The magnetic flux passing perpendicular to the plane of coil is given by φ = 4t 2 +5t+2 where φ is in weber and t is in second. Calculate the magnitude of instantaneous emf induced in the coil when t = 2 sec.      Solution:     Given,    magnetic flux, φ =  4t 2 +5t+2    time,  t  = 2 sec    induced emf,  ε   = ?       From Faraday's law,    \[\begin{align*}   \epsilon& = -\frac{d\phi}{dt}\\   &=-\frac{d(4t^2+5t+2)}{dt}\\   &=-(8t+5)\\   \end{align*}\]   At t = 2 sec, the induced emf is ,    \[\begin{align*}   \epsilon&=-(8 \times 2 + 5)\\   \therefore \epsilon& = -21\hspace{0.1cm}\text{V}\\   \end{align*}\]      Thus, the magnitude of induced emf is  21  V.          A straight conductor of length 25 cm is moving perpendicular to its length with a uniform speed of 10 m/s making an angle of 45 0  with a uniform magnetic field of 10 T. Calcuate the emf induced across its length.       Solution:     Given,    length,  l  = 25 cm = 0.25 m    sp...
 
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