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https://texercises.com/exercise/deforming-loop-2/
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Exercise:
A square loop of wire with sides aO long is placed in a BO magnetic field with field lines perpicular to the loop area. The loop is then deformed until the area has decreased to one third of the initial value. During the deformation process the average voltage across the loop is measured to be VO. How long did the deformation process last?

Solution:
The magnetic flux change is given by DeltaPhi_m Phi_f-Phi_i B fracA-B A -frac B A -frac B a^ The average emf is then given by overlinemathcalE -fracDelta Phi_mDelta t frac Bfraca^Delta t Solving for the time erval Delta t leads to Delta t tF fractimesBtimesa^times V t approx resulttP
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Exercise:
A square loop of wire with sides aO long is placed in a BO magnetic field with field lines perpicular to the loop area. The loop is then deformed until the area has decreased to one third of the initial value. During the deformation process the average voltage across the loop is measured to be VO. How long did the deformation process last?

Solution:
The magnetic flux change is given by DeltaPhi_m Phi_f-Phi_i B fracA-B A -frac B A -frac B a^ The average emf is then given by overlinemathcalE -fracDelta Phi_mDelta t frac Bfraca^Delta t Solving for the time erval Delta t leads to Delta t tF fractimesBtimesa^times V t approx resulttP
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Magnetism
Tags
faraday law, induced emf
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Difficulty
(2, default)
Points
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Language
ENG (English)
Type
Calculative / Quantity
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