The magnetic field in a particular region is independent of position, but varies

Question

The magnetic field in a particular region is independent of position, but varies in time as sketched in the figure below. If a loop of area 0.36 m2 is oriented perpendicular to this magnetic field, what is the approximate magnitude of the induced emf at t = 0 and t = 0.7 s?

0.5 t (s) 1.0 (a) Estimate B(o Estimate B(0.25 s). What is the magnitude of the induced emf at t = 0? (Use your estimate/estimates.) (b) Estimate B(0.5 s) Estimate B(0.75 s). What is the magnitude of the induced emf at t = 0.7 s? (Use your estimate/estimates.)

Explanation / Answer

the flux through a loop is given by the formula F=B A cosQ

B is the field

A is the area of the loop

Q is the angle between the surface normal vector and the field

now,0.7s

magnetic field=0.375 appox

F=0.375*0.36S*cos0

F=0.135.

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