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https://texercises.raemilab.ch/exercise/lenzs-law/
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Exercise:
abcliste abc The drawing shows a straight wire carrying a current I. Above the wire is a rectangular loop that contains a resistor R. If the current I is increasing in time what is the direction of the induced current through the resistor R? center includegraphicswidthmm#image_path:lenzs-law-circuit-a# center abc A rectangular loop contains a capacitor as in the figure below. The magnetic field through the loop is decreasing over time. Indicate the direction of the electric field between the plates of the capacitor. center includegraphicswidthmm#image_path:lenzs-law-circuit-b# center abcliste

Solution:
abcliste abc The magnetic field from the current I pos out of the drawing plan on the inside of the loop. According to Lenz's law the current induced in the loop has a direction that opposes the change of the magnetic flux so the magnetic field caused by the induced current in the loop should po in the opposite direction as that of the current I. This is the case if the current flows through the resistor from left to right. abc The induced current creates a magnetic field that tries to oppose the flux change caused by the decreasing magnetic field. This means that the current induced in the loop flows clockwise which leads to a positive charge on the top plate and a negative charge on the bottom plate of the capacitor. As a consequence the electric field in the capacitor pos downwards. abcliste
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Exercise:
abcliste abc The drawing shows a straight wire carrying a current I. Above the wire is a rectangular loop that contains a resistor R. If the current I is increasing in time what is the direction of the induced current through the resistor R? center includegraphicswidthmm#image_path:lenzs-law-circuit-a# center abc A rectangular loop contains a capacitor as in the figure below. The magnetic field through the loop is decreasing over time. Indicate the direction of the electric field between the plates of the capacitor. center includegraphicswidthmm#image_path:lenzs-law-circuit-b# center abcliste

Solution:
abcliste abc The magnetic field from the current I pos out of the drawing plan on the inside of the loop. According to Lenz's law the current induced in the loop has a direction that opposes the change of the magnetic flux so the magnetic field caused by the induced current in the loop should po in the opposite direction as that of the current I. This is the case if the current flows through the resistor from left to right. abc The induced current creates a magnetic field that tries to oppose the flux change caused by the decreasing magnetic field. This means that the current induced in the loop flows clockwise which leads to a positive charge on the top plate and a negative charge on the bottom plate of the capacitor. As a consequence the electric field in the capacitor pos downwards. abcliste
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Attributes & Decorations
Branches
Magnetism
Tags
electromagnetic induction, induced current
Content image
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Descriptive / Quality
Creator by
Decoration