The flux of magnetic field through a closed conducting loop changes with time according to the equation,Φ=at2+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 respectively, find the including emf at t=2 s.
Given:Φ=at2+bt+cSame dimensional quantity can be added, subtracted and equated.
(a) a=[ϕt2]=[ϕ/tt]=voltsec; b=[ϕt]=volt; c=[ϕ]=Weber
(b) a=0.2,b=0.4,c=0.6,t=2s
E=dϕdt=2at+b=2×0.2×2+0.4=1.2volt