Consider a single square loop of wire of area A carrying a current I in a uniform magnetic field of strength B. The field is pointing directly up the page in the plane of the page. The loop is oriented so that the plane of the loop is perpendicular to the plane of the page (this means that the normal vector for the loop is always in the plane of the page!). In the illustrations below the magnetic field is shown in red and the current through the current loop is shown in blue. The loop starts out in orientation (i) and rotates clockwise, through orientations (ii) through (viii) before returning to (i). (i) Ø I N - - I N - (iii) (iv) (v) (vii) (viii) a) [3 points] For each of the eight configurations, draw in the magnetic dipole moment vector μ of the current loop and indicate whether the torque on the dipole due to the magnetic field is clockwise (CW), counterclockwise (CCW), or zero. In which two orientations will the loop experience the maximum magnitude of torque? [Hint: Use the right-hand rule!]

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Chapter16: Electromagnetic Waves
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Problem 37P: The potential difference V(t) between parallel plates shown above is instantaneously increasing at a...
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Consider a single square loop of wire of area A carrying a current I in a uniform magnetic field
of strength B. The field is pointing directly up the page in the plane of the page. The loop is
oriented so that the plane of the loop is perpendicular to the plane of the page (this means that the
normal vector for the loop is always in the plane of the page!). In the illustrations below the
magnetic field is shown in red and the current through the current loop is shown in blue. The
loop starts out in orientation (i) and rotates clockwise, through
orientations (ii) through (viii)
before returning to (i).
(i)
Ø I N - - I N -
(iii)
(iv)
(v)
(vii)
(viii)
a) [3 points] For each of the eight configurations, draw in the magnetic dipole moment vector
μ of the current loop and indicate whether the torque on the dipole due to the magnetic field
is clockwise (CW), counterclockwise (CCW), or zero. In which two orientations will the
loop experience the maximum magnitude of torque?
[Hint: Use the right-hand rule!]
Transcribed Image Text:Consider a single square loop of wire of area A carrying a current I in a uniform magnetic field of strength B. The field is pointing directly up the page in the plane of the page. The loop is oriented so that the plane of the loop is perpendicular to the plane of the page (this means that the normal vector for the loop is always in the plane of the page!). In the illustrations below the magnetic field is shown in red and the current through the current loop is shown in blue. The loop starts out in orientation (i) and rotates clockwise, through orientations (ii) through (viii) before returning to (i). (i) Ø I N - - I N - (iii) (iv) (v) (vii) (viii) a) [3 points] For each of the eight configurations, draw in the magnetic dipole moment vector μ of the current loop and indicate whether the torque on the dipole due to the magnetic field is clockwise (CW), counterclockwise (CCW), or zero. In which two orientations will the loop experience the maximum magnitude of torque? [Hint: Use the right-hand rule!]
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