Faraday's Law with Calculus Video Lessons

Concept

# Problem: Suppose you rotate a 1000 turn, 19 cm diameter coil in the Earth's 5.00 × 10-5 T magnetic field. What is the peak emf generated in V, given the plane of the coil is originally perpendicular to the Earth's field and is rotated to be parallel to the field in 11.5 ms?

###### FREE Expert Solution

The peak voltage:

$\overline{){{\mathbf{\epsilon }}}_{{\mathbf{0}}}{\mathbf{=}}{\mathbf{N}}{\mathbf{A}}{\mathbf{B}}{\mathbf{\omega }}}$

The area of the cross-section of the coil:

$\overline{){\mathbf{A}}{\mathbf{=}}{\mathbf{\pi }}{{\mathbf{\left(}}\frac{\mathbf{d}}{\mathbf{2}}{\mathbf{\right)}}}^{{\mathbf{2}}}}$

Angular velocity:

$\overline{){\mathbf{\omega }}{\mathbf{=}}\frac{\mathbf{∆}\mathbf{\theta }}{\mathbf{∆}\mathbf{t}}}$

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###### Problem Details

Suppose you rotate a 1000 turn, 19 cm diameter coil in the Earth's 5.00 × 10-5 T magnetic field. What is the peak emf generated in V, given the plane of the coil is originally perpendicular to the Earth's field and is rotated to be parallel to the field in 11.5 ms?