Suppose that the voltage of the battery in the circuit is 3.3 V, the magnitude o

Question

Suppose that the voltage of the battery in the circuit is 3.3 V, the magnitude of the magnetic field (directed perpendicularly into the plane of the screen) is 0.66 T, and the length of the rod between the rails is 0.19 m. Assuming that the rails are very long and have negligible resistance, find the maximum speed attained by the rod after the switch is closed.

Suppose that the voltage of the battery in the circuit is 3.3 V, the magnitude of the magnetic field (directed perpendicularly into the plane of the screen) is 0.66 T, and the length of the rod between the rails is 0.19 m. Assuming that the rails are very long and have negligible resistance, find the maximum speed attained by the rod after the switch is closed.

Explanation / Answer

when the switch is closed, current flows
and the force on the bar is to the right
=> the bar will accelerate
on moving, a motional emf E would be induced

E = vBL (increases as speed v increases)
when E=V ( net emf in the circuit is zero)
no current, no force on the rod, rod will remain in constant speed

V=E=vmax*B*L
vmax = E/(B*L) = 3.3/(0.66*0.19) = 26.31 m/s

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