A 10 C of charge flows through a wire in 5 minutes. The radius of the wire is 1 mm. It contains 5×1022 electrons per centimetre3. Calculate the current and drift velocity.
Answers
Given info : A 10 C of charge flows through a wire in 5 minutes. The radius of the wire is 1 mm. It contains 5 × 10²² electrons per cm³.
To find : The current and drift velocity are ...
solution : we know, current is the rate of flowing of charge.
so, I = Q/t
here charge, Q = 10 C and time, t = 5 min = 5 × 60 = 300 sec
so, i = 10/300 = 1/30 = 0.033 A
Therefore the current through the wire is 0.033 A.
now drift velocity, v = i/neA [ formula ]
where I is current flowing through wire, n is number of electrons per unit volume, e is charge on electron and A is cross section area.
n = 5 × 10²² /cm³ = 5 × 10^28 /m³
e = 1.6 × 10^-19 C
A = πr² = 3.14 × (1 × 10¯³)² = 3.14 × 10¯⁶ m²
so, v = (0.033)/(5 × 10^28 × 1.6 × 10^-19 × 3.14 × 10^-6)
= (0.033)/(5 × 1.6 × 3.14 × 10³)
= 0.0013 × 10¯³ m/s
= 1.3 × 10¯⁶ m/s
Therefore the drift velocity of electron is 1.3 × 10¯⁶ m/s.
also read similar questions : A current of 4A is flowing in a copper wire. If the same current is allowed to flow through another copper wire of doubl...
https://brainly.in/question/355425
A silver wire of 1mm diameter has a charge of 90 coulmb flowing in 1hour 15mim. Silver contains 5.8× 10^28 free electron...
https://brainly.in/question/6392687