1) The ratio between the number of turns of the two electromagnets is 2
2) The ratio between the number of paper clips picked up is 2.2
Explanation:
1)
An electromagnet is a device consisting of a coil of wire wrapped around an iron core. Such a device is able to create a magnetic field, and in this problem this is used to attract and pick up the paper clips.
In this problem, we have two electromagnets:
- The first one has 50 turns
- The second one has 25 turns
Therefoore, the ratio of the number of turns of the 50-turn electromagnet to the number of turns of the 25-coil electromagnet is:
[tex]\frac{N_1}{N_2}=\frac{50}{25}=2[/tex]
2)
The strength of the magnetic field produced by an electromagnet is directly proportional to the number of turns in the coil wrapped on the electromagnet:
[tex]B\propto N[/tex]
This means that the electromagnet with more turns will produce a stronger magnetic field, and therefore it will be able to pickup more paper clips.
In this problem, in fact:
- The electromagnet with 50 turns can pick up 13 paper clips
- The electromagnet with 25 turns picks up 6 paper clips
Therefore, the ratio of the number of paper clips picked up is:
[tex]\frac{p_1}{p_2}=\frac{13}{6}=2.2[/tex]
And we see that this ratio is approximately equal to the ratio of the number of turns, which is 2.
Learn more about magnetic fields:
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