# 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:

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

###### 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?

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

Our tutors have indicated that to solve this problem you will need to apply the Magnetic Field Produced by Loops and Solenoids concept. You can view video lessons to learn Magnetic Field Produced by Loops and Solenoids. Or if you need more Magnetic Field Produced by Loops and Solenoids practice, you can also practice Magnetic Field Produced by Loops and Solenoids practice problems.