Name: Anonymous 2008-10-27 18:00
Trying to finish up all my physics homework and I'm stuck on these two questions. I don't necessarily want someone to just post the answers I'd really like to just find out how to solve them...
First question: A figure in my book shows a metallic block, with its faces parallel to coordinate axes. The block is in a uniform magnetic field of magnitude 0.020T. One edge length of the block is 25cm. The block is moved at 3.0 m/s parallel to each axis in turn, and the resulting potential difference V that appears across the block is measured. With the motion parallel to the y axis, V = 12mV; with the motion parallel to the z axis, V = 18mV; with the motion parallel to the x axis, V = 0. What are the block lengths (a) dx, (b) dy, and (c) dz? With dx, dy, and dz being the edge lengths.
Second question: A certain commercial mass spectrometer is used to seperate uranium ions of mass 3.92 x 10^(-25) kg and charge 3.20 x 10^(-19) C from related species. The ions are accelerated through a potential difference of 100 kV and then pass into a uniform magnetic field, where they are bent in a path of radius 1.00m. After traveling through 180 degrees and passing through a slit of width 1.00mm and height 1.00cm, they are collected in a cup. (a) What is the magnitude of the perpendicular magnetic field in the separator? If the machine is used to separate out 100mg of material per hour, calculate (b) the current of the desired ions in the machine and (c) the thermal energy produced in the cup in 1.00h.
First question: A figure in my book shows a metallic block, with its faces parallel to coordinate axes. The block is in a uniform magnetic field of magnitude 0.020T. One edge length of the block is 25cm. The block is moved at 3.0 m/s parallel to each axis in turn, and the resulting potential difference V that appears across the block is measured. With the motion parallel to the y axis, V = 12mV; with the motion parallel to the z axis, V = 18mV; with the motion parallel to the x axis, V = 0. What are the block lengths (a) dx, (b) dy, and (c) dz? With dx, dy, and dz being the edge lengths.
Second question: A certain commercial mass spectrometer is used to seperate uranium ions of mass 3.92 x 10^(-25) kg and charge 3.20 x 10^(-19) C from related species. The ions are accelerated through a potential difference of 100 kV and then pass into a uniform magnetic field, where they are bent in a path of radius 1.00m. After traveling through 180 degrees and passing through a slit of width 1.00mm and height 1.00cm, they are collected in a cup. (a) What is the magnitude of the perpendicular magnetic field in the separator? If the machine is used to separate out 100mg of material per hour, calculate (b) the current of the desired ions in the machine and (c) the thermal energy produced in the cup in 1.00h.