A negatively charged ion at point A has a speed vo of 1.4x10ª m/s. Find the magnitude and direction of the magnetic field that will cause the ion to follow the semicircular path from A to B if it has a mass of 2.5x1025 kg (approximately the mass of a Uranium ion), and is charged with one excess electron. A 10.0 cm-

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### Problem Statement

A negatively charged ion at point A has a speed \( v_0 = 1.4 \times 10^4 \, \text{m/s} \). Find the magnitude and direction of the magnetic field that will cause the ion to follow the semicircular path from A to B if it has a mass of \( 2.5 \times 10^{-25} \, \text{kg} \) (approximately the mass of a Uranium ion), and is charged with one excess electron.

### Diagram Explanation

- **Ion Path**: The diagram shows a semicircular path from point A to point B, indicating the ion's trajectory due to the magnetic field.
- **Velocity Vector (\( v_0 \))**: At point A, the velocity vector is shown as green and directed vertically upwards.
- **Radius**: The distance between points A and B is shown as 10.0 cm.
- **Charge Representation**: The ion is depicted with a negative charge symbol at point A.

The task is to determine the magnetic field characteristics that maintain this semicircular motion.
Transcribed Image Text:### Problem Statement A negatively charged ion at point A has a speed \( v_0 = 1.4 \times 10^4 \, \text{m/s} \). Find the magnitude and direction of the magnetic field that will cause the ion to follow the semicircular path from A to B if it has a mass of \( 2.5 \times 10^{-25} \, \text{kg} \) (approximately the mass of a Uranium ion), and is charged with one excess electron. ### Diagram Explanation - **Ion Path**: The diagram shows a semicircular path from point A to point B, indicating the ion's trajectory due to the magnetic field. - **Velocity Vector (\( v_0 \))**: At point A, the velocity vector is shown as green and directed vertically upwards. - **Radius**: The distance between points A and B is shown as 10.0 cm. - **Charge Representation**: The ion is depicted with a negative charge symbol at point A. The task is to determine the magnetic field characteristics that maintain this semicircular motion.
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