1. Three thin infinite wires carrying currents I in the same direction go perpen
ID: 1289830 • Letter: 1
Question
1. Three thin infinite wires carrying currents I in the same direction go perpendicularly to the paper sheet that they intersect at the points forming an equilateral triangle of side L. Calculate the force acting on each wire per unit length. What is the direction of the forces?
2. A flat circular loop of wire of radius R carrying a current I is placed in a uniform magnetic field B that is directed in the plane of the current loop. What is the magnetic moment M of the loop? What is the magnitude of the torque acting on the loop? In which direction the loop will rotate under the influence of this torque?
3. 3. A doubly charged helium atom whose mass is 6.6?10-27 kg is accelerated by a voltage of 1700 V. What will be the radius of curvature if it moves in a plane perpendicular to a uniform 0.5 T magnetic field?
Explanation / Answer
1]
The force per unit length between two current-carrying wires is
F?L=?0I1I22?r
For a derivation, see here.
The currents are all equal, I1=I2=I3=I. The distances are all equal, r12=r13=r23=L. ?0=4?
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