as a result of the motion through the magnetic field, a charge in the rod will experience a force f⃗ =qv⃗ ×b⃗ : the usual part of the lorentz force for charges moving through magnetic fields. this force will push the charge in the rod, and hence this force will be an electromotive force (emf). for now, we shall say that this force that moves the charges is instead due to an equivalent electric field e⃗ equivalent, which will enable us to calculate the emf. a method that does not involve faraday's law must be used to solve this motional emf problem since there is no closed loop that encloses some changing flux. in fact, this problem is a good introduction to some of the ideas behind faraday's law. find the y component of this equivalent electric field e⃗ equivalent.