Two separate circuits, Circuit 1 and Circuit 2, each consist of a conducting bar of length \(\ell\) sliding horizontally to the right at a constant speed \(v\) along a pair of frictionless, parallel conducting rails separated by distance \(\ell\). Both circuits are located in identical, uniform magnetic fields \(\vec{B}\) directed perpendicular to the plane of the rails, and the rails have negligible resistance. Circuit 1 contains a load resistor of resistance \(R\), while Circuit 2 contains a load resistor of resistance \(2R\). Which row in the table correctly compares the induced electromotive force \(\mathcal{E}_2\), the magnitude of the magnetic braking force \(F_{B,2}\), and the rate of electrical energy dissipation \(P_2\) in Circuit 2 to the corresponding quantities in Circuit 1?

Row	Induced EMF \(\mathcal{E}_2\)	Magnetic Force \(F_{B,2}\)	Dissipated Power \(P_2\)
A	\(\mathcal{E}_1\)	\(\dfrac{1}{2}F_{B,1}\)	\(\dfrac{1}{2}P_1\)
B	\(\dfrac{1}{2}\mathcal{E}_1\)	\(\dfrac{1}{2}F_{B,1}\)	\(\dfrac{1}{4}P_1\)
C	\(\mathcal{E}_1\)	\(2F_{B,1}\)	\(2P_1\)
D	\(\mathcal{E}_1\)	\(\dfrac{1}{2}F_{B,1}\)	\(\dfrac{1}{4}P_1\)