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+1 vote
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in Physics by (20 points)

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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1 Answer

+1 vote
by (37.7k points)

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°

= 10-3\(\frac{\sqrt{3}}{2}\)

 =  \(\frac{\sqrt{3}}{2000}\) 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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