Question
A metallic block carrying current i is subjected to a uniform magnetic induction B as shown in the figure. The moving charges experience a force F given by ……. which results in the lowering of the potential of the face …….? Assume the speed of the carriers to be v.
Answer: Option C
:
C
As the block is of metal, the charge carriers are electrons; so for current along positive x-axis, the electrons are moving along negative x-axis, i.e. ⃗v=−vi
and as the magnetic field is along the y-axis, i.e. ⃗B=B^j
so ⃗F=q(⃗v×⃗B) for this case yield ⃗F=(−e)[−v^i×B^j]
i.e., ⃗F=evB^k [As^i×^j=^k]
As force on electrons is towards the face ABCD, the electrons will accumulate on it an hence it will acquire lower potential.
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:
C
As the block is of metal, the charge carriers are electrons; so for current along positive x-axis, the electrons are moving along negative x-axis, i.e. ⃗v=−vi
and as the magnetic field is along the y-axis, i.e. ⃗B=B^j
so ⃗F=q(⃗v×⃗B) for this case yield ⃗F=(−e)[−v^i×B^j]
i.e., ⃗F=evB^k [As^i×^j=^k]
As force on electrons is towards the face ABCD, the electrons will accumulate on it an hence it will acquire lower potential.
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