Page 64 - Basic Electrical Engineering

or,

e = P ϕ n V (1.25)

1.12 EMF INDUCED IN A CONDUCTOR

In terms of length of conductor, ℓ and velocity of the conductor, v in a
magnetic field of flux density, B, the EMF induced in a conductor, e is

calculated as

e = B lν sinθ V (1.26)

To establish the above relation, let us consider a single conductor represented
by a small circle (cross-sectional view) is moved in a magnetic field of
2
strength B Wb/m as shown in Fig. 1.12.

Figure 1.12 EMF induced in a conductor moving in a magnetic field

Let the conductor cut the flux at right angles by moving a distance dx

2
meter. The area swept by the moving conductor is ℓ dx m . The flux density
2
is B Wb/m .

Flux cut = Flux density × area
= B ℓ dx Webers

The time taken to move a distance dx m is dt seconds.
Induced emf, e = Flux cut per second