
____________m
5. A 35 cm diameter coil consists of 23 turns of cylindrical copper wire 3.2 mm in diameter. A uniform magnetic field, perpendicular to the plane of the coil, changes at a rate of 7.5 x 10-3 T/s. Determine the current in the loop in milli-amps ( the resistivity for copper is 1.72x 10-8Ohm.meter). ________________mA
6. A circular loop in the plane of the paper lies in a 0.9 T magnetic field pointing into the paper. The resistance of the coil is 2.7 Ohms. If the loop's diameter changes from 23 cm to 5 cm in 0.3 s, what is the average induced current in milli-amps?
_______________mA
(FOR THE FOLLOWING QUESTION, USE: https://general.physics.rutgers.edu/gifs/CJ/22-7.gif )
7. The moving rod in the figure is 15 cm long and moves with a speed of 13 cm/s. If the magnetic field is 0.4 T, calculate the magnitude of the electric field in the rod (review chapter 19 for relationship between electric field and difference in potential).
________________N/C
(FOR #8 USE THIS IMAGE: https://general.physics.rutgers.edu/gifs/CJ/22-9.gif )
8. A loop of a wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.23 m. The normal to the plane of the loop is parallel to a constant magnetic field of magnitude 0.73 T. What is the change in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution?
_______________Wb