The magnetic field of an electromagnetic wave , obeys the relation in a certain region , is $$B=10$$−$$12sin(5$$×$$106t)T$$, where t is the time . Then the induced emf, in a $$300$$ turns coil of area $$20cm2$$ oriented perpendicular to the field is

Question

The magnetic field of an electromagnetic wave , obeys the relation in a certain region , is  $$B=10$$−$$12sin(5$$×$$106t)T$$, where t is the time . Then the induced  emf, in a $$300$$ turns coil of area $$20cm2$$ oriented perpendicular to the field is

Infinity Learn · Accepted Answer

Induced   emf  : $$e=$$−dϕ$$dt=$$−$$Nd(BAcos$$θ$$)dt$$ ⇒$$e=-NAdBdt$$        [Coil is perpendicular to field ∴$$cos$$θ $$=$$ $$1$$] ⇒$$e=-NAd(Bosin$$ω$$t)dt$$ ⇒$$e=$$−BoANω$$cos$$ωt ⇒$$e=$$ −$$10$$−$$12$$×$$20$$×$$10$$−$$4$$×$$3$$×$$102$$×$$5$$×$$106cos(5$$×$$106t)$$ ⇒$$e=-3$$×$$10-6cos(5$$×$$106t)$$

The magnetic field of an electromagnetic wave , obeys the relation in a certain region , is $B = 10^{- 12} \sin (5 \times 10^{6} t) T$ , where $t$ is the time . Then the induced $emf$ , in a 300 turns coil of area ${20cm}^{2}$ 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=10−12sin(5×106t)T, where t is the time . Then the induced emf, in a 300 turns coil of area 20cm2 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 $B = 10^{- 12} \sin (5 \times 10^{6} t) T$ , where $t$ is the time . Then the induced $emf$ , in a 300 turns coil of area ${20cm}^{2}$ oriented perpendicular to the field is