The flux of magnetic field through a closed conducting loop changes with time according to the equation, `Phi = at^2 + bt+ c. (a) Write the SI units of a,b and c. (b) if the magnitudes of a,b and c are 0.20, 0.40 and 0.60 respectely, find the induced emf at t = 2 s.

Explanation

Here phi=at^(2)+bt+c`
`(a) a=((phi)/T^(2))=[(phi//t)/t]+(Volt)/(sec)`
`b=[phi/t]=volt`
`c=[phi]= weber `
`(b) E=(d phi )/(dt) `
`=2at+ b=2xx0.2xx2xx0.4`
`(:' a=0.2, b=0.4,c=0.6)`
`=0.8+0.4 (t=2s)`
`=1.2 volt`.