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In aregion of space we find atime-varying magnetic flux density given by B = B0sin(ωt −...

In aregion of space we find atime-varying magnetic flux density given by B = B0sin(ωt − ax −by)ˆzT. [11]

a. (3 pts) Determine the corresponding electric field intensity E.

b. (3 pts) Determine the relation between a, b and ω imposed by Maxwell’s equations.

c. (4 pts) Determine the magnetic flux Φm through the rectangular wire from (0,0,0) to π 2a, π d. (1 pts) What is the induced voltage in the above wire?

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