A group of students is investigating electromagnetic induction. They have a rectangular loop of wire with a single turn, having a known width \(w\) and length \(L\). The loop is securely mounted flat on top of a non-conducting dynamics cart that can roll along a horizontal track. A large permanent magnet assembly creates a uniform magnetic field of magnitude \(B\) directed vertically downward over a specific region of the track, as shown in Figure 1. The magnetic field outside this region is negligible. The students want to experimentally determine the magnitude of the magnetic field \(B\) by moving the cart into the field region.

The following equipment is available:
- The cart with the wire loop, track, and magnet assembly
- A motion detector with a computer interface
- A voltage sensor with a computer interface
- A stopwatch and a meterstick
- Assorted connecting wires