(Solved): (a) The figure below shows two parallel conducting rails 14.8cm apart, connected by a resistor wi ...

(a) The figure below shows two parallel conducting rails $14.8\mathrm{cm}$ apart, connected by a resistor with resistance $R_3=5.00?$. Two metal rods with resistances $R_1=10.4?$ and $R_2=15.0?$ slide along the rails with negligible friction. Rod $R_1$ slides to the left at constant speed $v_1=4.00\mathrm{m}/\mathrm{s}$, while $\mathrm{rod}{R}_2$ slides at speed $v_2=2.00\mathrm{m}/\mathrm{s}$. The rods and rails are in the presence of a uniform magnetic field pointing into the page, perpendicular to the plane of the rails, with a magnitude of $B_{\text{in }}=0.0100\mathrm{T}$ What are the magnitude (in $?\mathrm{A}$ ) and direction of the current through resistor $R_3$ ? magnitude $?\mathrm{A}$ direction (b) What If? What are the magnitude (in $?\mathrm{A}$ ) and direction of the current through resistor $R_3$ if the rods move inward, instead of outward, with the same speeds as in part (a)? magnitude $?\mathrm{A}$ direction