Indicate the direction of the force experienced by each positive charge as it mo

Question

Indicate the direction of the force experienced by each positive charge as it moves, as shown, through a uniform magnetic field. Three parallel conductors carry currents into or out of the page as shown. Each is located 15 cm from the origin. Find the magnitude and sketch the direction of the net magnetic field at the origin Be sure to indicate directions of B_1, B_2, and B_3 to justify your sum. One of the isotopes of hydrogen is called deuterium. (It's an important component of "heavy" water.) A deuteron (ionized) is a particle made from one proton bound to one neutron. A deuteron moving with a speed of 6 times 10^5 m/s, perpendicular to a uniform magnetic field of 0.85 T, would follow a circular path. Determine the radius of this circular path, and pick which path the particle would take in the diagram above. A 50-tum coil of radius 15 cm is placed in a uniform magnetic field as shown The overall resistance of the coil is 0.75 Ohm. If the magnetic field increases from 0.5 T to 4 5 T in 1. 5 seconds, determine the magnitude of the average induced current in the coil Also, indicate the direction of the induced current on the diagram below.

Explanation / Answer

1. (i) v -> j

B -> i

F = q (v x B)

F = j x i = -k

into the page

(ii) v -> -i

B -> -k

F -> -i x -k = -j

downward

(iii) v-> k

B -> -j

F -> k x -j = i

to the right

(iv) v-> -j

B -> k

F -> -j x k = -i

to the left

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