A conducting bar of length \(\ell\) slides to the right at a constant velocity \(\vec{v}\) along horizontal, frictionless parallel conducting rails situated in a uniform magnetic field \(\vec{B}\) directed into the page. The rails are connected at the left end by a resistor of resistance \(R\). An external force \(\vec{F}_{\text{app}}\) pulls the bar to maintain its constant velocity. Which of the following correctly identifies the direction of the magnetic force \(\vec{F}_B\) exerted on the moving bar and compares the magnitude of the applied force \(F_{\text{app}}\) to the magnitude of the magnetic force \(F_B\)?