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1 multiple choice 2 points a student coils a bare copper wire around a …

Question

1 multiple choice 2 points
a student coils a bare copper wire around a metal rod and attaches the ends of the wire to an ampmeter. he quickly moves a magnet past the coil and notes the resulting current. how could the student alter this apparatus to create a larger current?
use thinner wire
use insulated wire
increase the length of the rod that is used
increase the number of times the wire is coiled around the rod
2 multiple choice 2 points
in which case would it take the most effort to make points 1 and 2 on the magnets touch each other?

Explanation:

Question 1
Brief Explanations

According to Faraday's law of electromagnetic induction, the induced electromotive force (emf) in a coil is given by $\mathcal{E}=-N\frac{\Delta\Phi}{\Delta t}$, where $N$ is the number of turns in the coil and $\Delta\Phi$ is the change in magnetic flux. The current $I = \frac{\mathcal{E}}{R}$ (where $R$ is the resistance of the circuit). Increasing the number of turns $N$ (by coiling the wire more times around the rod) will increase the induced emf and thus the current (assuming resistance changes are negligible compared to the change in $N$).

  • Using thinner wire would increase the resistance $R$ (since $R=

ho\frac{l}{A}$, where $
ho$ is resistivity, $l$ is length, and $A$ is cross - sectional area; thinner wire has smaller $A$), and by $I=\frac{\mathcal{E}}{R}$, this would decrease the current.

  • Using insulated wire doesn't change the magnetic flux change or the number of turns in a way that would increase the induced current (the key for induction is the change in magnetic flux through the loop, and insulation doesn't affect the flux linkage in a beneficial way for current increase here).
  • Increasing the length of the rod doesn't directly affect the number of turns per unit length (if the wire is just coiled around a longer rod without increasing the number of turns, it won't increase the flux linkage per unit time in a way that increases the induced current).
Brief Explanations

Magnets have the property that like poles repel and unlike poles attract. We need to find the case where the force between points 1 and 2 is repulsive (since repulsive forces require effort to bring the magnets together).

  • For the first option: Point 1 is $S$ (from $N - S$ magnet) and point 2 is $N$ (from $N - S$ magnet). $S$ and $N$ attract.
  • For the second option: Point 1 is $N$ (from $S - N$ magnet) and point 2 is $N$ (from $S - N$ magnet). Like poles ($N - N$) repel.
  • For the third option: Point 1 is $N$ and point 2 is $N$. Like poles ($N - N$) repel. But the magnetic field strength at the end of a bar magnet is stronger. In a bar magnet, the poles are at the ends. When we consider the configuration in the second option (where the "poles" at points 1 and 2 are more "concentrated" as they are at the ends of the bar - like magnet configuration compared to the third option where the magnets are shorter in the direction of the poles at points 1 and 2), the repulsive force is stronger.
  • For the fourth option: Point 1 is $N$ and point 2 is $S$. They attract.

Answer:

increase the number of times the wire is coiled around the rod

Question 2