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One end of a resistanceless conducting horizontal pair of rails having a distance L between them, is connected to a capacitor of capacitance C that has been charged to a voltage V 0 . The inductance of the assembly is negligibe. The system is placed in a uniform, vertical magnetic field B (the shaded region in the figure). A frictionless conducting rod of mass m and resistance R is placed perpendicularly onto the track. The polarity of the capacitor is such that the rod is repelled from the capacitor when the switch is turned on. i) What is the maximum velocity of the rod? ii) Under what conditions is the efficiency of this "electromagnetic gun" maximum?


One end of a resistanceless conducting horizontal pair of rails having a distance L between them, is connected to a capacitor of capacitance C that has been charged to a voltage V0. The inductance of the assembly is negligibe. The system is placed in a uniform, vertical magnetic field B (the shaded region in the figure). A frictionless conducting rod of mass m and resistance R is placed perpendicularly onto the track. The polarity of the capacitor is such that the rod is repelled from the capacitor when the switch is turned on.


i) What is the maximum velocity of the rod?


ii) Under what conditions is the efficiency of this "electromagnetic gun" maximum?


Grade:upto college level

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