[101] Magnetic field strength in fN

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SUMMARY

The discussion focuses on calculating the magnetic force experienced by an electron moving through a magnetic field of 0.01 T directed North. The force is determined using the formula F=qVxB, where q is the charge of the electron and V is its velocity. The resulting force is expressed in femtoNewtons (fN), with the conversion from Tesla to fN being a critical step in the calculation. Additionally, the acceleration of the electron can be derived using F=ma, where the mass of the electron is referenced from the textbook.

PREREQUISITES
  • Understanding of electromagnetic force equations, specifically F=qVxB
  • Knowledge of magnetic field strength in Tesla (T)
  • Familiarity with the mass of an electron and its value
  • Basic principles of motion and acceleration (F=ma)
NEXT STEPS
  • Calculate the magnetic force on a charged particle using F=qVxB
  • Convert magnetic field strength from Tesla to femtoNewtons
  • Learn about the Lorentz force and its applications in physics
  • Explore the relationship between magnetic fields and particle motion
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in the dynamics of charged particles in magnetic fields.

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[SOLVED] [101] Magnetic field strength in fN

Homework Statement



You have arranged that the magnetic field in a particular region of space is due North with a value of 0.01 T. An electron enters the field traveling to the West with a speed of 0.05 of the speed of light. As a result, the electron experiences a magnetic force which is upwards.

(a) What is the strength of this magnetic force, in fN? (NOTE: The "f" stands for "femto", which is 10-15.)



(b) What is the amount of the resulting acceleration of the electron? (NOTE: Get the mass of an electron from the inside back cover of your textbook.)



Homework Equations


B=.01T
B=2ki/c^2r

F=ma


The Attempt at a Solution


B will be very strait forward once I have answered a. I already know the strength of the magnetic force (B) in Tesla. So, it seems that I just need to convert tesla to femto Newtons. Can someone lead me in the right direction?

I am not very familiar with this concept.

Thank you SO much!
 
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Tesla is a measure of magnetic field strength, not force. For a charged particle moving through a magnetic field, the force it feels is given by F=qVxB where q is the charge on the particle, V is its velocity, and B is the magnetic field. The x indicates cross product. Again, the Tesla value is a FIELD strength, not a force.
 

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