The magnetic field of an electromagnetic wave obeys the relation in a certain region is $$B=10$$−$$12sin(1$$×$$106t)$$ in tesla, where 't'is the time. Then, the induced emf, in a $$100$$ turns in coil of area $$10cm2$$ oriented perpendicular to the field is

Question

The magnetic field of an electromagnetic wave obeys the relation in a certain region is $$B=10$$−$$12sin(1$$×$$106t)$$ in tesla, where 't'is the time. Then, the induced emf, in a $$100$$ turns in coil of area $$10cm2$$ oriented perpendicular to the field is

Infinity Learn · Accepted Answer

Induced emf  $$e=$$−dϕ$$dt=$$−$$Nd(BAcos$$θ$$)dt$$     [here θ$$=0o$$  as field is normal to coil] ⇒$$e=-NAd(B)dt$$ ⇒$$e=-NAd(Bosin$$ω$$t)dt$$ ⇒$$e=-NABo$$ω$$cos$$ωt ⇒$$e=-100$$×$$10$$×$$10-4$$×$$10-12$$×$$106$$ $$cos$$(106t) ⇒$$e=-10-7$$ $$cos$$(106t)

The magnetic field of an electromagnetic wave obeys the relation in a certain region is $B = 10^{- 12} \sin (1 \times 10^{6} t)$ in tesla, where $' t'$ is the time. Then, the induced $emf$ , in a 100 turns in coil of area ${10cm}^{2}$ oriented perpendicular to the field is

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The magnetic field of an electromagnetic wave obeys the relation in a certain region is B=10−12sin(1×106t) in tesla, where 't'is the time. Then, the induced emf, in a 100 turns in coil of area 10cm2 oriented perpendicular to the field is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

The magnetic field of an electromagnetic wave obeys the relation in a certain region is $B = 10^{- 12} \sin (1 \times 10^{6} t)$ in tesla, where $' t'$ is the time. Then, the induced $emf$ , in a 100 turns in coil of area ${10cm}^{2}$ oriented perpendicular to the field is