explain the principle of the device which is used to move a conductor with constant velocity perpendicular to uniform megnetic field
Answers
Answer:
If we define a loop of wire, there are two ways in which the magnetic flux through that loop can change:
The magnetic field can change magnitude or direction, as we saw in Example 23.1.1.
The loop can change size or orientation relative to the magnetic field.
In this section, we examine the latter case, sometimes called “motional emf”, as the induced voltage is the result of motion from the loop in which the voltage is induced.
Explanation:
Answer:
Let us consider a straight conductor moving in a uniform and time-independent magnetic field.
The figure shows a rectangular wire PQRS in which the conductor PQ is free to move.
Rod PQ is moved towards the left with a constant velocity v.
PQRS forms closed circuit enclosing an area that changes as PQ moves.
It is placed in a uniform magnetic field B perpendicular to the plane of our system.
Let the length RQ =x and RS =l,
the magnetic flux ϕ
B
enclosed by the loop PQRS
ϕ
B
=Blx
As x is changing with time, the rate of change of flux ϕ
B
will induce an emf given according to Faraday's law of electromagnetic induction :
ϵ=−
dt
dϕ
B
=−
dt
d
(Blx)=−Blv
This induced emf Blv is motional emf.
solution