Induced emf:

$\overline{){\mathbf{\epsilon}}{\mathbf{\left(}}{\mathbf{t}}{\mathbf{\right)}}{\mathbf{=}}\frac{\mathbf{d}}{\mathbf{d}\mathbf{t}}{\mathbf{\varphi}}{\mathbf{=}}\frac{\mathbf{d}}{\mathbf{d}\mathbf{t}}{\mathbf{B}}{\mathbf{A}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\theta}}}$

A = πr^{2} = π(0.75)^{2}

The angle between perpendicular to the loop and the magnetic field is 30°.

A flat, circular, steel loop of radius 75 cm is at rest in a uniform magnetic field, as shown in an edge-on view in the figure. The field is changing with time, according to

Find the emf induced in the loop as a function of time (assume *t* in seconds). Express your answer in terms of the variable *t*.

Frequently Asked Questions

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 Lenz's Law concept. You can view video lessons to learn Lenz's Law. Or if you need more Lenz's Law practice, you can also practice Lenz's Law practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Chavez's class at UNM.