Consider a conductor of length 0.5 m. A potential difference of 20V is applied across this conductor. If the drift velocity of electrons is given as 5.0 × 10-4ms-1, then determine the mobility of the electrons.
Question
Consider a conductor of length 0.5 m. A potential difference of 20V is applied across this conductor. If the drift velocity of electrons is given as 5.0 × 10-4ms-1, then determine the mobility of the electrons.
Solution
The mobility of electrons (μ) in a conductor can be determined using the formula:
μ = Drift velocity (v) / Electric field (E)
The electric field (E) in a conductor can be calculated using the formula:
E = Voltage (V) / Length (L)
Given in the problem, we have:
Voltage (V) = 20V Length (L) = 0.5m Drift velocity (v) = 5.0 × 10^-4 m/s
First, let's calculate the electric field (E):
E = V / L E = 20V / 0.5m E = 40 V/m
Now, we can calculate the mobility (μ):
μ = v / E μ = 5.0 × 10^-4 m/s / 40 V/m μ = 1.25 × 10^-5 m^2/Vs
So, the mobility of the electrons in the conductor is 1.25 × 10^-5 m^2/Vs.
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