A metallic rod AB of length $$1.5$$ m is made to move in a uniform magnetic field of $$2$$ tesla with a velocity of $$2$$ $$m/s$$ as shown in figure. Then electro static field that appears in the rod is

Question

Infinity Learn · Accepted Answer

Due to the action of magnetic force −eV→×B→, free electron in the rod migrate to the end B and the rod becomes polarized. As a result an electro static field appears in the rod and net Lorentz force on each free electron becomes zero. ∴−eE→$$+$$−eV→×B→$$=0$$ ⇒E→$$=$$−V→×B→$$=B$$→×V→ ⇒E $$=$$ vB $$=$$ $$2$$×$$2$$ $$v/m$$ $$=$$ $$4$$ $$v/m$$

A metallic rod AB of length 1.5 m is made to move in a uniform magnetic field of 2 tesla with a velocity of 2 m/s as shown in figure. Then electro static field that appears in the rod is

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