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Moving Charges And Magnetism

Question
CBSEENPH12039579

In a coil of resistance 100 Ω, a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is

  • 250 Wb

  • 275 Wb

  • 200 Wb

  • 225 Wb

Solution

A.

250 Wb


straight q space equals space fraction numerator increment straight ϕ over denominator straight R end fraction
increment straight ϕ space equals space change space in space flux
straight q space equals space integral Idt
equals space Area space of space current space minus time space graph
space equals 1 half space straight x space 10 space straight x space 0.5 space equals space 2.5 space coloumb
straight q space equals fraction numerator increment straight ϕ over denominator straight R end fraction
increment straight ϕ space equals space 2.5 space straight x space 100 space equals space 250 space space wb