Question

The graph gives the magnitude B(t) of a uniform magnetic field that exists throughout a conducting loop, perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude of the emf induced in the loop, greatest first

• A. b > (d = e) < (a = c)
• B. b > (d = e) > (a = c)
• C. b < d < e < c < a
• D. b > (a = c) > (d = e)

Answer 1

The correct option is B

b > (d = e) > (a = c)

Induced emf depends on how fast a magnetic field is changing. Greater the steep of the graph, faster the change in magnetic field and higher the induced emf. Hence magnitude of emf is greatest in b, followed by d and e. Induced emf is zero in regions a and c.