Lenz's Law - Induced Magnetic Field/Current

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SUMMARY

The discussion focuses on the application of Lenz's Law to determine the direction of induced magnetic fields and currents in two coils. The coil connected to the battery generates a magnetic field from left to right (A2), while the induced magnetic field in the coil with the resistor is directed from right to left (B1). Consequently, the induced current in the resistor flows from b through R to a (C1). The correct combinations of answers are A2, B1, C1, and A2, B2, C2, based on the movement of the coils and the principles of electromagnetic induction.

PREREQUISITES
  • Understanding of Lenz's Law and its implications in electromagnetic induction.
  • Familiarity with the concepts of magnetic fields and current direction in coils.
  • Knowledge of basic circuit components, including resistors and batteries.
  • Ability to interpret and analyze diagrams related to electromagnetic systems.
NEXT STEPS
  • Study the principles of electromagnetic induction in depth, focusing on Lenz's Law.
  • Learn about the right-hand rule for determining the direction of magnetic fields and currents.
  • Explore the applications of Lenz's Law in real-world electromagnetic devices.
  • Investigate the effects of coil orientation and movement on induced currents in electrical circuits.
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Students studying electromagnetism, physics educators, and anyone interested in understanding the principles of induced currents and magnetic fields in electrical systems.

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Homework Statement



Two coils are suspended around a central axis as shown in the figure below. One coil is connected to a resistor with ends labeled a and b. The other coil is connected to a battery E The coils are moving relative to each other as indicated by the velocity vectors v. Use Lenz’s law to answer the following question concerning the direction of induced currents and magnetic fields.

1)The direction of the magnetic field in the coil with the battery attached is
A1: from right to left (\Leftarrow Bprimary).
A2: from left to right (Bprimary \Rightarrow).

2)The direction of the induced magnetic field in the coil with the resistor attached is
B1: from right to left (\Leftarrow Binduced).
B2: from left to right (Binduced \Rightarrow).

3)The direction of the induced current in resistor R is
C1: from b through R to a (\leftarrowI).
C2: from a through R to b (I\rightarrow).

Picture is attached.

1. A1, B1, C1 (<-- my guess, but incorrect)
2. A2, B1, C1
3. A1, B2, C1
4. A1, B2, C2
5. A2, B2, C1
6. A1, B1, C2
7. A2, B2, C2
8. A2, B1, C2

Homework Equations


None

The Attempt at a Solution



1) The coil with the battery, the current flows from + to -, and I have made the conclusion that the magnetic field goes from right to left since in a coil the current flows 'downwards' into the coil at the South pole of the field, and the current flows 'upward' out of the coil at the North pole of the field. I'm not sure if my speculation is correct though.

2) If what i said in question 1 is correct, then i can make the left end of the coil with the battery the "north pole" and the right end of the battery the "south pole". As the coils are moving away from each other, the induced magnetic field in the coil with the resistor attached would be towards the coil with the battery (right to left) as the (3) current should flow counterclockwise in the coil with the resistor (from b to a)

Apparently I'm making a mistake somewhere here as my answer was not correct.
 

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