Question
1. A current-carrying wire carries a current of 1.84 A. How far away from the wire is point P if the magnetic field at that location is 6.88 x 10-6 T?
0.535 A
0.747 A
0.0747 A
0.0535 A
2. What is the current that is flowing through a wire that has a magnetic field strength of 8.20 x 10-4 T at a distance of 0.00500 m from the wire?
2.05 A
18.9 A
1.89 A
20.5 A
3. Which of the following is true about an electromagnet? Select all that apply.
Decreasing the current flowing through the wire makes a stronger magnet.
Decreasing the number of coils around the core makes a strong magnet.
Increasing the current flowing through the wire makes a strong magnet.
Adding more coils around the core makes a stronger magnet.
4. Which of the following electromagnet will have the strongest force?
A battery with 15 loops of wire around the nail.
A battery with 10 loops of wire around the nail.
A battery with no loops of wire around the nail.
A battery with 3 loops of wire around the nail.
5. What was Hans Christian Oersted most known for?
showing that the direction a current flows if from the positive terminal to the negative terminal
showing that a current-carrying wire emitted a magnetic field
showing that a magnet created an electric force on a charged particle
showing that the direction of the magnetic field is defined by the right-hand rule
6. The strength of the magnetic field around a current-carrying wire is directly proportional to:
the current through the wire
the distance from the wire
the square of the current through the wire
the square of the distance from the wire
7.
What are the advantages of an electromagnet over a regular magnet? Select all that apply.
You can switch the location of the poles.
You can turn the magnet off and on.
You can cut it in half and have two magnets.
You can increase the strength of the magnet.
8. The magnetic field inside a solenoid resembles that of a:
a u-shaped magnet
electric generator
electric motor
a bar magnet
9.
A current-carrying wire carries a current of 1.20 A. What is the magnitude of the magnetic field at point P, 0.042 meters away from the wire?
5.71 x 10-5 T
7.00 x 10-9 T
7.00 x 10-8 T
5.71 x 10-6 T
10. In an electromagnet that is made up of a D-cell battery with wire wrapped around an iron nail, the ends of the wire being to each of the two terminals of the battery, what is the core of the electromagnet?
wire
tape
D-cell battery
iron nail
0.535 A
0.747 A
0.0747 A
0.0535 A
2. What is the current that is flowing through a wire that has a magnetic field strength of 8.20 x 10-4 T at a distance of 0.00500 m from the wire?
2.05 A
18.9 A
1.89 A
20.5 A
3. Which of the following is true about an electromagnet? Select all that apply.
Decreasing the current flowing through the wire makes a stronger magnet.
Decreasing the number of coils around the core makes a strong magnet.
Increasing the current flowing through the wire makes a strong magnet.
Adding more coils around the core makes a stronger magnet.
4. Which of the following electromagnet will have the strongest force?
A battery with 15 loops of wire around the nail.
A battery with 10 loops of wire around the nail.
A battery with no loops of wire around the nail.
A battery with 3 loops of wire around the nail.
5. What was Hans Christian Oersted most known for?
showing that the direction a current flows if from the positive terminal to the negative terminal
showing that a current-carrying wire emitted a magnetic field
showing that a magnet created an electric force on a charged particle
showing that the direction of the magnetic field is defined by the right-hand rule
6. The strength of the magnetic field around a current-carrying wire is directly proportional to:
the current through the wire
the distance from the wire
the square of the current through the wire
the square of the distance from the wire
7.
What are the advantages of an electromagnet over a regular magnet? Select all that apply.
You can switch the location of the poles.
You can turn the magnet off and on.
You can cut it in half and have two magnets.
You can increase the strength of the magnet.
8. The magnetic field inside a solenoid resembles that of a:
a u-shaped magnet
electric generator
electric motor
a bar magnet
9.
A current-carrying wire carries a current of 1.20 A. What is the magnitude of the magnetic field at point P, 0.042 meters away from the wire?
5.71 x 10-5 T
7.00 x 10-9 T
7.00 x 10-8 T
5.71 x 10-6 T
10. In an electromagnet that is made up of a D-cell battery with wire wrapped around an iron nail, the ends of the wire being to each of the two terminals of the battery, what is the core of the electromagnet?
wire
tape
D-cell battery
iron nail
Answers
Answered by
GPT-4o mini
Let's address each question in turn:
1. **Current and Magnetic Field Distance**: The magnetic field \( B \) around a long straight wire is given by the formula:
\[
B = \frac{{\mu_0 I}}{{2 \pi r}}
\]
where \( \mu_0 \) is the permeability of free space \((4\pi \times 10^{-7} \, \text{T m/A})\), \( I \) is the current in amperes, and \( r \) is the distance from the wire in meters.
Rearranging the formula gives us:
\[
r = \frac{{\mu_0 I}}{{2 \pi B}}
\]
Plugging in the given values \( I = 1.84 \, \text{A} \) and \( B = 6.88 \times 10^{-6} \, \text{T} \):
\[
r = \frac{{(4\pi \times 10^{-7}) (1.84)}}{{2\pi (6.88 \times 10^{-6})}} \approx 0.0535 \, \text{m}
\]
So the answer is **0.0535 A**.
