Faraday's Law of Induced Voltage:

The induced voltage magnitude depends on two factors:  (1) the number of turns of a coil, and (2) how fast the conductor cuts across the magnetic lines of force or flux.  Within the given Equation (1-20) is the mathematical representation for Faraday's Law of Induced Voltage.

V_ind =   -N (?Φ/?t)                          (1-20)

where

V_ind = induced voltage, V

N = number of turns in a coil

(?Φ/?t) = rate at which the flux cuts across the conductor,  Wb /s

Example 1:    Given:   Flux = 4 Wb.   The flux increases uniformly to 8 Wb within a period of 2 seconds. If the coil is stationary in the magnetic field find out induced voltage within a coil that has 12 turns.

Solution:

V_ind  = -N  (?Φ/?t)              

?Φ = 8Wb - 4Wb = 4Wb

?t = 2s

then

(?Φ/?t)   =     4Wb /2s   = 2Wb/s

V_ind = -12 (2) = -24 volts