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

For a wire exposed to a magnetic field,F=LlBsindescribes the relationship between magnetic force (F), current (I), length of wire (L), magnetic field (B), and angle between field and wire ().
Part A: F=LlBsin = 0.14*0.290*0.65*sin(90) = 0.026 N (-k) direction

Part B: F=LlBsin = 0.14*0.290*0.65*sin(0) = 0 N

Part C: F=LlBsin = 0.14*0.290*0.65*sin(45) = 0.019 N (k) direction

Part D: Net force = 0.026 N (-k) + 0.019 N (k) = 0.0070 N (-k)

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