Force and Torque on Current Loops Video Lessons

Concept

# Problem: A uniform rectangular coil of total mass 270 g and dimensions 0.500m×1.00m is oriented parallel to a uniform 3.70-T magnetic field (Figure 1) . A current of 2.00 A is suddenly started in the coil.Find the initial angular acceleration of the coil just after the current is started.Express your answer using two significant figures.ANSWER = _________________ rad /S2

###### FREE Expert Solution

Magnetic torque:

$\overline{){\mathbf{\tau }}{\mathbf{=}}{\mathbf{N}}{\mathbf{B}}{\mathbf{A}}{\mathbf{i}}{\mathbf{·}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\theta }}}$

Torque:

$\overline{){\mathbit{\tau }}{\mathbf{=}}{\mathbit{\alpha }}{\mathbit{I}}}$ where I is the moment of inertia and α is the angular acceleration.

Moment of inertia of a rod about its center:

$\overline{){\mathbf{I}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{12}}{\mathbf{M}}{{\mathbf{L}}}^{{\mathbf{2}}}}$

Parallel axis theorem:

$\overline{){\mathbf{I}}{\mathbf{=}}{{\mathbf{I}}}_{\mathbf{c}\mathbf{m}}{\mathbf{+}}{\mathbf{M}}{{\mathbf{d}}}^{{\mathbf{2}}}}$

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###### Problem Details

A uniform rectangular coil of total mass 270 g and dimensions 0.500m×1.00m is oriented parallel to a uniform 3.70-T magnetic field (Figure 1) . A current of 2.00 A is suddenly started in the coil.

Find the initial angular acceleration of the coil just after the current is started.

What scientific concept do you need to know in order to solve this problem?

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What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Nale & Margine's class at BU.