Magnetic Field Produced by Loops and Solenoids Video Lessons

Concept

Problem: Suppose a 50-turn coil lies in the plane of the page, in a uniform magnetic field that is directed into the page. The coil originally has an area of 0.250 m2. It is stretched to have no area in 0.100 s. What is the direction and magnitude of the induced emf if the uniform magnetic field has a strength of 1.50 T?

FREE Expert Solution

Induced emf is expressed as:

$\overline{)\begin{array}{rcl}{\mathbf{\epsilon }}& {\mathbf{=}}& \mathbf{N}\frac{\mathbf{∆}\mathbf{\varphi }}{\mathbf{∆}\mathbf{t}}\\ & {\mathbf{=}}& \mathbf{N}\frac{\mathbf{∆}\mathbf{B}\mathbf{A}}{\mathbf{∆}\mathbf{t}}\end{array}}$

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Problem Details

Suppose a 50-turn coil lies in the plane of the page, in a uniform magnetic field that is directed into the page. The coil originally has an area of 0.250 m2. It is stretched to have no area in 0.100 s. What is the direction and magnitude of the induced emf if the uniform magnetic field has a strength of 1.50 T?