8. On a horizontal plane such as this sheet of paper, an xcy-coordinate system i

Question

8. On a horizontal plane such as this sheet of paper, an xcy-coordinate system is oriented along East-West and North-South directions as shown. The cross sections of two long straight conducting wires, each carrying 25 A but in opposite directions, are also shown. Find the magnitude and direction of the magnetic field at the point labeled a. current into the page 0.05 m a E A. 1.0×10-4 T, East C, 1.0 × 10-4T, North E, 1.0 × 10-4 T, West G, 1.0×10-4T, South 0.05 m 10.05 m B, 7.1 × 10-5 T, NE D.7.1 × 10-5 T, NW F, 7.1x10-5 T, sw H.7.1 × 10-5 T, SE @r-current out of the page 1S0.0 9. In a mass spectrometer, ions issue from an ion source and, in moving through a potential difference V acquire kinetic energy K = qV, where q = e = 1.6 × 10-19 C. The ions then pass through an aperture in a metal plate into a uniform magnetic field where they travel in a semicircular path until they enter a detector. The detector is fixed in position. What is the relation between the accelerating potential V and the v mass m of the ions? Region of magnetic field perpendicular to the page Metal plate Detector Source North Pole 10. The earth's magnetic field B at high northern latitudes is about 6 × 10-5 T directed vertically downward. Suppose a horizontal transmission wire, oriented north-south, is 200 m long and carries alternating current that varies back and forth between peak values of 120 A in each direction. What is the magnetic force on this wire when the current is 120 A northward? B 0 600 x10-4 T A. 3 × 10-7 N vertically up C. 3 x 10-7 N eastward E. 1.4 N eastward B. 3 × 10-7 N westward D. 1.4 N vertically down F. 1.4 N westward

Explanation / Answer

Answering question 8,

By right-hand thumb rule, the wire in the north(going into the plane) would give magnetic field in the south-west direction of certain magnitude
the wire in the south, (going out of the plane) would give a magnetic field of the same magnitude but in the direction north-west
The two vertical components would cancel out and the horizontal components would add up in the west direction so total magnitude would be in the west
option e would be correct

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