Projectile Launcher, large current, closed loop, magnetic field

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SUMMARY

The discussion focuses on calculating the constant current required to accelerate a bar in a projectile launcher setup. Given a bar length of 0.22 m, mass of 0.0015 kg, and a magnetic field strength of 1.7 T, the necessary current can be determined using the equation F = ILB, where F is the force, I is the current, L is the length of the bar, and B is the magnetic field strength. The acceleration needed to reach a velocity of 28 m/s over a distance of 1.0 m can be derived from kinematic equations, allowing for the calculation of the required current. The magnetic field direction must be established using the right-hand rule.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Familiarity with magnetic force equations (F=ILB)
  • Basic knowledge of kinematics
  • Application of the right-hand rule for magnetic fields
NEXT STEPS
  • Calculate the required current using F=ILB and the derived acceleration.
  • Explore kinematic equations to understand motion under constant acceleration.
  • Study the right-hand rule in detail to determine magnetic field directions.
  • Investigate the effects of varying magnetic field strengths on current requirements.
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electromagnetic applications in projectile systems will benefit from this discussion.

thermocleanse
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Homework Statement


A projecticle launcher is shown in the attachment. A large current moves in a closed loop composed of fixed rails, a power supply, and a very light, almost frictionless bar touching the rails. A magnetic field is perpendicular to the plane of the circuit. If the bar has a length L=0.22 m and a mass of 0.0015 kg and is placed n a field of 1.7 T, what constant current flow is needed to accelerate the bar from rest to 28 m/s in a distance of 1.0 m? In what direction must the magnetic field point?


Homework Equations


F=ma
F=ILB

The Attempt at a Solution


I'm having a hard time conceptualizing this problem and would like any assistance. Thank you.
 

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Current is simply protons moving in one direction. Moving charges in a magnetic field experience a force. Consequently the bar experiences a force. You've basically solved 90% of the problem with the two equations you wrote down.

BIL = ma

You can easily use the information given and kinematics to figure out the acceleration. Then just solve for I.

Use the right-hand rule for the second question.
 

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