A current of 5A is passing through a metallic wire of cross-sectional area 4×10-6m2 If the density of the charge carriers in the wire is 5 × 1026m-3, the drift speed of the electrons will be [e = 1.602 × 10-19C]

Question

A current of 5A is passing through a metallic wire of cross-sectional area 4×10-6m2 If the density of the charge carriers in the wire is 5 × 1026m-3, the drift speed of the electrons will be [e = 1.602 × 10-19C] (A) 1.56 × 10-2ms-1 (B) 1.98 ×10-2ms-1 (C) 2.42 ×10-2ms-1 (D) 2.84 ×10-2ms-1

Tardigrade Admin · Accepted Answer

In a metal, conduction current is due to electrons given by
I=nAev

\Rightarrow

drift velocity,

V = \frac{I}{n A e}

\Rightarrow v = \frac{5}{5 \times 1 0 ^{26} \times 4 \times 1 0 ^{- 6} \times 1.602 \times 1 0 ^{- 19}}

= \frac{1}{4 \times 1.602 \times 1 0 ^{1}}

= \frac{1 0 ^{- 1}}{6.408} = 1.56 \times 1 0^{- 2} m / s

Q. A current of 5A is passing through a metallic wire of cross-sectional area $4 \times 1 0^{- 6} m^{2}$ If the density of the charge carriers in the wire is 5 × $1 0^{26} m^{- 3}$ , the drift speed of the electrons will be [e = 1.602 × $1 0^{- 19} C$ ]

$1.56 \times 1 0^{- 2} m s^{- 1}$

$1.98 \times 1 0^{- 2} m s^{- 1}$

$2.42 \times 1 0^{- 2} m s^{- 1}$

$2.84 \times 1 0^{- 2} m s^{- 1}$

Q. A current of 5A is passing through a metallic wire of cross-sectional area 4×10−6m2 If the density of the charge carriers in the wire is 5 × 1026m−3, the drift speed of the electrons will be [e = 1.602 × 10−19C]

1.56×10−2ms−1

1.98×10−2ms−1

2.42×10−2ms−1

2.84×10−2ms−1

In a metal, conduction current is due to electrons given by I=nAev ⇒ drift velocity, V=nAeI​ ⇒v=5×1026×4×10−6×1.602×10−195​ =4×1.602×1011​ =6.40810−1​=1.56×10−2m/s

Q. A current of 5A is passing through a metallic wire of cross-sectional area $4 \times 1 0^{- 6} m^{2}$ If the density of the charge carriers in the wire is 5 × $1 0^{26} m^{- 3}$ , the drift speed of the electrons will be [e = 1.602 × $1 0^{- 19} C$ ]

$1.56 \times 1 0^{- 2} m s^{- 1}$

$1.98 \times 1 0^{- 2} m s^{- 1}$

$2.42 \times 1 0^{- 2} m s^{- 1}$

$2.84 \times 1 0^{- 2} m s^{- 1}$