Electric Field and Magnetic Field

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SUMMARY

The discussion centers on calculating the velocity of a charged particle moving in an electric field of 1220 N/C and a magnetic field of 1.19 T, resulting in a net force of 6.45E-3 N. The participant applied the equations F=qE and v=1/B(E-Fnet/q) to derive a velocity of 184.8 m/s. However, confusion arose regarding the direction of the velocity and the application of the right-hand rule, leading to uncertainty about the correctness of the answer. The participant's calculations are accurate, but the interpretation of direction may need clarification.

PREREQUISITES
  • Understanding of electric fields and forces (F=qE)
  • Knowledge of magnetic fields and their effects on moving charges (Lorentz force)
  • Familiarity with the right-hand rule for determining direction of forces
  • Basic algebra for manipulating equations involving forces and velocities
NEXT STEPS
  • Review the Lorentz force equation: netForce = qE - qvB
  • Study the right-hand rule in detail to clarify directionality of forces
  • Practice additional problems involving electric and magnetic fields to reinforce concepts
  • Explore the implications of velocity direction in the context of charged particle motion
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone involved in solving problems related to electric and magnetic fields.

mlsohani
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Homework Statement



A 6.45 uC particle moves through a region of space where an electric field of magnitude 1220 N/C points in the positive direction, and a magnetic field of magnitude 1.19 T points in the positive z direction. If the net force acting on the particle is 6.45E-3 N in the positive direction, calculate the magnitude of the particle's velocity. Assume the particle's velocity is in the x-y plane.

Homework Equations


F=qE
v=1/B(E-Fnet/q)



The Attempt at a Solution


This is what I did:
using F=qE: (6.45 e-6 C)(1220N/C)= 0.00787 N

Then using V=...
: (1/1.19T)(1220N/C - 6.45 E-3/6.45 e-6)= 184.8 m/s

BUT it keeps telling me my answer is wrong... do I have to put it in the negative direction?
 
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Where does your second equation come from? If we let the "positive direction" be the x-direction, which direction is the velocity pointing in?
 
The velocity will point in the negative Y direction according to the right hand rule.

The equation comes from:

netForce= qE-qvB

And when you plug all the values in i keep getting: 184.8 m/s but my computer says it is wrong.
 

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