A = 100 cm2 = 100 x 10-ym2 = 10-2m2
θ = 30°
B = 10-1T
∴ Flux, ϕ = \(\vec{B}.\vec{A}\)
= BA cosθ
= 10-1 x 10-2 x cos30°
= 10-3x \(\frac{\sqrt{3}}{2}\)
= \(\frac{\sqrt{3}}{2000}\) Wb.
Induced emf, |e| = \(\frac{-dϕ}{dt}\) = \(\Big[\frac{ϕ_f-ϕ_i}{Δt}\Big]\)
= -\(\Big[\frac{0-1.732}{\frac{2000}{10^{-3}}}\Big]\)
= \(\frac{1.732}{2000}\times\frac{1}{10^{-3}}\)
= \(\frac{1.732}{2}\)
= 0.866 V.