### Problem Statement(a) A wire is held horizontally in a vacuum chamber and carries a current of 3.15 μA. A proton is traveling in a direction parallel to the wire (opposite the current) with a constant speed of \(2.70 \times 10^4 \, \text{m/s}\) at a distance \(d\) above the wire. Ignoring the magnetic field due to the Earth, determine the value of \(d\) (in cm).\[ \text{Distance (d)} = \_\_\_\_ \, \text{cm} \](b) **What If?** At what distance \(d\) (in m) would an electron moving with the same speed as the proton move parallel to the wire?\[ \text{Distance (d)} = \_\_\_\_ \, \text{m} \]### Direction of MotionWhat direction would the electron have to move?- ⃝ In the same direction as the proton.- ☑ In the opposite direction as the proton.- ⃝ There is too little information to determine the direction.#### Explanation- **Direction Choice**: The question asks about the electron's direction of motion in order to experience the same magnetic force conditions as the proton. The correct answer indicates that the electron must move in the opposite direction to maintain similar force dynamics due to its opposite charge.

field due to wire B = (uo/ 4 pi) 2 i / r = 10^-7* 2* 3.15* 10^-6 / d B = 6.3* 10^-13 / d Considering…

(a) A wire is held horizontally in a vacuum chamber, and carries a current of 3.15 µA. A proton is traveling in a direction parallel to the wire (opposite the current) with a constant speed of 2.70 x 10 m/s at a distance d above the wire. Ignoring the magnetic field due to the Earth, determine the value of d (in cm). cm (b) What If? At what distance d (in m) would an electron moving with the same speed as the proton move parallel to the wire?

(a) A wire is held horizontally in a vacuum chamber, and carries a current of 3.15 µA. A proton is traveling in a direction parallel to the wire (opposite the current) with a constant speed of 2.70 x 10 m/s at a distance d above the wire. Ignoring the magnetic field due to the Earth, determine the value of d (in cm). cm (b) What If? At what distance d (in m) would an electron moving with the same speed as the proton move parallel to the wire?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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