Please refer to Figure 2 included in this folder. For the moment please disregard the moving charge off to the right. The diagram above shows segments of two long straight wires, carrying currents I_1 = 5.95 A and I_2 = 1.08 A respectively. The distance between the wires is 1.40 cm. What is the force on a 5.52-cm segment of wire #2 due to the magnetic field from wire #1?     9.63E-06 N     5.07E-06 N     2.54E-06 N     7.61E-06 N

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Please refer to Figure 2 included in this folder. For the moment please disregard the moving charge off to the right. The diagram above shows segments of two long straight wires, carrying currents I_1 = 5.95 A and I_2 = 1.08 A respectively. The distance between the wires is 1.40 cm. What is the force on a 5.52-cm segment of wire #2 due to the magnetic field from wire #1?
   
9.63E-06 N
   
5.07E-06 N
   
2.54E-06 N
   
7.61E-06 N
The image illustrates two vertical parallel currents and a moving charged particle, accompanied by the following components:

1. **Two Vertical Arrows with Labels:**
   - **\(I_1\):** The first arrow, on the left, represents a current flowing upwards. 
   - **\(I_2\):** The second arrow, on the right, similarly represents a current flowing upwards.

2. **Moving Charged Particle:**
   - **\(q\):** Located near the second current (\(I_2\)), this denotes a charged particle.
   - **Velocity (\(v\)):** An arrow pointing to the right shows the direction of the particle's velocity.

This diagram is often used to analyze the magnetic forces and fields generated by parallel currents and their effect on adjacent charged particles. The interaction between the moving charge and the current-carrying wires can be explored using the principles of electromagnetism, such as the Biot-Savart Law or Lorentz Force Law.
Transcribed Image Text:The image illustrates two vertical parallel currents and a moving charged particle, accompanied by the following components: 1. **Two Vertical Arrows with Labels:** - **\(I_1\):** The first arrow, on the left, represents a current flowing upwards. - **\(I_2\):** The second arrow, on the right, similarly represents a current flowing upwards. 2. **Moving Charged Particle:** - **\(q\):** Located near the second current (\(I_2\)), this denotes a charged particle. - **Velocity (\(v\)):** An arrow pointing to the right shows the direction of the particle's velocity. This diagram is often used to analyze the magnetic forces and fields generated by parallel currents and their effect on adjacent charged particles. The interaction between the moving charge and the current-carrying wires can be explored using the principles of electromagnetism, such as the Biot-Savart Law or Lorentz Force Law.
Expert Solution
Step 1

Given quantities:

Current in first wire (I1) = 5.95 A

current in second wire (I2) = 1.08 A

distance between the wires (r) = 1.40 cm

Length of the second wire (L) = 5.52 cm

 

Let, the force experienced by the second wire be denoted by 'F' 

Now, the formula that gives the force between two parallel current carrying wires is :

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