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Exercise:
The four voltage vs. time graphs to correspond to the four flux vs. time graphs A to D according to Faraday's law. Find the matching pairs and justify your solution. center includegraphicswidthtextwidth#image_path:faraday-law-diagrams-# center

Solution:
The induced emf corresponds to the negative derivative of the magnetic flux Faraday's law. We have to compare the variation of the slope in the flux diagrams to the values in the voltage diagrams. abcliste abc In graph A there are two time ervals with constant flux i.e. no induced emf. This corresponds to graph although there should be a sharp spike at the moment of the jump in the flux graph after two time units. abc The slope in graph B starts with a large negative value and continuously ts towards zero. This corresponds to the behaviour in graph . abc The flux in C reaches a minimum after two time units. This corresponds to a zero in the voltage graph. Before the slope is negative i.e. the voltage is positive after it is positive i.e. the voltage is negative. After three time units the flux increases linearly which corresponds to a constant voltage. This corresponds to graph . The fact that the voltage decreases linearly during the first three time units tells us that the flux is a quadratic function of time during this time erval. abc The flux in D has a constant negative slope during the first three time units. This corresponds to a constant positive voltage. After that the flux is constant which corresponds to zero voltage. This behaviour is given in graph . abcliste
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Exercise:
The four voltage vs. time graphs to correspond to the four flux vs. time graphs A to D according to Faraday's law. Find the matching pairs and justify your solution. center includegraphicswidthtextwidth#image_path:faraday-law-diagrams-# center

Solution:
The induced emf corresponds to the negative derivative of the magnetic flux Faraday's law. We have to compare the variation of the slope in the flux diagrams to the values in the voltage diagrams. abcliste abc In graph A there are two time ervals with constant flux i.e. no induced emf. This corresponds to graph although there should be a sharp spike at the moment of the jump in the flux graph after two time units. abc The slope in graph B starts with a large negative value and continuously ts towards zero. This corresponds to the behaviour in graph . abc The flux in C reaches a minimum after two time units. This corresponds to a zero in the voltage graph. Before the slope is negative i.e. the voltage is positive after it is positive i.e. the voltage is negative. After three time units the flux increases linearly which corresponds to a constant voltage. This corresponds to graph . The fact that the voltage decreases linearly during the first three time units tells us that the flux is a quadratic function of time during this time erval. abc The flux in D has a constant negative slope during the first three time units. This corresponds to a constant positive voltage. After that the flux is constant which corresponds to zero voltage. This behaviour is given in graph . abcliste
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Attributes & Decorations
Branches
Magnetism
Tags
derivative, electromagnetic induction, faraday law, induced emf
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Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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Decoration