How Do You Calculate the Acceleration of an Electron in a Magnetic Field?

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Homework Help Overview

The discussion revolves around calculating the acceleration of an electron moving in a magnetic field, specifically focusing on the relationship between force, mass, and acceleration as described by Newton's second law.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the formula F=qvB to find the force on the electron and then relate it to acceleration using F=ma. There is a question about how to proceed without initially knowing the mass of the electron.

Discussion Status

Some participants have provided the mass of the electron and attempted to calculate acceleration, but discrepancies between their calculations and textbook answers have led to further questioning of the results. There is no explicit consensus on the correctness of the textbook answer.

Contextual Notes

Participants note that all electrons have approximately the same mass, which is a key assumption in their calculations. The discussion also highlights a potential issue with the accuracy of the textbook answer.

tnkfub
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An electron has a velocity of 5 x 10^6 m / s perpendicular to a magnetic field of 1.5 T. What force and acceleration does the elcetron experience?

ok i get the Force part by using F=qvB, how do i get the Acceleration?

F= 1.2x10^-12 N A= ?
 
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Remember Newton's second law? F=ma, F is force, m is mass, a is acceleration.
 
d_leet said:
Remember Newton's second law? F=ma, F is force, m is mass, a is acceleration.


i know this but how do i get the acceleration when i don't have the mass of the electron?
 
tnkfub said:
i know this but how do i get the acceleration when i don't have the mass of the electron?

electron mass = 9.10938188 × 10^-31 kilograms

All electrons have approx. the same mass.
 
ranger said:
electron mass = 9.10938188 × 10^-31 kilograms

All electrons have approx. the same mass.


f=ma, a = m/f , a = 9.1x10^-31 / 1.2x10^-12 = 7.6 x 10 - 19

the answer according to the back of the textbook is way different a = 1.32x10^18m/s^2

maybe the answer is wrong? in the book
 
Last edited:
tnkfub said:
f=ma, a = m/f , a = 9.1x10^-31 / 1.2x10^-12 = 7.6 x 10 - 19

the answer according to the back of the textbook is way different a = 1.32x10^18m/s^2


You solved for acceleration incorrectly.
 

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