A 12-V battery is connected to a 2.50-? resistor in a rigid rectangular loop of

Question

A 12-V battery is connected to a 2.50-? resistor in a rigid rectangular loop of wire measuring 3.05 m by 1.13 m. As shown in the figure, a length l = 1.13 m of wire at the end of the loop extends into a 2.26 m by 2.26 m region with a magnetic field of magnitude 5.03 T, directed into the page. What is the net force on the loop?

A 12-V battery is connected to a 2.50-? resistor in a rigid rectangular loop of wire measuring 3.05 m by 1.13 m. As shown in the figure, a length l = 1.13 m of wire at the end of the loop extends into a 2.26 m by 2.26 m region with a magnetic field of magnitude 5.03 T, directed into the page. What is the net force on the loop?

Explanation / Answer

net force F = iLb sin theta

current i = induce emf e /R = 12/2.5 = 4.8 A

so Force F = 4.8* 1.13* 5.03 = 27.28 N

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