uestion 3 120 pts] Multiple choice questions: Circle the correct response. coil

Question

uestion 3 120 pts] Multiple choice questions: Circle the correct response. coil in the figure carries current i 2.46 A in the direction indicated, is parallel to an xz plane, has 3 tu and an area of 3.12x 103 m2, and lies in a uniform magnetic field B-(1.88 i-2.68]-4.57 k) mr (a) [6 points] What is the direction of the magnetic dipole moment? B. +x D.-? E.-? (b) [7 pts] What is the magnetic potential energy of the coil-magnetic field system? A. -61.7 J B. -80.2 ? C. 61.7J D. 80.2 (c) [7 pts] What is the torque on the coil due to the magnetic field? A. (2821 + 1 16k) ?4 mr2 C. (282k + 1161) ?4? D. (116h-61.7) + 282) ??

Explanation / Answer

given, i = 2.46 A

n = 3 turns

A = 3.12*10^-3 m^2

B = (1.88i - 2.68j - 4.57k) *10^-3 T

a. the magnetic dipole moment is along -ve y axis, from the right hand corkscrew rule

hence option D. -y

b. magneitc potential energy U = -mu.B

mu = n*i*A

hence

U = -61.7 uJ

opiton A.

c. torque = BINA sin(theta)

or

T = mu x B = niA (-j) x ((1.88i - 2.68j - 4.57k) *10^-3

T = niA(1.88k + 4.57i)*10^-3 = 23.0256(4.57i + 1.88k)*10^-6 Nm

option A

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