How do you come to answer i) being correct as opposed to answer ii).? Why is v)

Question

How do you come to answer i) being correct as opposed to answer ii).?

Why is v) not correct?

A very long wire carrying a steady current I going into the page is shown in the figure. Three oriented loops are also shown in the figure below. Which statement or statements are correct? Contour Integral_A B right arrow middot dl right arrow = mu_0I Contour Integral_A B right arrow middot dl right arrow = -mu_0I The magnetic field at every point around the loop B is mu_0/2piR_b Contour Integral B right arrow middot dl right arrow greaterthan Contour Integral B right arrow middot dl right arrow greaterthan Contour Integral B right arrow middot dlrightarrow An external force would do negative work when moving a positive charge around loop B in the direction of loop B. Only I and iv are correct. Only ii and iv are correct. Only iii and v are correct. Only ii,iv,and v are correct.

Explanation / Answer

integration in direction of vector shown in loop A should be Positive so option i is right and ii is wrong

in statement V work done is zero in moving a charge in direction of magnetic field which is along the loop

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