how many electrons flow through a metallic wire if a current of. 5 ampere is passed through 2 hours?
Answers
Answer:
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Answer:
Number of electrons = 2.25 × 10²³ electrons.
Explanation:
Given:
- Current = 5 A
- Time taken = 2 hours = 7200 s
To Find:
- Number of electrons
Solution:
Here we have to find the charge of the conductor.
Charge of a conductor is given by the formula,
q = I × t
where q = charge
I = current
t = time taken
Substitute the data,
q = 5 × 7200
q = 36000 C
Hence charge on the conductor is 36000 C.
Now by the property of quantization of charges,
q = ne
where n = number of electrons, e = 1.6 × 10⁻¹⁹ C
Substitute the data,
n = q/e
n = 36000/1.6 × 10⁻¹⁹
n = 2.25 × 10²³ electrons
Hence 2.25 × 10²³ electrons flow through the conductor.
Notes:
By the property of quantization of charges, electric charge is always an integral multiple of e.
q = n e
where q is the charge
n = number of electroons
e = charge of an electron