How many electrons are passing through a wire per second if current is 1.oomA
Physics
ScanSolve AI Answer
Step-by-step solution
5 stepsKuna hatua chache za kutatua tatizo hili:
Tambua kanuni
Tunahitaji kutumia uhusiano kati ya mkondo (I), malipo (Q), na muda (t), pamoja na uhusiano kati ya malipo ya jumla na malipo ya elektroni moja (e).
- Mkondo ni kiwango cha mtiririko wa malipo: I = Q/t
- Malipo ya jumla ni idadi ya elektroni (n) mara malipo ya elektroni moja: Q = n × e
- Malipo ya elektroni moja (e) ni takriban 1.602 × 10⁻¹⁹ Coulombs (C).
Andika upya fomula
Tunaweza kuchanganya fomula hizi ili kupata uhusiano kati ya mkondo na idadi ya elektroni kwa sekunde.
- I = (n × e) / t
- Kwa kuwa tunataka kujua idadi ya elektroni kwa sekunde, tunaweza kuangalia n/t.
- Kutoka I = (n × e) / t, tunaweza kuandika upya kama I/e = n/t.
- Kwa hivyo, idadi ya elektroni kwa sekunde (n/t) ni sawa na mkondo (I) kugawanywa na malipo ya elektroni moja (e).
Badilisha maadili
- Mkondo (I) = 1.00 mA. Tunahitaji kubadilisha hii kuwa Amperes (A). 1 mA = 0.001 A, kwa hivyo I = 0.001 A.
- Malipo ya elektroni moja (e) = 1.602 × 10⁻¹⁹ C.
Hesabu
- Idadi ya elektroni kwa sekunde = I / e
- Idadi ya elektroni kwa sekunde = (0.001 A) / (1.602 × 10⁻¹⁹ C)
Fanya hesabu
- Idadi ya elektroni kwa sekunde ≈ 6.24 × 10¹⁵ elektroni/sekunde.
Jibu: Kuna takriban 6.24 × 10¹⁵ elektroni zinazopita kupitia waya kila sekunde.
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