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Positive point charges q = 8.00 µC and q' = 4.00 µC are moving relative to an observer at point P, as shown in the figure (Eigure 1). The distance d is 0.120 m , v = 4.50x106 m/s , and v' = 9.00x106 m/s. Part A When the two charges are at the locations shown in the figure, what is the magnitude of the net magnetic field they produce at point P? Express your answer in teslas. Figure < 1 of 1 > B = T Part B P What is the direction of the net magnetic field at point P? d O into the page U' O out of the page + a'

Positive point charges q = 8.00 µC and q' = 4.00 µC are moving relative to an observer at point P, as shown in the figure (Eigure 1). The distance d is 0.120 m , v = 4.50x106 m/s , and v' = 9.00x106 m/s. Part A When the two charges are at the locations shown in the figure, what is the magnitude of the net magnetic field they produce at point P? Express your answer in teslas. Figure < 1 of 1 > B = T Part B P What is the direction of the net magnetic field at point P? d O into the page U' O out of the page + a'

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### Educational Content: Magnetic Fields from Moving Charges **Overview:** This educational content explores the concept of magnetic fields produced by moving point charges. The provided example focuses on calculating the magnitude and direction of the net magnetic field at a specific point due to two moving charges. **Scenario Description:** - Two positive point charges, \( q = 8.00 \, \mu \text{C} \) and \( q' = 4.00 \, \mu \text{C} \), are moving relative to an observer at point \( P \). - The layout and motion of the charges are depicted in the accompanying figure. **Parameters Given:** - The distance \( d \) from each charge to point \( P \) is 0.120 m. - Charge \( q \) moves with a velocity \( v = 4.50 \times 10^6 \, \text{m/s} \). - Charge \( q' \) moves in the opposite direction with a velocity \( v' = 9.00 \times 10^6 \, \text{m/s} \). **Figure Explanation:** - The figure displays two charges, positioned vertically with respect to point \( P \). - Charge \( q \) is located above point \( P \), moving to the right (east direction). - Charge \( q' \) is located below point \( P \), moving to the left (west direction). **Questions to Solve:** **Part A:** - Calculate the magnitude of the net magnetic field at point \( P \) when the two charges are at the specified locations. - Express your answer in teslas (T). **Part B:** - Determine the direction of the net magnetic field at point \( P \). - Possible directions are either "into the page" or "out of the page." This example serves to enhance understanding of the magnetic fields generated by moving charges and the principles governing their calculation and direction. Make sure to use appropriate formulas and the right-hand rule to solve the given problems.
Transcribed Image Text:### Educational Content: Magnetic Fields from Moving Charges **Overview:** This educational content explores the concept of magnetic fields produced by moving point charges. The provided example focuses on calculating the magnitude and direction of the net magnetic field at a specific point due to two moving charges. **Scenario Description:** - Two positive point charges, \( q = 8.00 \, \mu \text{C} \) and \( q' = 4.00 \, \mu \text{C} \), are moving relative to an observer at point \( P \). - The layout and motion of the charges are depicted in the accompanying figure. **Parameters Given:** - The distance \( d \) from each charge to point \( P \) is 0.120 m. - Charge \( q \) moves with a velocity \( v = 4.50 \times 10^6 \, \text{m/s} \). - Charge \( q' \) moves in the opposite direction with a velocity \( v' = 9.00 \times 10^6 \, \text{m/s} \). **Figure Explanation:** - The figure displays two charges, positioned vertically with respect to point \( P \). - Charge \( q \) is located above point \( P \), moving to the right (east direction). - Charge \( q' \) is located below point \( P \), moving to the left (west direction). **Questions to Solve:** **Part A:** - Calculate the magnitude of the net magnetic field at point \( P \) when the two charges are at the specified locations. - Express your answer in teslas (T). **Part B:** - Determine the direction of the net magnetic field at point \( P \). - Possible directions are either "into the page" or "out of the page." This example serves to enhance understanding of the magnetic fields generated by moving charges and the principles governing their calculation and direction. Make sure to use appropriate formulas and the right-hand rule to solve the given problems.
**Part C** What is the magnitude of the electric force that each charge exerts on the other? **Express your answer in newtons.** \[ F_C = \, \_\_ \, \text{N} \] **Part D** What is the direction of the electric force that each charge exerts on the other? - ○ The force on the upper charge points up. - ○ The force on the upper charge points down.
Transcribed Image Text:**Part C** What is the magnitude of the electric force that each charge exerts on the other? **Express your answer in newtons.** \[ F_C = \, \_\_ \, \text{N} \] **Part D** What is the direction of the electric force that each charge exerts on the other? - ○ The force on the upper charge points up. - ○ The force on the upper charge points down.
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