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A coil of effective area 0.45 m^(2) is placed in a field-free region. Subsequently, a uniform magnetic field that increases uniformly from zero to 1.25 T in 015 s is applied perpendicular to the plane of the coil. What is the magnitude of the emf inducted in the coil? |
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Answer» Solution :Data: `NA= 0.45 m^(2), B_(f) = 1.25 T, B_(i) = 0, Deltat= 0.15s` Initial MAGNETIC flux, `Phi_(i) =0 (therefore B_(i)=0)` FINAL magnetic flux, `Phi_(f) = NAB_(f)` `E= - (DeltaPhi)/(Deltat) = -(Phi_(f)-Phi_(i))/(Deltat) = -(NAB_(f)-0)/(Deltat) = -(NAB_(f))/(Deltat)` `=-(0.45 xx 1.25)/(0.15)= -3.75 V` `therefore` The magnitude of the induced emf, `|E| = |(DeltaPhi)/(Deltat)|= 3.75` V |
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