SUMMARY
The magnitude of the magnetic field B for a current-carrying wire can be calculated using the formula F = BILsin(θ). In the discussed scenario, a straight wire of length 0.90 meters carrying a current of 60 A at an angle of 45 degrees experiences a force of 2.0 N. By substituting the known values into the equation, B is determined to be 0.37 T. The initial attempt incorrectly applied the formula for a wire perpendicular to the magnetic field.
PREREQUISITES
- Understanding of the Lorentz force law
- Familiarity with trigonometric functions, specifically sine
- Knowledge of current, length, and magnetic field concepts
- Basic algebra for solving equations
NEXT STEPS
- Study the Lorentz force law in detail
- Learn about the applications of magnetic fields in electrical engineering
- Explore the effects of angle on force in magnetic fields
- Investigate the principles of electromagnetic induction
USEFUL FOR
Physics students, electrical engineers, and anyone interested in understanding the interactions between electric currents and magnetic fields.