2. **Current and Magnetic Field**: Using the same formula as in question 1, we rearrange the equation for \( I \):
\[
I = \frac{{2 \pi B r}}{{\mu_0}}
\]
Substitute \( B = 8.20 \times 10^{-4} \, \text{T} \) and \( r = 0.00500 \, \text{m} \):
\[
I = \frac{{2 \pi (8.20 \times 10^{-4}) (0.00500)}}{{4\pi \times 10^{-7}}} \approx 2.05 \, \text{A}
\]
So the answer is **2.05 A**.
3. **Electromagnet Characteristics**: The correct statements about electromagnets are:
- **Increasing the current flowing through the wire makes a strong magnet.**
- **Adding more coils around the core makes a stronger magnet.**
Hence, the answers are those two options.
4. **Strongest Electromagnet**: The strongest force will be produced by the configuration with:
- **A battery with 15 loops of wire around the nail.**
This is due to the relationship between the number of loops and the magnetic field strength.
5. **Hans Christian Oersted**: Oersted is most known for:
- **showing that a current-carrying wire emitted a magnetic field.**
6. **Magnetic Field Strength**: The strength of the magnetic field around a current-carrying wire is directly proportional to:
- **the current through the wire.**
7. **Advantages of Electromagnets**: The advantages are:
- **You can switch the location of the poles.**
- **You can turn the magnet off and on.**
- **You can increase the strength of the magnet.**
8. **Magnetic Field Inside a Solenoid**: The magnetic field inside a solenoid resembles that of:
- **a bar magnet.**
9. **Magnetic Field Calculation**: Using the formula again for a current of 1.20 A at a distance of 0.042 m:
\[
B = \frac{{\mu_0 I}}{{2 \pi r}}
\]
\[
B = \frac{{(4\pi \times 10^{-7}) \times 1.20}}{{2\pi \times 0.042}} \approx 5.71 \times 10^{-6} \, \text{T}
\]
So the answer is **5.71 x 10^-6 T**.
10. **Core of the Electromagnet**: In the described electromagnet setup, the core is:
- **iron nail**.
Let me know if you need any more information or assistance!
1. **Current and Magnetic Field Distance**: The magnetic field \( B \) around a long straight wire is given by the formula:
\[
B = \frac{{\mu_0 I}}{{2 \pi r}}
\]
where \( \mu_0 \) is the permeability of free space \((4\pi \times 10^{-7} \, \text{T m/A})\), \( I \) is the current in amperes, and \( r \) is the distance from the wire in meters.
Rearranging the formula gives us:
\[
r = \frac{{\mu_0 I}}{{2 \pi B}}
\]
Plugging in the given values \( I = 1.84 \, \text{A} \) and \( B = 6.88 \times 10^{-6} \, \text{T} \):
\[
r = \frac{{(4\pi \times 10^{-7}) (1.84)}}{{2\pi (6.88 \times 10^{-6})}} \approx 0.0535 \, \text{m}
\]
So the answer is **0.0535 A**.
2. **Current and Magnetic Field**: Using the same formula as in question 1, we rearrange the equation for \( I \):
\[
I = \frac{{2 \pi B r}}{{\mu_0}}
\]
Substitute \( B = 8.20 \times 10^{-4} \, \text{T} \) and \( r = 0.00500 \, \text{m} \):
\[
I = \frac{{2 \pi (8.20 \times 10^{-4}) (0.00500)}}{{4\pi \times 10^{-7}}} \approx 2.05 \, \text{A}
\]
So the answer is **2.05 A**.
3. **Electromagnet Characteristics**: The correct statements about electromagnets are:
- **Increasing the current flowing through the wire makes a strong magnet.**
- **Adding more coils around the core makes a stronger magnet.**
Hence, the answers are those two options.
4. **Strongest Electromagnet**: The strongest force will be produced by the configuration with:
- **A battery with 15 loops of wire around the nail.**
This is due to the relationship between the number of loops and the magnetic field strength.
5. **Hans Christian Oersted**: Oersted is most known for:
- **showing that a current-carrying wire emitted a magnetic field.**
6. **Magnetic Field Strength**: The strength of the magnetic field around a current-carrying wire is directly proportional to:
- **the current through the wire.**
7. **Advantages of Electromagnets**: The advantages are:
- **You can switch the location of the poles.**
- **You can turn the magnet off and on.**
- **You can increase the strength of the magnet.**
8. **Magnetic Field Inside a Solenoid**: The magnetic field inside a solenoid resembles that of:
- **a bar magnet.**
9. **Magnetic Field Calculation**: Using the formula again for a current of 1.20 A at a distance of 0.042 m:
\[
B = \frac{{\mu_0 I}}{{2 \pi r}}
\]
\[
B = \frac{{(4\pi \times 10^{-7}) \times 1.20}}{{2\pi \times 0.042}} \approx 5.71 \times 10^{-6} \, \text{T}
\]
So the answer is **5.71 x 10^-6 T**.
10. **Core of the Electromagnet**: In the described electromagnet setup, the core is:
- **iron nail**.
Let me know if you need any more information or assistance!
There are no human answers yet. A form for humans to post answers is coming very soon!