When 5 V potential difference is applied across a wire of length 0.1 m, the drift speed of electrons is 2.5×10−4 ms−1. If the electron density in the wire is 8×1028 m−3, the resistivity of the material is close to:

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Drift of Electrons and the Origin of Resistivity

When 5 {~V} potential difference is applied across a wire of l

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When $5 V$ potential difference is applied across a wire of length $0.1 m$ , the drift speed of electrons is $2.5 \times 1 0^{- 4} ms^{- 1}$ . If the electron density in the wire is $8 \times 1 0^{28} m^{- 3}$ , the resistivity of the material is close to:

1.6 \times 1 0^{- 6} Ω m

1.6 \times 1 0^{- 5} Ω m

1.6 \times 1 0^{- 8} Ω m

1.6 \times 1 0^{- 7} Ω m

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Updated on: Apr 6, 2023

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When

5 V

potential difference is applied across a wire of length

0.1 m

, the drift speed of electrons is

2.5 \times 1 0^{- 4} ms^{- 1}

. If the electron density in the wire is

8 \times 1 0^{28} m^{- 3}

, the resistivity of the material is close to:

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

As we know,

V = I R = (n e A v_{d}) ρ \frac{ℓ}{A}

∴ ρ = \frac{V}{V _{d} Ine}

Here

V =

potential difference

I =

length of wire

n =

no. of electrons per unit volume of conductor.

e = no

. of electrons
Placing the value of above parameters we get resistivity

ρ = \frac{5}{8 \times 1 0 ^{28} \times 1.6 \times 1 0 ^{- 19} \times 2.5 \times 1 0 ^{- 4} \times 0.1}

= 1.6 \times 1 0^{- 5} Ω m

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Question Text	When $5 V$ potential difference is applied across a wire of length $0.1 m$ , the drift speed of electrons is $2.5 \times 1 0^{- 4} ms^{- 1}$ . If the electron density in the wire is $8 \times 1 0^{28} m^{- 3}$ , the resistivity of the material is close to:
Updated On	Apr 6, 2023
Topic	Current Electricity
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 10
Upvotes	1043
Avg. Video Duration	6 min

When $5 V$ potential difference is applied across a wire of length $0.1 m$ , the drift speed of electrons is $2.5 \times 1 0^{- 4} ms^{- 1}$ . If the electron density in the wire is $8 \times 1 0^{28} m^{- 3}$ , the resistivity of the material is close to:

Text solutionVerified

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When 5 V potential difference is applied across a wire of length 0.1 m, the drift speed of electrons is 2.5×10−4 ms−1. If the electron density in the wire is 8×1028 m−3, the resistivity of the material is close to:

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When $5 V$ potential difference is applied across a wire of length $0.1 m$ , the drift speed of electrons is $2.5 \times 1 0^{- 4} ms^{- 1}$ . If the electron density in the wire is $8 \times 1 0^{28} m^{- 3}$ , the resistivity of the material is close to: