Please refer again to Figure 2. Again, disregard the charge off to the right. This time, 11 = 8.48 A and 12 = 3.03 A; the separation between the wires is 3.34 cm. How far to the right of wire #1 will be total magnetic field due to both wires be equal to zero? ○ 4.18 cm O 2.46 cm O 1.72 cm O 3.20 cm

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**Diagram Explanation**

This diagram depicts two parallel wires and a charged particle near them. Here's a detailed explanation:

1. **Parallel Wires**:
   - Two vertical lines labeled as \( I_1 \) and \( I_2 \) represent two long, straight conductors carrying currents. The currents flow in the upward direction, indicated by arrows at the top of these lines.

2. **Charged Particle**:
   - A particle labeled as \( q \) is shown with an adjacent horizontal vector labeled \( v \), which represents the velocity of the charged particle. The vector points to the right, indicating the direction in which the particle is moving.

3. **Magnetic Fields**:
   - According to Ampère's and Biot–Savart's laws, each wire generates a magnetic field around it. The right-hand rule helps to determine the direction of these circular magnetic fields. For example, if the current is upward, the magnetic field circulates in a counterclockwise direction above the wire and in a clockwise direction below the wire.

4. **Force on the Charged Particle**:
   - The particle \( q \) moving with velocity \( v \) in a magnetic field experiences a force determined by the Lorentz force law. The direction of this force depends on the direction of the magnetic field and the charge of the particle.

This setup is commonly used to illustrate concepts such as magnetic fields due to currents, the interaction of magnetic fields with charged particles, and applications of the right-hand rule in physics.
Transcribed Image Text:**Diagram Explanation** This diagram depicts two parallel wires and a charged particle near them. Here's a detailed explanation: 1. **Parallel Wires**: - Two vertical lines labeled as \( I_1 \) and \( I_2 \) represent two long, straight conductors carrying currents. The currents flow in the upward direction, indicated by arrows at the top of these lines. 2. **Charged Particle**: - A particle labeled as \( q \) is shown with an adjacent horizontal vector labeled \( v \), which represents the velocity of the charged particle. The vector points to the right, indicating the direction in which the particle is moving. 3. **Magnetic Fields**: - According to Ampère's and Biot–Savart's laws, each wire generates a magnetic field around it. The right-hand rule helps to determine the direction of these circular magnetic fields. For example, if the current is upward, the magnetic field circulates in a counterclockwise direction above the wire and in a clockwise direction below the wire. 4. **Force on the Charged Particle**: - The particle \( q \) moving with velocity \( v \) in a magnetic field experiences a force determined by the Lorentz force law. The direction of this force depends on the direction of the magnetic field and the charge of the particle. This setup is commonly used to illustrate concepts such as magnetic fields due to currents, the interaction of magnetic fields with charged particles, and applications of the right-hand rule in physics.
Please refer again to Figure 2. Again, disregard the charge off to the right. This time, I₁ = 8.48 A and I₂ = 3.03 A; the separation between the wires is 3.34 cm. How far to the right of wire #1 will the total magnetic field due to both wires be equal to zero?

- ○ 4.18 cm
- ○ 2.46 cm
- ○ 1.72 cm
- ○ 3.20 cm
Transcribed Image Text:Please refer again to Figure 2. Again, disregard the charge off to the right. This time, I₁ = 8.48 A and I₂ = 3.03 A; the separation between the wires is 3.34 cm. How far to the right of wire #1 will the total magnetic field due to both wires be equal to zero? - ○ 4.18 cm - ○ 2.46 cm - ○ 1.72 cm - ○ 3.20 cm
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