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Question : 12
Total: 14
Two conductors, made of the same material have equal lengths but different cross-sectional areas A 1 and A 2 ( A 1 > A 2 ) . They are connected in parallel across a cell. Show that the drift velocities of electrons in two conductors are equal.
Solution: 👈: Video Solution
When two conductors are connected parallel to a cell, then the potential difference across the two conductors will be same.
So, V 1 = V 2
Or, I 1 R 1 = I 2 R 2 (from Ohm's law)
Or, n e A 1 v d 1 R 1 = n e A 2 v d 2 R 2
Or, A 1 v d 1 R 1 = A 2 v d 2 R 2
Or, A 1 v d 1 ρ
= A 2 v d 2 ρ
( since R = ρ
)
∴ v d 1 = v d 2
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