Magnetics 6 Question 20

20. Consider two different metallic strips (1 and 2) of same dimensions (length l, width w and thickness d ) with carrier densities n1 and n2, respectively. Strip 1 is placed in magnetic field B1 and strip 2 is placed in magnetic field B2, both along positive y-directions. Then V1 and V2 are the potential differences developed between K and M in strips 1 and 2, respectively. Assuming that the current I is the same for both the strips, the correct options is/are

(2015 Adv.)

(a) If B1=B2 and n1=2n2, then V2=2V1

(b) If B1=B2 and n1=2n2, then V2=V1

(c) If B1=2B2 and n1=n2, then V2=0.5V1

(d) If B1=2B2 and n1=n2, then V2=V1

Passage 2

Electrical resistance of certain materials, known as superconductors, changes abruptly from a non-zero value to zero as their temperature is lowered below a critical temperature TC(0). An interesting property of superconductors

is that their critical temperature becomes smaller than TC(0) if they are placed in a magnetic field i.e. the critical temperature TC(B) is a function of the magnetic field strength B. The dependence of TC(B) on B is shown in the figure.

(2010)

Show Answer

Solution:

  1. V=BInedV1V2=B1B2×n2n1

If B1=B2 and n1=2n2, then V2=2V1

If B1=2B2 and n1=n2, then V2=0.5V1



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