Hello everyone , I would highly appreciate it if someone can please help me with

Question

Hello everyone , I would highly appreciate it if someone can please help me with this physics problem. It would be of great help if you would show me step by step. Thank you in advance.       A thin 50.0 cm -long metal bar with mass 720 g rests on, but is not attached to, two metal supports in a uniform 0.500 T magnetic field, as shown in the figure (Figure 1) . A battery and a 30.0 resistor in series are connected to the supports. What is the largest terminal voltage the battery can have without breaking the circuit at the supports?

Explanation / Answer

The current flowing to the right in the bar feels a lifting force from the magnetic eld FB = IL X B which balances the
gravitational force Fg = mg. Because the current and magnetic field are perpendicular to each other, we can focus on the
magnitudes
FB = IL X B = Fg = mg ........(1)
I = mg/LB = (0.72*9.81)/(0.5*.5) = 28.25 A
This maximum current would occur when the voltage V from the battery balanced an IR drop across the resistor, so
V = IR = 28.25*30
= 847.584 V

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