(A)-25% Three protons travel in a uniform magnetic fieldXxx x x at identical vel

Question

(A)-25% Three protons travel in a uniform magnetic fieldXxx x x at identical velocity magnitudes but different directions, as shown in the figure. Which proton XXxXXX (if any) will experience the highest magnetic field force and why? 45 (B)-25% A proton enters a uniform magnetic field as shown in the figure. In what direction will the proton move after it enters the magnetic field and why? xxt x X (C)-50% An electron accelerates from rest through potential V and enters a constant magnetic field of B1 T perpendicular to its velocity. The electron travels along a curved path of radius r-1.5 mm. What is the potential ? The mass and charge of the electron are 9.1 10-31 kg and-1.6-10-19 C

Explanation / Answer

a) F ( magnetic force) = q( B xV) or q( B V ) sin theta

sin theta is a max, when theta or angle between the magnetic field and direction of velocity is 90

only the proton in the center will experience max force because it's perpendicular to the magnetic field

b)magnetic field is directed in the paper ( k) , while the direction of the proton is along ( j)

F = q ( B x V) = q ( k x j)) = -i

proton will experience forec aqlong - x direction

c) mv^2/ r= qBv

mv/r = qB

v = ( q/m) ( B) r = ( 1.6 x 10^--19 / 9.1 x 10^-31 ) (1 ) (1.5 x 10^-3) =2.637 x 10^ 8 m/s

1/2 mv^2 = qV

0.5 ( 9.1 x 10^-31) ( 2.637 ^2 x 10^16) = 1.6 x 10^-19 ( V)

V= 19.7747 x 10^4 V

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.