Solve Study Textbooks Guides

Join / Login

>>Class 12
>>Physics
>>Current Electricity
>>Drift Velocity & Mobility
>> $A current I flows through a uniform wire$

Question

A current I flows through a uniform wire of diameter d when the electron drift velocity is V .The same current will flow through a wire of diameter d/2 made of the same material if the drift velocity of the electrons is

A

v/4

B

v/2

C

2v

D

4 v

Medium

Open in App

Solution

Verified by Toppr

Correct option is A)

The relation between current and drift velocity is

$I = n e A v_{d}$

$v_{d} = \frac{I}{n e A}$

$v_{d} = \frac{I}{n e π r ^{2}}$

According to given data,

$v_{d}^{^{'}} = \frac{1}{n e π ( 2 r ) ^{2}}$

$v_{d}^{^{'}} = \frac{1}{4} \frac{1}{n e π r ^{2}}$

$v_{d}^{'} = \frac{v _{d}}{4}$

Solve any question of Current Electricity with:-

Patterns of problems

Patterns of problems

Was this answer helpful?

0

0

Similar questions

When current flows through a conductor, then the order of drift velocity of electrons will be:-

In a wire of cross section radius r, free electrons travel with drift velocity V when a current a $I$ flows throught the wire. What is the current in another wire of half the radius and of the same material when the drift velocity is $2 V$ ?

What is mean by drift velocity? A current of $0.5$ ampere flows in a wire of radius $0.5 m m$ . If the number of free electrons in the wire be $4 \times 10^{28}$ per $m^{3}$ , calculate their drift velocity.

An electric cell of e.m.f. E is connected across a copper wire of diameter d and length l. The drift velocity of electrons in the wire is $v_{d}$ . If the length of the wire is changed to 2l, the new drift velocity of electrons in the copper wire will be

An electric cell of emf $E$ is connected across a copper wire of diameter $d$ and length $l$ . The drift velocity of electrons in the wire is $v_{d}$ . If the length of the wire is changed to $2 l$ , the new drift velocity of electrons in the copper wire will be:

View more

More From Chapter

Current Electricity

View chapter >

Revise with Concepts

Advanced Knowledge of Drift Velocity

ExampleDefinitionsFormulaes

Interpretation of Current from Drift Velocity

ExampleDefinitionsFormulaes

Mobility

ExampleDefinitionsFormulaes

Learn with Videos

Mean Free Path of Electrons

Electron Mobility

Shortcuts & Tips

Memorization tricks

Memorization tricks

Mindmap

Important Diagrams

Important Diagrams

Common Misconceptions

Common Misconceptions

Cheatsheets

Problem solving tips

Problem solving tips

Practice more questions

Medium Questions