Zero Induced EMF: Find Rate of B Change for Problem 9

AI Thread Summary
To achieve zero induced emf in the circuit when wire AB moves at 50.0 m/s, the magnetic field B must change at a rate of 300 T/s. The discussion revolves around understanding how the velocity of the wire and the magnetic field interact to affect induced emf. The key equations involved are emf = Blv and emf = change in flux/change in time, which must balance to yield a net emf of zero. Participants express confusion about how to reconcile the presence of velocity and electric field with the requirement for zero induced emf. Clarification is provided that the problem requires equating the opposing induced emfs mathematically.
CD135
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Homework Statement


Question I need help with: If wire AB of problem 9 moves with a velocity of 50.0 m/s to the right, at what rate should B change when the wire is at a distance of 5.00 cm from the left end of the loop, such that there will be no induced emf in the circuit? Answer: 300 T/s

Problem 9: (I don't know if this information is needed to solve the question above so I'm listing it here anyway)
The wire AB in the diagram moves to the right with a velocity of 25.0 cm/s. If l = 20.0 cm, B = 0.300 T, and the total resistance of the circuit is 50.0 Ω, find (a) the induced emf in wire AB, (b) the current flowing in the circuit, and (c) the direction of the current.Diagram is attatched

Homework Equations


emf=Blv
emf=change in flux/ change in time

The Attempt at a Solution


I don't understand this question. I have been trying for a very long time and I am very lost. If there is a velocity, electric field, and length, how could there ever be zero induced EMF? I was able to get question 9 as emf=Blv, very straight forward and I understand how the equation is derived. I'm clearly missing something here but I cannot figure out what.
 

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Any help would be appreciated. I cannot find any information online or in the textbook to help me come up with any sort of solution. Thank you in advance!
 
CD135 said:
emf=Blv
emf=change in flux/ change in time
These two emfs will be opposing each other such that resultant emf will be 0.
Write mathematical equations for each and simply equate them.
CD135 said:
at what rate should B change
This asks you about 'rate of change' of magnetic field. Ring any bells?
CD135 said:
Answer: 300 T/s
Right.
 
CD135 said:
(I don't know if this information is needed to solve the question above
CD135 said:
l = 20.0 cm, B = 0.300 T
This is needed.
 
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