The magnetic field B at all points within the colored circle shown in Fig. E29.15 has an initial magnitude of 0.750 T. (The circle could represent approximately the space inside a long, thin solenoid.) The magnetic field is directed into the plane of the diagram and is decreasing at the rate of -0.0350 T/s. (a) What is the shape of the field lines of the induced electric field shown in Fig. E29.15 , within the colored circle?

Video transcript

Everyone. In this problem, we are asked to determine the shape of the field lines of the electric field induced of a circular loop. When it is inserted into magnetic field directed into the page. Initially, the magnetic field has a mandated of 0.85 tesla with a decreasing rate of minus 0.4 tesla per seconds, which both information are not as useful for this particular problem just because we are only going to be asked what the shape of the field lines of the electric field induced is. So in this particular example, we know that we have a circular loop. So a circular loop will have actual symmetry symmetry just like so and because there is an absence of any electric charge, then because of this symmetry, we know that the field lines are going to breathe in concentric circles. So I'm just gonna write that down due to absence of any electric charge, oops electric charge. So the field lines is going to actually be concentric circles. So that will be the answer to our problem. The field lines is going to be in the form of concentric circles for the electric field induced which is going to corresponds to option C just like so and that will be all for this particular practice problem. If you just have any question, please make sure to check out other lesson videos on similar topics. And that will be all. Thank you.