Physics Problem: Faraday's Law and a Magnetic Field Detector

A length of 4.000 m of wire is to be used to detect a magnetic field. The wire is made into a single square loop and rotated at a rate of 400 cycles per second. (a) If the magnetic field is 0.02000 T, what is the magnitude of the average emf that can be generated in the first quarter cycle, provided the loop is initially oriented in a plane perpendicular to the magnetic field? (b) Is there a difference in the magnitude of the average emf generated if the wire is made into two square loops and rotated at the same rate, starting with the same orientation of the loops as that of the loop in part a? If so, what is the average emf possible for the first quarter cycle for two loops being rotated at 400 cycles per second in the magnetic field? (c) If the wire is made into a figure eight, what is the average emf for the first quarter cycle that can be generated by rotating it at 400 cycles per second in the magnetic field, again starting with the same orientation of the oops with respect to the magnetic field? The wire crosses itself in this arrangement. (d) Does the shape of the loop matter?
I'm working through chapter summaries for introductory physics (algebra-based). I'm using the Openstax online (free) textbook College Physics. You can access this book here openstax.org/d...
Here is the playlist with all the videos and problems for this course.
• Online Physics 2 2024