Question
In the figure below, the cube is 41.0 cm on each edge. Four straight segments of wireab, bc, cd, and daform a closed loop that carries a current I = 5.10 A in the direction shown. A uniform magnetic field of magnitude B = 0.0200 T is in the positive y-direction. Determine the magnitude and direction of the magnetic force on each segment. (Please give the magnitudes to three decimal places.)
Segment F(N) Direction ab N ---Direction---positive xnegative xpositive ynegative ypositive znegative zparallel to x-z plane at 45° to both +x and +z directionsparallel to x-y plane at 45° to both +x and +y directionsparallel to y-z plane at 45° to both +y and +z directionszero force bc N ---Direction---positive xnegative xpositive ynegative ypositive znegative zparallel to x-z plane at 45° to both +x and +z directionsparallel to x-y plane at 45° to both +x and +y directionsparallel to y-z plane at 45° to both +y and +z directionszero force cd N ---Direction---positive xnegative xpositive ynegative ypositive znegative zparallel to x-z plane at 45° to both +x and +z directionsparallel to x-y plane at 45° to both +x and +y directionsparallel to y-z plane at 45° to both +y and +z directionszero force da N ---Direction---positive xnegative xpositive ynegative ypositive znegative zparallel to x-z plane at 45° to both +x and +z directionsparallel to x-y plane at 45° to both +x and +y directionsparallel to y-z plane at 45° to both +y and +z directionszero force In the figure below, the cube is 41.0 cm on each edge. Four straight segments of wireâab, bc, cd, and daâform a closed loop that carries a current I = 5.10 A in the direction shown. A uniform magnetic field of magnitude B = 0.0200 T is in the positive y-direction. Determine the magnitude and direction of the magnetic force on each segment. (Please give the magnitudes to three decimal places.)
Explanation / Answer
Simple calculation:
For each rod, F = ILB.
plug in values for each, I, B are the same for all, and only L differs, which you can calculate with simple math.
To find the direction, use the right hand rule. Open your palm, with your thumb and index finger perpendicular to each other. Your thumb points in the direction if I, your index finger points in the direction of B, and then your palm faces the direction of F.