Calculating Magnetic Force: Equations for Moving Charges at Right Angles

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SUMMARY

The discussion focuses on calculating the magnetic force experienced by moving charges in a magnetic field using the formula F = qvB. A 3.60 mC charge moving at 862 m/s experiences a magnetic force of 0.00425 N, leading to a magnetic field strength of 1.37 T. Additionally, a 53.0 mC charge moving at 1300 m/s at an angle of 55 degrees to the magnetic field results in a magnetic force of 37.8 N. The correct application of the formula requires the use of the cross-product when the angle is not a right angle.

PREREQUISITES
  • Understanding of electromagnetic force equations
  • Familiarity with the concept of magnetic fields
  • Knowledge of charge, velocity, and their units
  • Basic understanding of vector mathematics for angles
NEXT STEPS
  • Study the application of the Lorentz force law in different scenarios
  • Learn about the cross-product in vector mathematics
  • Explore the effects of varying angles on magnetic force calculations
  • Investigate the implications of magnetic field strength in practical applications
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Physics students, electrical engineers, and anyone interested in the principles of electromagnetism and magnetic force calculations.

camel-man
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A 3.60 mC charge moving at 862 m/s travels at right angles to a magnetic field, and experiences a .00425 N magnetic force.

Find the strength of the magnetic field.

F = qvB (not sure if the right angle makes a difference in the equation.)

B= .00425 /(3.60x10^-6)(862) = 1.37 T

A 53.0 mC charge is now moving at 1300 m/s and 550 to the same magnetic field.

Find the magnetic force exerted on the second charge.

F = (53x10^-6C) (1300m/s)(550T) = 37.8 N

Does this look correct? Also, I am wondering what if the angle was not a right angle? how would that differ the equation I would use..
 
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F = qvB is true for a right angle between motion and magnetic field only, otherwise you need the cross-product of velocity and magnetic field.

A 53.0 mC charge is now moving at 1300 m/s and 550 to the same magnetic field.
And 550 what? Is that an angle? 55°?
F = (53x10^-6C) (1300m/s)(550T) = 37.8 N
The problem statement said you should use the magnetic field from the first subquestion. And 550T is not a reasonable field strength.
 
Ahh yes I'm sorry I copy and pasted it over and didn't realize it put a zero. It is 55 degrees. yes.
 

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