Consider this diagram: Where there is a singular wire above a rectangular loop a
ID: 3278851 • Letter: C
Question
Consider this diagram:
Where there is a singular wire above a rectangular loop as shown in the first figure.
Let's consider two cases; A) Where the current carrying wire above is going to change it's position, as shown here:
For this case, my analysis is the following: As the wire begins to accelerate to the +x-axis, there is an induced emf due to the Lorentz force acting on the free charges in the loop below. Is this correct?
Also, the horizontal segments of the loop will have an induced emf, however, will not contribute to the flow of current, only the vertical wires of the loop will generate an induced emf that will contribute to induced current, therefore, the induced emf = -vBL
Where
v: is the velocity of the current carrying wire moving away from the loop.
B: is the magnetic field of the current carrying wire.
L: Is the length of only the vertical component (or wires) of the rectangular loop.
Is the analysis above correct?
For the second case, B) The magnetic field is changing, by the varying on the current within the wire above the rectangular loop:
Now, for this case the magnetic field is changing, the net-induced emf and induced current in this case is zero.
My intuition is that none of the wires (of the rectangular loop) can produce the same pattern of magnetic field of its current flow.
Is the analysis above correct?
Please verify my understanding, I’m not 100% confident.
Current Carrying Wire Rec. LoopExplanation / Answer
A : Had this wire been of infinte length, there is no change in B.
But here, as current carrying wire is of finite length, on accelerating it in x direction, Magnetic flux linked to loop changes and thus Emf is induced.
Motionl emf: Emf that is established when charges move in Magnetic field and as a result of Lorentz forces on moving charges.
Here charges in loop are at rest, there fore no motional emf.
B:
This Emf is induced due to changing Magnetic flux,which can be due to any reason i.e varying B, changing area of loop.
There is no Motional emf in case B as loop is at rest.
Its varying Flux that induces magnetic field in both cases.