# In a vertical magnetic field of B induction, a conductor is moving perpendicullar on filed, with constant speed. What electromotive voltage is induced in conductor? The conductor is occupying the...

In a vertical magnetic field of B induction, a conductor is moving perpendicullar on filed, with constant speed.

What electromotive voltage is induced in conductor?

The conductor is occupying the transverse area with radius R.

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The induced electromotive voltage

E=vBl

The vectorial product vxB give the orientation to the induced electromotive voltage .

The active length l is obtained from Pitagora theorem:

l=2sqrt(R^2-(R-vt)^2)

E=vBl=2vBsqrt(vt-(2R-vt)), t<2R/v

Under sqrt, the factors sum is constant, =2R, and independent by t, then the product is maxim when the factors are equal:

vt=2R-vt

t=R/v (meaning when the conductor passes through the circle center, that means that the active length is maxim)