A closed wire loop is in the shape of a right triangle, with sides 14 cm , 14 cm

Question

A closed wire loop is in the shape of a right triangle, with sides 14 cm , 14 cm , and 14 2cm. The loop lies in the xy plane, with the one corner at the origin and the shorter sides along the x- and y-axes. The loop carries 290 mA in the clockwise direction. A uniform magnetic field of 0.65 T points in the +y-direction.

Part A

Find the force on the 14 cm side of the loop parallel to the x-axis. Assume the +z-direction as positive.

Express your answer to two significant figures and include the appropriate units.

Part B

Find the force on the 14 cm side of the loop parallel to the y-axis.

Express your answer to two significant figures and include the appropriate units.

Part C

Find the force on the 14 2 cm side of the loop.

Express your answer to two significant figures and include the appropriate units.

Part D

Add the forces to get the net force.

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Part A) F=I(L×B)

F=0.29(14i × 0.65j)

F=0.29*14*0.65(i×j)=2.63k N

Part B) F=I(L×B)

F=0.29(14j × 0.65j)=0N

Part C)

F=I(L×B)

L=14i-14j

F=0.29([14i-14j] × 0.65j)=2.63k N

Part D) Net force =2.69k+0+2.63k=5.32k N

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