A conducting loop of radius r=0.1 m, carrying a current I=2 A has a magnetic moment / vec{/mu} μ that is entirely in the j-hat direction. The loop is immersed in a magnetic field / vec{B} B = [3 i-hat + 4 j-hat] T. What is the potential energy of the loop in this configuration?

Question

Karter

Physics

26 September, 14:04

A conducting loop of radius r=0.1 m, carrying a current I=2 A has a magnetic moment / vec{/mu} μ that is entirely in the j-hat direction. The loop is immersed in a magnetic field / vec{B} B = [3 i-hat + 4 j-hat] T. What is the potential energy of the loop in this configuration?

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Ean Underwood · Answer 1

Magnetic moment of current carrying loop

= current x area

= 2 x π x. 1²

M =.0628 unit. it is in j direction so vecor form of it

M =.0628 j

Magnetic field B = 3i + 4 j

Energy

= - M. B

-.0628 j. (3i + 4 j)

= -.2512 J