A current of 1.6 ampere is flowing in a conductor.The number of electrons flowing per second through the conductor is
Answers
Answer:
Explanation:
Current(I)=charge(Q)/time(t)
In question, it is given that current is 1.6mA I.e 1.6*10^-3A
As it is asking about number of electrons per second that is charge flowing per second that is Current.
And we know Q=ne
So, I=Q/t
1.6*10^-3=1.6*10-19n/t
-> n/t(electrons per second)= 10^16.
So 10^16 electrons will pass through the cross section per second
Given,
Current (I) = 1.6A
Time (t) = 1 second
To Find,
The number of electrons (ne) flowing per second through the conductor.
Solution,
As we know, the current is defined as the rate of flow of charged element,
⇒ I =
Hence the charge flown is,
⇒ Q = I × t
⇒ Q = 1.6 × 1
⇒ Q = 1.6C
The charge Q is due to electrons, therefore,
⇒ Q = ne
The electronic charge of value is 1.6 × 10^-19
⇒ 1.6 = n × 1.6 × 10^-19
⇒ n = 16 × 10^-19 / 1.6
⇒ n = 10 × 10^-19
Hence, the number of electrons flowing per second through the conductor is 10 × 10^-19.