A horizontal conducting rod of mass \(m\) and length \(L\) is free to slide on two smooth vertical conducting rails as shown, where there is a magnetic field of intensity \(B\) directed inside the screen and the resistance of the resistor is \(R\).
The rod is given an initial velocity \(v_0\) upwards. Find the greatest height \(h\) that it will attain before falling down. Consider the initial position of the rod as \(h=0\).
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