Question

A cross a wire of length 1 and thickness $d$, a p.d of $V$ is applied. If the p.d is doubled the drift velocity becomes.... (A) becomes double (B) becomes half (C) Close not change (D) becomes Zero

Name: Problem 1717, Chapter 12: JEE Physics
Uploaded: 2021-10-02T13:11:33-08:00
Duration: 1 min 21 s
Channel: Prem Bijarniya
Description: A cross a wire of length 1 and thickness d, a p.d of V is applied. If the p.d is doubled the drift velocity becomes.... (A) becomes double (B) becomes half (C) Close not change (D) becomes Zero

   A cross a wire of length 1 and thickness $d$, a p.d of $V$ is applied. If the p.d is doubled the drift velocity becomes....
(A) becomes double
(B) becomes half
(C) Close not change
(D) becomes Zero

JEE Physics

StemEZ 1st Edition

Chapter 12, Problem 1717

Instant Answer

Solved by Expert Prem Bijarniya

10/02/2021

Step 1

Step 1: The drift velocity $v_d$ of electrons in a conductor is given by the equation: \[v_d = \frac{I}{nAe}\] where $I$ is the current, $n$ is the number of charge carriers per unit volume, $A$ is the cross-sectional area of the conductor, and $e$ is the charge of Show more…

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A cross a wire of length 1 and thickness $d$, a p.d of $V$ is applied. If the p.d is doubled the drift velocity becomes.... (A) becomes double (B) becomes half (C) Close not change (D) becomes Zero

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Key Concepts

Drift Velocity

Drift velocity is the average speed at which charge carriers (such as electrons) move through a conductor when an electric field is applied. It is directly influenced by the strength of the electric field and the mobility of the charge carriers.

Electric Field and Potential Difference

The electric field inside a conductor is created by applying a potential difference (voltage) across it, and its strength is given by the voltage divided by the length over which it is applied. This field drives the movement of the charge carriers.

Relationship between Voltage and Drift Velocity

Because drift velocity is proportional to the electric field (and thus to the applied voltage), any change in the voltage directly affects the drift velocity. Doubling the voltage, with all other factors remaining constant, will double the electric field and, consequently, the drift velocity.

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