The figure below shows a loop of wire of mass m = 0.0289 kg, width L = 0.0514 m, and resistance R = 0.315 2 dropping out of a region of constant magnetic field of magnitude B = 1.89 T pointing into the page. As long as the top of the loop is in the magnetic field, the equation describing the magnitude of the velocity of the loop is given by mdv/dt +vL²B²/R = mg. Replacing the magnitude of the velocity v by the current i, this equation has the same form as that for a series LR circuit. What is the corresponding time constant describing v as a function of time? kg./(m-T)² X X X L mg X X X X X XB X X

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The figure below shows a loop of wire of mass m = 0.0289 kg, width L = 0.0514 m, and
resistance R = 0.315 dropping out of a region of constant magnetic field of magnitude B =
1.89 T pointing into the page. As long as the top of the loop is in the magnetic field, the
equation describing the magnitude of the velocity of the loop is given by mdv/dt + vL²B²/R =
mg. Replacing the magnitude of the velocity v by the current i, this equation has the same
form as that for a series LR circuit. What is the corresponding time constant describing v as a
function of time?
kg./(m.T)2
X
X
X
X
X
X
X
X
X
L
X
X
X
X
mg
X
X
X X
X
XB
X X
X
Transcribed Image Text:The figure below shows a loop of wire of mass m = 0.0289 kg, width L = 0.0514 m, and resistance R = 0.315 dropping out of a region of constant magnetic field of magnitude B = 1.89 T pointing into the page. As long as the top of the loop is in the magnetic field, the equation describing the magnitude of the velocity of the loop is given by mdv/dt + vL²B²/R = mg. Replacing the magnitude of the velocity v by the current i, this equation has the same form as that for a series LR circuit. What is the corresponding time constant describing v as a function of time? kg./(m.T)2 X X X X X X X X X L X X X X mg X X X X X XB X X X
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