Drift Velocity and Current – Rankers Physics

Relation between Current and Drift Velocity: Practice Problem & Solution

Assertion (A): As drift velocity increases current flowing through conductor decreases. Reason (R): Current flowing through conductor is inversely proportional to drift velocity.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Relation between Current and Drift Velocity. Understanding the underlying formula is key to arriving at the correct answer below:

The relation between current (I) and drift velocity \(v_d\) is \(I = nAe v_d\), where (n) is carrier density, (A) is cross-sectional area, and (e) is electron charge. This equation shows that current is directly proportional to drift velocity. Therefore, both Assertion (A) and Reason (R) are false.

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