- #1
Physicslearner500039
- 124
- 6
- Homework Statement
- A voice coil in a loudspeaker has 50 turns of wire and a diameter of 1.56 cm, and the current in the coil is 0.950 A. Assume that the magnetic field at each point of the coil has a constant magnitude of 0.220 T and is directed at an angle of 60.0 Deg outward from the normal to the plane of the coil. Let the axis of the coil be in the y-direction. The current in the coil is in the direction shown (counterclockwise as viewed from a point above the coil on the y-axis). Calculate the magnitude and direction of the net magnetic force on the coil.
- Relevant Equations
- F=ILBSin(Θ)
Surely a tough one, I am doing it from the basics. This is the diagram i tried to draw showing the Force and current I
The Length L is the tangent to the circle. The Force F is pointing upwards at ##90 Deg## to the ##\vec B## and also perpendicular to ##\vec L##. I am considering a small length ##\vec dL = r d\theta##. Resolving the force into X and Y components and integrating over the complete ##2\pi##.
##Fx = \int_0^{2\pi} IRB\sin(30) d\theta ##
##Fy = \int_0^{2\pi} IRB\cos(30)d\theta ##
Is my approach correct or completely wrong? Please advise