A capacitor of capacitance C $$=$$ $$0.015F$$ is connected to parallel conducting rail and a conducting rod of mass m $$=$$ $$100g$$ and length l $$=$$ $$1$$ m start to fall under gravity in vertical plane. A uniform magnetic field of $$2$$ T exist in space directed perpendicular to rod as shown in figure. Find acceleration of rod.

Question

Infinity Learn · Accepted Answer

ε$$=BvL$$⇒$$Q=BvLC$$ ⇒$$I=dQdt=BLCdvdtFor$$ motion of $$railmg-ILB=mdvdt$$ $$mg-L2B2Cdvdt=mdvdt$$ $$dvdt=mgm+B2L2C=6.25m/s2$$

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