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A coil of wire enclosing an area of 100cm² is placed with it's plane making an angle 60°with the magnetic field strength 10-¹ T. What is the flux through the coil ? If magnetic field is reduced to zero in 10-³S, then the induced effect? |
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Answer» 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. |
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