A conductor 400mm long moves at a uniform speed of 4 m/s at a right angles to a uniform magnetic field of flux density 4.7 Tesla. Find then induce emf?
F=BIL sin degrees
4.7*0.4*4*sin 90 degrees = 7.52
To find the induced electromotive force (emf), you can use Faraday's law of electromagnetic induction. According to Faraday's law, the induced emf is equal to the rate of change of magnetic flux through the conductor.
The formula to calculate the induced emf is given by:
emf = B * L * v * sinθ
where:
B is the magnetic field flux density (given as 4.7 Tesla),
L is the length of the conductor (given as 400mm or 0.4m),
v is the velocity or speed of the conductor (given as 4 m/s), and
θ is the angle between the velocity vector and the magnetic field vector (given as 90 degrees since the conductor moves perpendicular to the magnetic field).
Now, substituting the given values into the formula:
emf = 4.7 * 0.4 * 4 * sin 90 degrees
sin 90 degrees is equal to 1, so the formula simplifies to:
emf = 4.7 * 0.4 * 4 * 1
emf = 7.52 volts
Therefore, the induced emf is 7.52 volts.