Wire & Compass Homework: Effects of Distance & Series Batteries

In summary, when the wire is lowered farther from the compass, the new angle of deflection of the north pole of the compass needle is smaller compared to its initial deflection. When a second identical battery is connected in series with the first one, the new angle of deflection of the north pole of the compass needle is bigger compared to its initial deflection. This is due to the increased magnetic field produced by the doubled current.
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cse63146
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Homework Statement



You are looking straight down on a magnetic compass that is lying flat on a table. A wire is stretched horizontally under the table, parallel to and a short distance below the compass needle. The wire is then connected to a battery so that a current flows through the wire. This current causes the north pole of the compass needle to deflect to the left. The questions that follow ask you to compare the effects of different actions on this initial deflection.

Part A: If the wire is lowered farther from the compass, how does the new angle of deflection of the north pole of the compass needle compare to its initial deflection?

i) It is Smaller
ii) It is unchanged
iii) It is bigger

Part B: With the wire back at its initial location, you connect a second identical battery in series with the first one. When you close the switch, how does the new angle of deflection of the north pole of the compass needle compare to its initial deflection?

i) It is Smaller
ii) It is unchanged
iii) It is bigger

Homework Equations



B = [tex]\frac{(\mu_0)qvsin\vartheta}{4(\pi)r^2}[/tex]

The Attempt at a Solution



I got the answer for part A (it is smaller) since the distance between the wire and the compass increases, the magnetic field produced by the wire weakens. Therefore, the north pole of the compass needle will deflect away from its original direction (determined by the magnetic field of the earth) by a smaller angle.

For Part B I believe the answer would be "It is bigger" since v = 2v (since it's in series), which would increase the magnetic field and thus produced a bigger angle.

Am I right?
 
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  • #2
cse63146 said:
Am I right?
Yep, you got it
 

Related to Wire & Compass Homework: Effects of Distance & Series Batteries

1. What is the purpose of the wire and compass homework?

The purpose of this homework is to investigate the effects of distance and series batteries on the strength of an electromagnet. This helps to understand the relationship between electrical current, distance, and magnetic fields.

2. How do you set up the wire and compass experiment?

To set up the experiment, you will need a wire, a compass, and a power source (such as batteries). First, wrap the wire around a cylindrical object to create a coil. Then, connect the wire to the power source and place the compass near the coil. Make sure the wire is parallel to the compass needle. Finally, vary the distance between the wire and compass to observe the effects on the compass needle.

3. What is the significance of using series batteries in this experiment?

In this experiment, series batteries are used to increase the current flowing through the wire. This allows for a stronger magnetic field to be produced, making it easier to observe the effects of distance on the compass needle. Additionally, using series batteries ensures a consistent flow of current, making the results more reliable.

4. What factors can affect the strength of the electromagnet in this experiment?

The strength of the electromagnet can be affected by several factors, such as the number of series batteries used, the distance between the wire and compass, the thickness of the wire, and the material of the wire. Additionally, the strength of the magnetic field also depends on the type of power source used and the strength of the Earth's magnetic field in the location where the experiment is conducted.

5. How does this experiment relate to real-world applications?

The concepts learned in this experiment have many real-world applications. For example, the strength of an electromagnet can be adjusted by changing the distance between the wire and the object it is attracting or repelling. This is used in various devices such as speakers, motors, and generators. Additionally, understanding the relationship between distance and magnetic fields is important in applications such as wireless charging and magnetic levitation.

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