Consider a circular loop of wire (radius 5 cm) in a magnetic field of 0.2 T, as

Question

Consider a circular loop of wire (radius 5 cm) in a magnetic field of 0.2 T, as shown. Suppose loop carried a 1.5 A current. The current is directed into the pageat the top of the loop; out of the page at the bottom. a.What torque would the loop experience in its original position? b.Upon rotating to the “final” position, what is the change in potential energy? c.Suppose that instead of a single loop, itconsisted of a coil of wire, forming 10 stacked loops. How would this change your results in part a and b

Explanation / Answer

here N = 1 r = 5 cm = 0.05 m B = 0.2 T I = 1.5 A

(a) as we know that the torque produced

T = NIAB sinQ

= 1 x 1.5 x 3.14 x 0.05 x 0.05 x 0.2 x sin90

= 0.002355 N.m Ans

(b) as we know that change in potential energy

delta(U) = uB

= 4 x 3.14 x 10-7 x 0.2 = 2.512 x 10-7 J Ans

according the question N = 10 formed

then the part (a) will change because it depend on N

so T = NIAB

= 10 x 1.5 x 3.14 x 0.05 x 0.05 x 0.2 = 0.2355 N.m Ans

the part will remains constant because it does not depend on the N

so delta U = 2.512 x 10-7 J Ans

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