need help for question ccccccccccccc thanks a lot 2. A current distribution (not
ID: 1323921 • Letter: N
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need help for question ccccccccccccc
thanks a lot
2. A current distribution (not shown) creates the spatially varying magnetic field shown at right. In region I the magnetic field increases in magnitude toward the bottom of the page. In region lithe magnetic field is uniform, and in region Ill the magnetic field is zero. a. Consider loop a (in region I). i. Draw and label an area vector for loop a on the diagram. ii. Is the line integral of the magnetic field around loop a positive, negative, or zero? Explain. iii. Which direction is net current passing through the loop? Use Ampere?s law to explain your answer. If no current passes through the loop, state so explicitly. b. Use the reasoning you developed in part a to find the direction that current is passing through loop b (in region II). Explain your reasoning. Use the reasoning you developed in part a to find the direction that current is passing through loop c (the loop part of which is in region II, and the bottom part of which is region III)Explanation / Answer
for loop A the area vector will be perpendicular to the face of the area of the loop either out of page or into page
line integral = B.dS = BScos theta
so for the side perpendicular to the B the the integral will cancell out for the two sides but for the top side and the bottom side of the area A it will not cancel out as the value of the magnetic field is not the same atthe two regions.
Thus the net line integral will be non zero and will be positive
Net flux through the loop does not change with time as the value of B remains constant with time and also the position of the loop remains constant with time .
thus as there is no net change in the flux there will be no emf induced in the loop and thus no current will flow in the loops
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