Answer to Question #185794 in Astronomy | Astrophysics for arshia

Question #185794

In 5 minutes, a current of 5 amps is established in a wire. How many coulombs and how many electrons pass through each cross section of this wire?


1
Expert's answer
2021-04-26T16:48:33-0400

The current is

I=qt    q=It\displaystyle I = \frac{q}{t} \; \Longrightarrow \; q = It

q=5A560s=1500Cq = 5 A \cdot5 \cdot 60 s = 1500\,C

One electron has charge 1.61019C1.6 \cdot 10^{-19} \, C. Then

N=q1.61019=15001.61019=937.51019=9.3751021\displaystyle N = \frac{q}{1.6 \cdot 10^{-19}} = \frac{1500}{1.6 \cdot 10^{-19}} = 937.5 \cdot 10^{19} = 9.375 \cdot 10^{21}

Answer: 1500  C,9.37510211500\; C, \, 9.375 \cdot 10^{21}


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