Potential difference of 6V is applied across a conductor of length 0.12m.find its drift velocity if its electron mobility is 5.6×10^-6m^2v^-1s^-1
Answers
Answer:
drift velocity i defined as v= mobility * electric field so
drift velocity in this case is v= 5.6x 16 x 6/0.12(electric field is V/d)
Concept:
Drift Velocity is equal to mobility times Electric field and Electric field is potential difference per unit length.
Given:
Potential difference (V) = 6 V
Length of conductor (L) = 0.12 metre
Mobility (μ) = 5.6 × 10⁻⁶ m²V⁻¹s⁻¹
Find:
Drift Velocity Vd
Solution:
As Drift Velocity is equal to mobility times Electric field
Vd = μ × E ---1)
and as, Electric field is potential difference per unit length
E = V / L ---2)
from equation 1 and 2
Vd = μ × (V / L)
We have given value as
Mobility (μ) = 5.6 × 10⁻⁶ m²V⁻¹s⁻¹
Potential difference (V) = 6 V
Length of conductor (L) = 0.12 metre
Putting all the values in formula
Vd = 5.6 × 10⁻⁶ × (6 / 0.12) m/s
Vd = 5.6 × 10⁻⁶ × 50 m/s
Vd = 280 × 10⁻⁶ m/s
Vd = 2.80 × 10⁻⁴ m/s
Hence the Drift velocity is 2.80 × 10⁻⁴ m/s.
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