This time 11 = 8.78, 12 = 4.29 A, and the two wires are separated by 2.64 cm. Now consider the charge q = 7.16 x 10^-6 C, located a distance of 4.63 cm to the right of wire 12, moving to the right at speed v = 36.7 m/s. What is the magnitude of the total magnetic force on this charge? 5.60E-09 N 4.48E-09 N 2.69E-09 N 1.12E-08 N

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The image depicts a diagram related to electromagnetic interactions. It shows two vertical wires with current flowing upwards, labeled \( I_1 \) and \( I_2 \). To the right of the wires, there is a point labeled \( q \), representing a charged particle. An arrow labeled \( v \) extends rightward from \( q \), indicating the velocity of the charged particle.

This setup illustrates the magnetic interaction between currents and moving charges, commonly discussed in physics. The currents in the wires generate magnetic fields, which can exert force on the moving charged particle \( q \). This force depends on the direction of the velocity \( v \) and the currents \( I_1 \) and \( I_2 \), as per the right-hand rule in electromagnetism.
Transcribed Image Text:The image depicts a diagram related to electromagnetic interactions. It shows two vertical wires with current flowing upwards, labeled \( I_1 \) and \( I_2 \). To the right of the wires, there is a point labeled \( q \), representing a charged particle. An arrow labeled \( v \) extends rightward from \( q \), indicating the velocity of the charged particle. This setup illustrates the magnetic interaction between currents and moving charges, commonly discussed in physics. The currents in the wires generate magnetic fields, which can exert force on the moving charged particle \( q \). This force depends on the direction of the velocity \( v \) and the currents \( I_1 \) and \( I_2 \), as per the right-hand rule in electromagnetism.
This example discusses the effect of magnetic forces on a moving charge near two wires carrying currents. Given:

- Current in wire 1, \(I_1 = 8.78 \, \text{A}\)
- Current in wire 2, \(I_2 = 4.29 \, \text{A}\)
- The wires are separated by a distance of \(2.64 \, \text{cm}\).

Consider a charge \(q = 7.16 \times 10^{-6} \, \text{C}\) located \(4.63 \, \text{cm}\) to the right of wire \(I_2\), moving to the right at speed \(v = 36.7 \, \text{m/s}\).

The question is: What is the magnitude of the total magnetic force on this charge?

Choices for the magnetic force on the charge:

- \(5.60 \times 10^{-9} \, \text{N}\)
- \(4.48 \times 10^{-9} \, \text{N}\)
- \(2.69 \times 10^{-9} \, \text{N}\)
- \(1.12 \times 10^{-8} \, \text{N}\)

To find the magnitude of the total magnetic force, apply the formula for the magnetic force on a moving charge and consider the contributions from both wires.
Transcribed Image Text:This example discusses the effect of magnetic forces on a moving charge near two wires carrying currents. Given: - Current in wire 1, \(I_1 = 8.78 \, \text{A}\) - Current in wire 2, \(I_2 = 4.29 \, \text{A}\) - The wires are separated by a distance of \(2.64 \, \text{cm}\). Consider a charge \(q = 7.16 \times 10^{-6} \, \text{C}\) located \(4.63 \, \text{cm}\) to the right of wire \(I_2\), moving to the right at speed \(v = 36.7 \, \text{m/s}\). The question is: What is the magnitude of the total magnetic force on this charge? Choices for the magnetic force on the charge: - \(5.60 \times 10^{-9} \, \text{N}\) - \(4.48 \times 10^{-9} \, \text{N}\) - \(2.69 \times 10^{-9} \, \text{N}\) - \(1.12 \times 10^{-8} \, \text{N}\) To find the magnitude of the total magnetic force, apply the formula for the magnetic force on a moving charge and consider the contributions from both wires.
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