Find the magnitude and direction of the force

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SUMMARY

The discussion centers on calculating the force on a +1.0 µC charge moving southward at 3.5 m/s in a 0.45 T magnetic field directed east. The correct formula used is F = qvB, resulting in a force magnitude of 1.575 x 10^-6 N. The direction of the force is determined using the Left Hand Rule, confirming that the force acts upwards. A common mistake noted was the incorrect application of the Right Hand Rule instead of the Left Hand Rule for this scenario.

PREREQUISITES
  • Understanding of electromagnetic force calculations using F = qvB
  • Familiarity with magnetic field concepts, specifically Tesla (T) units
  • Knowledge of the Right Hand Rule and Left Hand Rule for determining force direction
  • Basic principles of charge movement in magnetic fields
NEXT STEPS
  • Study the application of the Left Hand Rule in various electromagnetic scenarios
  • Explore advanced topics in electromagnetism, such as Lorentz force law
  • Learn about the effects of different charge magnitudes and velocities on force calculations
  • Investigate the implications of magnetic fields in practical applications, such as electric motors
USEFUL FOR

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

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Homework Statement



A 0.45 T magentic field points due east. Find the magnitude and direction of the force on a +1.0uC charge moving southward at 3.5 m/s?


Homework Equations



F= qvB
Right hand rule

The Attempt at a Solution



Using right hand rule, direction of the force is up

For mangnitude of the force:
F-qvB
=0.10 x 10^-6 x 3.5 x .45N
=1.575 x 10^-7N

IS this correct? Do I need to show anything else for the direction of the force ?
 
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The answer is 1.575 x 10-6 N
For some reason you used 0.1μC in the calculation instead of 1μC
But yes, the method is correct.
The direction of the force is given by the Left Hand Rule.
Pointer finger to the East - field
Centre finger points South - current
Thumb upwards - force
So "upwards" is correct but you used the wrong rule!
The Right Hand Rule is used to find the direction of the induced emf in a wire that is moved in a magnetic field.
The Left Hand Rule is used to find the direction of the force on a moving charge or current in a magnetic field.
 
Thank you so much.
 

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