Magnetic fields and induced EMF

[Sabrina_18]

Homework Statement

An coil has 4000 turns of wire and a mean area of cross-section 25cm^2. A magnetic field of flux density 0.16T passes through it. When the magnetic field is reduced steadily to zero in 0.0050s, emf is induced across the terminals of the coil. Calculate the value of this induced emf.

Homework Equations

E = N D Φ /Dt

The Attempt at a Solution

E = 4000 X (0.25 X 0.16) ÷ 0.0050 = 32 X 10^3V?

Or here's another solution
Ɛ = - N∆Φ / ∆t


25 cm² = 25 x 10^-4 m²

Φ = NBA = 4000 turns x 0.16 T x (25 x 10^-4 m²) = 1.6 Wb

Ɛ = - (4000 turns x 1.6 Wb) / 0.0050 s = - 1.28 x 10^6 V or - 1.28 MV

Please help. The second one seems more logical however I'm not sure its right. Thanks

 

[G01]

Your initial equation can be used to solve the problem:

$$emf=-N\frac{d\Phi}{dt}$$

You are making an error though. You are not converting the area units correctly.

25cm^2=0.0025m^2

not 0.25m^2