Question

When a current i flows through a wire drift velocity of the electrons is v when current 2i flows through another wire of the same material having the double the length and double the cross section area, drift velocity of the electrons will be?

Answer 1

Answer:

please refer to the attached photo .

Hope you will be able to understand.

Explanation:

You need to remember the relationship between drift velocity and other facts, even if you forget the actual formula.

Answer 2

Concept Introduction: Drift velocity is the velocity of the molecules of the current flowing in a wire or conductor.

Given:

We have been Given: When a current i flows through a wire drift velocity of the electrons is v when current 2i flows through another wire of the same material having the double the length and double the cross section area.

To Find:

We Have to Find: Drift velocity of the electrons will be?

Solution:

According to the problem, we know, drift velocity is directly proportional to area and current, but inversely proportional to length of the wire. therefore,

$\frac{ v_{d}}{v} = ( \frac{a2}{a1} )( \frac{l1}{l2} )( \frac{i2}{i1} ) \\ \frac{ v_{d} }{v} = 2 \times \frac{1}{2} \times 2 = 2 \\ v_{d} = 2v$

Final Answer: The drift velocity is

$v_{d} = 2v$

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