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A circular conducting coil of radius a and resistance R is placed with its plane perpendicular to a magnetic field. The magnetic field varies with time according to the equation `B=B_(0)sinomegat`. Obtain the expression for the induced current in the coil. |
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Answer» As we know, induced current, `I=("induced emf(e)")/("resistance (R)")` Again, `e=-(dphi)/(dt)` = rate of change of magnetic flux with time `therefore I=((-dphi)/(dt))/(R)=-(1)/(R).(d)/(dt)(BAcos0^(@))` or, `I=-(A)/(R).(d)/(dt)(B_(0)sinomegat)[because B=B_(0)sinomegat]` `=-(AomegaB_(0))/(R)cosomegat=-(pia^(2)omegaB_(0))/(R)cosomegat` |
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