Time and Date Stamps (logged): 05:27:10 12-05-2008 ¯´Ÿ±¶Ÿ°¯°±Ÿ¯´Ÿ±¯¯·
** Write clearly in dark pencil or ink, on one side of the paper only. **
. . . . . . . . . . . . . . . .
Constants:
| k = 9*10^9 N m^2 / C^2 | qE = 1.6 * 10^-19 C | h = 6.63 * 10^-34 J s |
| energy of n=1 orbital in hydrogen atom: -13.6 eV | k ' = 9 * 10^-7 T m / amp | atomic mass unit: 1.66 * 10^-27 kg |
| electron mass: 9.11 * 10^-31 kg | speed of light: 3 * 10^8 m/s | Avogadro's Number: 6.023 * 10^-23 particles/mole |
| Gas Constant: R = 8.31 J / (mole K) | proton mass: 1.6726 * 10^-27 kg | neutron mass: 1.6749 * 10^-27 kg |
.
.
.
.
.
.
.
.
.
.
Problem Number 1A magnetic field of magnitude .1 Tesla passes through a square loop with side 6.5 meters, with the field perpendicular to the plane of the loop. The loop rotates at 7.1 Hz.
The loop is connected so that the voltage is across a resistance of .2 `Ohms. What is the average power required to turn the loop, if we assume that power generation is 31% efficient? Ignore the effects of self-induction in the loop, but explain what self-induction is and what effect it might have on your answer.
.
.
.
.
.
.
.
.
.
.
Problem Number 2What is the power flux of light whose intensity is .2 watts/m ^ 2 through a square window with side 10 meters, if the sunlight makes an angle of 90 degrees with a 'normal' line perpendicular to the plane of the window?
.
.
.
.
.
.
.
.
.
.
Problem Number 3What will be the force on an electron (mass approximately 9 * 10^-31 kg, charge -1.6 * 10^-19 C) as it moves in the horizontal direction at velocity 8.4 * 10^6 m/s within a uniform magnetic field of .0035 Tesla directed vertically upward? What will be the radius of curvature of its path? Describe its path. What would be the radius of curvature for a proton (mass approximately 1.6 * 10^-27 kg) moving at the same velocity? Describe specifically how its path would differ from that of the electron.
.
.
.
.
.
.
.
.
.
.
Problem Number 4What is the electrostatic flux of a field of magnitude 3.3 N/C through a circular region with radius 7.2 meters, if the field makes an angle of 80 degrees with a perpendicular to the plane of the region?
.
.
.
.
.
.
.
.
.
.
Problem Number 5A particle carrying charge 5 `microCoulombs moves at constant velocity through a combined electric and magnetic field. Both fields are perpendicular to one another and to the direction of motion of the charge, and are oriented so that the forces exerted by the two fields are in opposite directions. The electric field has strength E = 24000 N / C and the magnetic field has strength B = .49 Tesla.
.
.
.
.
.
.
.
.
.
.
Problem Number 6Find the magnitude of the magnetic field due to a straight current segment of length .039 m, at a distance of 7.8 meters from the segment, given that the vector from the midpoint of the segment to the point makes at angle 12 degrees with the segment, and that a current of 3.3 Amps flows in the segment.