A conducting rod of negligible resistance moves at a constant speed \(v\) to the right along two frictionless, parallel conducting rails separated by a distance \(L\). The rails have negligible resistance and are connected on the left by a resistor of resistance \(R\), forming a closed rectangular circuit in a uniform magnetic field of magnitude \(B\) directed perpendicularly into the page. In a second experiment with the same magnetic field and resistor, the rail separation is increased to \(2L\) and the rod is moved at a constant speed of \(\dfrac{v}{4}\). What is the ratio of the induced electric current in the second experiment to the induced electric current in the first experiment, \(\dfrac{I_2}{I_1}\)?